diff --git a/docs/tutorials/dc_hex_ising.ipynb b/docs/tutorials/dc_hex_ising.ipynb new file mode 100644 index 00000000000..51bdf48a4d5 --- /dev/null +++ b/docs/tutorials/dc_hex_ising.ipynb @@ -0,0 +1,1809 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "44ef87b3", + "metadata": {}, + "source": [ + "# Simulation of kicked Ising Hamiltonian with dynamic circuits\n", + "\n", + "*Usage estimate: 10 minutes on `ibm_kingston` (NOTE: This is an estimate only. Your runtime may vary.)*" + ] + }, + { + "cell_type": "markdown", + "id": "c76f2627", + "metadata": {}, + "source": [ + "Dynamic circuits are circuits with classical feedforward - in other words, they are mid-circuit measurements followed by classical logic operations that determine quantum operations conditioned on the classical output. In this tutorial, we will explore dynamic circuits in Qiskit SDK by simulating the kicked Ising model on a lattice of spins.\n", + "\n", + "The Ising model has been studied extensively across areas of physics. It models spins that undergo Ising interactions between lattice sites, as well as kicks from the local magnetic field on each site. The Trotterized time evolution of the spins is given by the following unitary:\n", + "\n", + "\n", + "\n", + "$$\n", + "U(\\theta)=\\left(\\prod_{\\langle j, k\\rangle} \\exp \\left(i \\frac{\\pi}{8} Z_j Z_k\\right)\\right)\\left(\\prod_j \\exp \\left(-i \\frac{\\theta}{2} X_j\\right)\\right)\n", + "$$\n", + "\n", + "To probe the spin dynamics, we study the average magnetization of the spins at each site as a function of Trotter steps. Hence, we construct the following observable:\n", + "\n", + "$$\n", + "\\langle O\\rangle = \\frac{1}{N} \\sum_i \\langle Z_i \\rangle\n", + "$$\n", + "\n", + "To realize the ZZ interaction between lattice sites, we present a solution using the dynamic circuit feature, leading to a significantly shorter circuit depth compared to the standard routing method with SWAP gates. On the other hand, the classical feedforward operations in dynamic circuits typically have longer execution times than quantum gates; hence, dynamic circuits have limitations and tradeoffs. We also present a way to add a dynamical decoupling sequence on idling qubits during the classical feed-forward operation using the [stretch](https://quantum.cloud.ibm.com/docs/guides/stretch) duration.\n" + ] + }, + { + "cell_type": "markdown", + "id": "a6c0af3b", + "metadata": {}, + "source": [ + "## Requirements\n", + "Before starting this tutorial, ensure that you have the following installed:\n", + "\n", + "* Qiskit SDK v2.0 or later with visualization support (`pip install 'qiskit[visualization]'`)\n", + "* Qiskit Runtime v0.37 or later with visualization support (`pip install 'qiskit-ibm-runtime[visualization]'`)\n", + "* Rustworkx graph library (`pip install rustworkx`)" + ] + }, + { + "cell_type": "markdown", + "id": "03860584", + "metadata": {}, + "source": [ + "## Set up" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "88a21408", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "from typing import List\n", + "import rustworkx as rx\n", + "import matplotlib.pyplot as plt\n", + "from rustworkx.visualization import mpl_draw\n", + "from qiskit.circuit import (\n", + " Parameter,\n", + " QuantumCircuit,\n", + " QuantumRegister,\n", + " ClassicalRegister,\n", + ")\n", + "from qiskit.transpiler import CouplingMap\n", + "from qiskit.quantum_info import SparsePauliOp\n", + "from qiskit.circuit.classical import expr\n", + "from qiskit.transpiler.preset_passmanagers import (\n", + " generate_preset_pass_manager,\n", + ")\n", + "from qiskit.transpiler import PassManager\n", + "\n", + "from qiskit.transpiler.basepasses import TransformationPass\n", + "from qiskit.circuit.measure import Measure\n", + "from qiskit.transpiler.passes.utils.remove_final_measurements import (\n", + " calc_final_ops,\n", + ")\n", + "from qiskit.circuit import Instruction\n", + "\n", + "from qiskit.visualization import plot_circuit_layout\n", + "from qiskit.circuit.tools import pi_check\n", + "from qiskit_ibm_runtime import (\n", + " QiskitRuntimeService,\n", + " Batch,\n", + " SamplerV2 as Sampler,\n", + ")\n", + "from qiskit_ibm_runtime.visualization import (\n", + " draw_circuit_schedule_timing,\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "df65631b", + "metadata": {}, + "source": [ + "## Step 1: Map classical inputs to a quantum circuit" + ] + }, + { + "cell_type": "markdown", + "id": "188f83ae", + "metadata": {}, + "source": [ + "We start by defining the lattice to simulate. We choose to work with the honeycomb (also called hexagonal) lattice, which is a planar graph with nodes of degree 3. Here, we specify the size of the lattice, the relevant circuit parameters of interest in the Trotterized dynamics. We will simulate the Trotterized time evolution under the Ising model under three different $\\theta$ values of the local magnetic field." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "e8bc54ef", + "metadata": {}, + "outputs": [], + "source": [ + "hex_rows = 3 # specify lattice size\n", + "hex_cols = 5\n", + "depths = range(9) # specify Trotter steps\n", + "zz_angle = np.pi / 8 # parameter for ZZ interaction\n", + "max_angle = np.pi / 2 # max theta angle\n", + "points = 3 # number of theta parameters\n", + "\n", + "θ = Parameter(\"θ\")\n", + "params = np.linspace(0, max_angle, points)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "0b12f364", + "metadata": {}, + "outputs": [], + "source": [ + "def make_hex_lattice(hex_rows=1, hex_cols=1):\n", + " hex_cmap = CouplingMap.from_hexagonal_lattice(\n", + " hex_rows, hex_cols, bidirectional=False\n", + " )\n", + " data = list(hex_cmap.physical_qubits)\n", + " graph = hex_cmap.graph.to_undirected(multigraph=False)\n", + " edge_colors = rx.graph_misra_gries_edge_color(graph)\n", + " layer_edges = {color: [] for color in edge_colors.values()}\n", + " for edge_index, color in edge_colors.items():\n", + " layer_edges[color].append(graph.edge_list()[edge_index])\n", + " return data, layer_edges, hex_cmap, graph" + ] + }, + { + "cell_type": "markdown", + "id": "b2286ebb", + "metadata": {}, + "source": [ + "Let's start with a small test example:" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "c011bc1a", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "hex_rows_test = 1\n", + "hex_cols_test = 2\n", + "\n", + "data_test, layer_edges_test, hex_cmap_test, graph_test = make_hex_lattice(\n", + " hex_rows=hex_rows_test, hex_cols=hex_cols_test\n", + ") \n", + "\n", + "# display a small example for illustration\n", + "node_colors_test = [\"lightblue\"] * len(graph_test.node_indices())\n", + "pos = rx.graph_spring_layout(\n", + " graph_test,\n", + " k=5/np.sqrt(len(graph_test.nodes())), \n", + " repulsive_exponent=1, \n", + " num_iter=150, \n", + ")\n", + "mpl_draw(graph_test, node_color=node_colors_test, pos=pos) " + ] + }, + { + "cell_type": "markdown", + "id": "8e5f862a", + "metadata": {}, + "source": [ + "We will use the small example for illustration and simulation. Below we also construct a large example to show the workflow can be extended to large sizes." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "ba481bd4", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "num_qubits = 46\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "data, layer_edges, hex_cmap, graph = make_hex_lattice(\n", + " hex_rows=hex_rows, hex_cols=hex_cols\n", + ")\n", + "num_qubits = len(data)\n", + "print(f\"num_qubits = {num_qubits}\")\n", + "\n", + "# display the honeycomb lattice to simulate\n", + "node_colors = [\"lightblue\"] * len(graph.node_indices())\n", + "pos = rx.graph_spring_layout(\n", + " graph,\n", + " k=5/np.sqrt(num_qubits), \n", + " repulsive_exponent=1, \n", + " num_iter=150, \n", + ")\n", + "mpl_draw(graph, node_color=node_colors, pos=pos)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "695e2bad", + "metadata": {}, + "outputs": [], + "source": [ + "observables_unitary = SparsePauliOp.from_sparse_list(\n", + " [(\"Z\", [i], 1 / num_qubits) for i in range(num_qubits)],\n", + " num_qubits=num_qubits,\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "6eb03e83", + "metadata": {}, + "source": [ + "### 1.1 Build unitary circuits" + ] + }, + { + "cell_type": "markdown", + "id": "f4b421fa", + "metadata": {}, + "source": [ + "With the problem size and parameters specified, we are now ready to build the parametrized circuit that simulates the Trotterized time evolution of $U(\\theta)$ with different Trotter steps, specified by the `depth` argument. The circuit we construct has alternating layers of `Rx($\\theta$)` gates and `Rzz` gates. The `Rzz` gates realize the ZZ interactions between coupled spins, which will be placed between each lattice site specified by the `layer_edges` argument." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "9e2dc428", + "metadata": {}, + "outputs": [], + "source": [ + "def gen_hex_unitary(\n", + " num_qubits=6,\n", + " zz_angle=np.pi / 8,\n", + " layer_edges=[\n", + " [(0, 1), (2, 3), (4, 5)],\n", + " [(1, 2), (3, 4), (5, 0)],\n", + " ],\n", + " θ=Parameter(\"θ\"),\n", + " depth=1,\n", + " measure=False,\n", + " final_rot=True,\n", + "):\n", + " circuit = QuantumCircuit(num_qubits)\n", + " for _ in range(depth):\n", + " for i in range(num_qubits):\n", + " circuit.rx(θ, i)\n", + " circuit.barrier()\n", + " for coloring in layer_edges.keys():\n", + " for e in layer_edges[coloring]:\n", + " circuit.rzz(zz_angle, e[0], e[1])\n", + " circuit.barrier()\n", + " if final_rot:\n", + " for i in range(num_qubits):\n", + " circuit.rx(θ, i)\n", + " if measure:\n", + " circuit.measure_all()\n", + "\n", + " return circuit" + ] + }, + { + "cell_type": "markdown", + "id": "24235b4a", + "metadata": {}, + "source": [ + "Visualize the small test circuit:" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "268e6999", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "circ_unitary_test = gen_hex_unitary(\n", + " num_qubits=len(data_test),\n", + " layer_edges=layer_edges_test,\n", + " θ=Parameter(\"θ\"),\n", + " depth=1,\n", + " measure=True,\n", + " )\n", + "circ_unitary_test.draw(output='mpl', fold=-1)" + ] + }, + { + "cell_type": "markdown", + "id": "0a8abb0d", + "metadata": {}, + "source": [ + "Similarly, construct the unitary circuits of the large example at differernt trotter steps." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "6c9e388a", + "metadata": {}, + "outputs": [], + "source": [ + "circuits_unitary = []\n", + "for depth in depths:\n", + " circ = gen_hex_unitary(\n", + " num_qubits=num_qubits,\n", + " layer_edges=layer_edges,\n", + " θ=Parameter(\"θ\"),\n", + " depth=depth,\n", + " measure=True,\n", + " )\n", + " circuits_unitary.append(circ)" + ] + }, + { + "cell_type": "markdown", + "id": "84d2cd91", + "metadata": {}, + "source": [ + "### 1.2 Build dynamic circuit implementation\n", + "\n", + "This section shows the main dynamic circuit implementation to simulate the same Trotterized time evolution. Note that the honeycomb lattice we want to simulate does not match the heavy lattice of the hardware qubits. One straightforward way to map the circuit to the hardware is to introduce a series of SWAP operations to bring interacting qubits next to each other, to realize the ZZ interaction. Here we highlight an alternative approach using dynamic circuits as a solution to illustrate that we can use the combination of quantum and real-time classical computation within a circuit in Qiskit to realize interactions beyond nearest-neighbor. \n", + "\n", + "In the dynamic circuit implementation, the ZZ interaction is effectively implemented by using ancilla qubits, mid-circuit measurement, and feed-forward. To understand this, note that the ZZ rotations apply a phase factor $e^{i\\theta}$ to the state based on its parity. For two qubits, the computational basis states are $|00\\rangle$, $|01\\rangle$, $|10\\rangle$, and $|11\\rangle$. The ZZ rotation gate applies a phase factor to states $|01\\rangle$ and $|10\\rangle$ whose parity (the number of `1`s in the state) is odd and leaves even-parity states unchanged. The following describes how we can effectively implement ZZ interactions on two qubits using dynamic circuits.\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "1. Compute parity into an ancilla qubit: Instead of directly applying ZZ to two qubits, we introduce a third qubit, the ancilla qubit, to store the parity information of the two data qubits. We entangle the ancilla with each data qubit using CX gates from the data qubit to the ancilla qubit. \n", + "\n", + "\n", + "\n", + "2. Apply a single-qubit Z rotation to the ancilla qubit: This is because the ancilla has the parity information of the two data qubits, which effectively implements the ZZ rotation on the data qubits.\n", + "\n", + "\n", + "\n", + "3. Measure the ancilla qubit in the X basis: this is the key step that collapses the state of the ancilla qubit, and the measurement outcome tells us what has happened:\n", + "\n", + " * Measure 0: When a 0 outcome is observed, we have in fact correctly applied a ZZ(θ) rotation to our data qubits.\n", + "\n", + " * Measure 1: When a 1 outcome is observed, We've applied $ZZ(\\theta + \\pi)$ instead.\n", + "\n", + "\n", + "\n", + "4. Apply correction gate when measuring 1: If we measured 1, we apply Z gates to the data qubits to \"fix\" the extra $\\pi$ phase.\n", + "\n", + " \n", + "\n", + "The resulting circuit is the following:\n", + "\n", + "![dynamic implementation](data:image/png;base64,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)" + ] + }, + { + "cell_type": "markdown", + "id": "9872fed2", + "metadata": {}, + "source": [ + "When we adopt this approach to simulate a honeycomb lattice, the resulting circuit embeds perfectly into the hardware with a heavy-hex lattice: all data qubits reside on the degree-3 sites of the lattice, which forms a hexagonal lattice. Every pair of data qubits shares an ancilla qubit residing on a degree-2 site. Below, we construct the qubit lattice for the dynamic circuit implementation, introducing ancilla qubits (shown in the darker purple circles). " + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "c0e7afd2", + "metadata": {}, + "outputs": [], + "source": [ + "def make_lattice(hex_rows=1, hex_cols=1):\n", + " # define lattice (change rows and cols to get larger lattices)\n", + " hex_cmap = CouplingMap.from_hexagonal_lattice(\n", + " hex_rows, hex_cols, bidirectional=False\n", + " )\n", + " data = list(hex_cmap.physical_qubits)\n", + "\n", + " heavyhex_cmap = CouplingMap()\n", + " for d in data:\n", + " heavyhex_cmap.add_physical_qubit(d)\n", + "\n", + " a = len(data)\n", + " for edge in hex_cmap.get_edges():\n", + " heavyhex_cmap.add_physical_qubit(a)\n", + " heavyhex_cmap.add_edge(edge[0], a)\n", + " heavyhex_cmap.add_edge(edge[1], a)\n", + " a += 1\n", + " ancilla = list(range(len(data), a))\n", + " qubits = data + ancilla\n", + "\n", + " # color edges\n", + " graph = heavyhex_cmap.graph.to_undirected(multigraph=False)\n", + " edge_colors = rx.graph_misra_gries_edge_color(graph)\n", + " layer_edges = {color: [] for color in edge_colors.values()}\n", + " for edge_index, color in edge_colors.items():\n", + " layer_edges[color].append(graph.edge_list()[edge_index])\n", + "\n", + " obs_hex = SparsePauliOp.from_sparse_list(\n", + " [(\"Z\", [i], 1 / len(data)) for i in data],\n", + " num_qubits=len(qubits),\n", + " )\n", + "\n", + " return (\n", + " data,\n", + " qubits,\n", + " ancilla,\n", + " layer_edges,\n", + " heavyhex_cmap,\n", + " graph,\n", + " obs_hex,\n", + " )" + ] + }, + { + "cell_type": "markdown", + "id": "5c39eeab", + "metadata": {}, + "source": [ + "Visualize the heavyhex lattice for data qubits and ancilla qubits at a small scale:" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "2d7224ef", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "number of data qubits = 46\n", + "number of ancilla qubits = 60\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "(\n", + " data,\n", + " qubits,\n", + " ancilla,\n", + " layer_edges,\n", + " heavyhex_cmap,\n", + " graph,\n", + " obs_hex,\n", + ") = make_lattice(hex_rows=hex_rows, hex_cols=hex_cols)\n", + "\n", + "print(f\"number of data qubits = {len(data)}\")\n", + "print(f\"number of ancilla qubits = {len(ancilla)}\")\n", + "node_colors = []\n", + "for node in graph.node_indices():\n", + " if node in ancilla:\n", + " node_colors.append(\"purple\")\n", + " else:\n", + " node_colors.append(\n", + " \"lightblue\"\n", + " ) \n", + "\n", + "pos = rx.graph_spring_layout(\n", + " graph,\n", + " k=1/np.sqrt(len(qubits)), \n", + " repulsive_exponent=2, \n", + " num_iter=200, \n", + ")\n", + "\n", + "# Draw with custom node colors\n", + "mpl_draw(graph, node_color=node_colors, pos=pos)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "bf9177d2", + "metadata": {}, + "source": [ + "Below, we construct the dynamic circuit for the Trotterized time evolution. The `RZZ` gates are replaced with the dynamic circuit implementation using the steps described above. " + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "4c98664f", + "metadata": {}, + "outputs": [], + "source": [ + "def gen_hex_dynamic(\n", + " depth=1,\n", + " zz_angle=np.pi / 8,\n", + " θ=Parameter(\"θ\"),\n", + " hex_rows=1,\n", + " hex_cols=1,\n", + " measure=False,\n", + " add_dd=True,\n", + "):\n", + "\n", + " (\n", + " data,\n", + " qubits,\n", + " ancilla,\n", + " layer_edges,\n", + " heavyhex_cmap,\n", + " graph,\n", + " obs_hex,\n", + " ) = make_lattice(hex_rows=hex_rows, hex_cols=hex_cols)\n", + " qr = QuantumRegister(len(qubits), \"qr\")\n", + " cr = ClassicalRegister(len(ancilla), \"cr\")\n", + " circuit = QuantumCircuit(qr, cr)\n", + " for d in data:\n", + " circuit.rx(θ, d)\n", + "\n", + " for k in range(depth):\n", + " circuit.barrier()\n", + " for same_color_edges in layer_edges.values():\n", + " for e in same_color_edges:\n", + " circuit.cx(e[0], e[1])\n", + " circuit.barrier()\n", + " for a in ancilla:\n", + " circuit.rz(zz_angle, a)\n", + " circuit.h(a)\n", + " #####need this to align terminal measurement\n", + " circuit.barrier()\n", + "\n", + " for i, a in enumerate(ancilla):\n", + " circuit.measure(a, i)\n", + " d2ros = {}\n", + " a2ro = {}\n", + " for a in ancilla:\n", + " a2ro[a] = cr[ancilla.index(a)]\n", + " for d in data:\n", + " ros = [a2ro[a] for a in heavyhex_cmap.neighbors(d)]\n", + " d2ros[d] = ros\n", + " for d in data:\n", + " if add_dd:\n", + " circuit = add_stretch_dd(\n", + " circuit, d, f\"data_{d}_depth_{k}\"\n", + " )\n", + " ros = d2ros[d]\n", + " parity = ros[0]\n", + " for ro in ros[1:]:\n", + " parity = expr.bit_xor(parity, ro)\n", + " with circuit.if_test(expr.equal(parity, True)):\n", + " circuit.z(d)\n", + " for a in ancilla:\n", + " with circuit.if_test(expr.equal(a2ro[a], True)):\n", + " circuit.x(a)\n", + " circuit.barrier()\n", + " for d in data:\n", + " circuit.rx(θ, d)\n", + " if measure:\n", + " circuit.measure_all()\n", + "\n", + " return circuit, obs_hex\n", + "\n", + "\n", + "def add_stretch_dd(qc, q, name):\n", + " s = qc.add_stretch(name)\n", + " qc.delay(s, q)\n", + " qc.rx(np.pi, q)\n", + " qc.delay(s, q)\n", + " qc.delay(s, q)\n", + " qc.rx(-np.pi, q)\n", + " qc.delay(s, q)\n", + " return qc" + ] + }, + { + "cell_type": "markdown", + "id": "c8b3b632", + "metadata": {}, + "source": [ + "#### 1.2.1 Dynamical decoupling (DD) and support for `stretch` duration " + ] + }, + { + "cell_type": "markdown", + "id": "1f08bda1", + "metadata": {}, + "source": [ + "One caveat of using the dynamic circuit implementation to realize the ZZ interaction is that the mid-circuit measurement and the classical feed-forward operations typically take a longer time to execute than quantum gates. To suppress qubit decoherence during the idling time for the classical operations to happen, we added a [dynamical decoupling](https://quantum.cloud.ibm.com/docs/en/guides/error-mitigation-and-suppression-techniques#dynamical-decoupling) (DD) sequence after the measurement operation on the ancilla qubits, and before the conditional Z operation on the data qubit, before the `if_test` statement. \n", + "\n", + "The DD sequence is added by the function `add_stretch_dd()`, which uses the [`stretch` durations](https://quantum.cloud.ibm.com/docs/guides/stretch) to determine the time intervals between the DD gates. A `stretch` duration is a way to specify a stretchable time duration for the `delay` operation such that the delay duration can grow to fill up the qubit idling time. The duration variables specified by `stretch` are resolved at compile time into desired durations that satisfy a certain constraint. This is very useful when the timing of DD sequences is essential to achieve good error suppression performance. For more details on the `stretch` type, please see the [OpenQASM](https://openqasm.com/language/delays.html#duration-and-stretch-types) documentation. Currently, support for the `stretch` type in Qiskit Runtime is experimental. For details on its usage constraints, please refer to [this page](https://quantum.cloud.ibm.com/docs/en/guides/stretch#qiskit-runtime-limitations).\n", + "\n", + "Using the functions defined above, we build the Trotterized time evolution circuits, with and without DD, and the corresponding observables." + ] + }, + { + "cell_type": "markdown", + "id": "997419c8", + "metadata": {}, + "source": [ + "We start by visualizing the dynamic circuit of a small example:" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "b6e2e76c", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "hex_rows_test = 1\n", + "hex_cols_test = 1\n", + "\n", + "(\n", + " data_test,\n", + " qubits_test,\n", + " ancilla_test,\n", + " layer_edges_test,\n", + " heavyhex_cmap_test,\n", + " graph_test,\n", + " obs_hex_test,\n", + ") = make_lattice(hex_rows=hex_rows_test, hex_cols=hex_cols_test)\n", + "\n", + "node_colors = []\n", + "for node in graph_test.node_indices():\n", + " if node in ancilla_test:\n", + " node_colors.append(\"purple\")\n", + " else:\n", + " node_colors.append(\n", + " \"lightblue\"\n", + " )\n", + "pos = rx.graph_spring_layout(\n", + " graph_test,\n", + " k=5/np.sqrt(len(qubits_test)), \n", + " repulsive_exponent=2, \n", + " num_iter=150, \n", + ")\n", + "\n", + "# display a small example for illustration\n", + "node_colors_test = [\"lightblue\"] * len(graph_test.node_indices())\n", + "mpl_draw(graph_test, node_color=node_colors, pos=pos) " + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "735e590a", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "circuit_dynamic_test, _ = gen_hex_dynamic(\n", + " depth=1,\n", + " θ=Parameter(\"θ\"),\n", + " hex_rows=hex_rows_test,\n", + " hex_cols=hex_cols_test,\n", + " measure=False,\n", + " add_dd=False,\n", + " )\n", + "circuit_dynamic_test.draw('mpl', fold=-1)" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "5de9381a", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "circuit_dynamic_dd_test, _ = gen_hex_dynamic(\n", + " depth=1,\n", + " θ=Parameter(\"θ\"),\n", + " hex_rows=hex_rows_test,\n", + " hex_cols=hex_cols_test,\n", + " measure=False,\n", + " add_dd=True,\n", + ")\n", + "circuit_dynamic_dd_test.draw('mpl', fold=-1)" + ] + }, + { + "cell_type": "markdown", + "id": "956dd43e", + "metadata": {}, + "source": [ + "Similarly, construct the dynamic circuits for the large example:" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "id": "bd7b2be0", + "metadata": {}, + "outputs": [], + "source": [ + "circuits_dynamic = []\n", + "circuits_dynamic_dd = []\n", + "observables_dynamic = []\n", + "for depth in depths:\n", + " circuit, obs = gen_hex_dynamic(\n", + " depth=depth,\n", + " θ=Parameter(\"θ\"),\n", + " hex_rows=hex_rows,\n", + " hex_cols=hex_cols,\n", + " measure=True,\n", + " add_dd=False,\n", + " )\n", + " circuits_dynamic.append(circuit)\n", + "\n", + " circuit_dd, _ = gen_hex_dynamic(\n", + " depth=depth,\n", + " θ=Parameter(\"θ\"),\n", + " hex_rows=hex_rows,\n", + " hex_cols=hex_cols,\n", + " measure=True,\n", + " add_dd=True,\n", + " )\n", + " circuits_dynamic_dd.append(circuit_dd)\n", + " observables_dynamic.append(obs)" + ] + }, + { + "cell_type": "markdown", + "id": "0f0fdf70", + "metadata": {}, + "source": [ + "## Step 2: Optimize for hardware execution" + ] + }, + { + "cell_type": "markdown", + "id": "86642d2b", + "metadata": {}, + "source": [ + "We are now ready to transpile the circuit to the hardware. We will transpile both the unitary standard implementation and the dynamic circuit implementation to the hardware.\n", + "\n", + "To transpile to the hardware, we first instantiate the backend." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "08e22a4a", + "metadata": {}, + "outputs": [], + "source": [ + "service = QiskitRuntimeService()\n", + "backend = service.least_busy(operational=True, simulator=False)" + ] + }, + { + "cell_type": "markdown", + "id": "67eff99e", + "metadata": {}, + "source": [ + "### 2.1 Stardard transpilation for unitary circuits" + ] + }, + { + "cell_type": "markdown", + "id": "9bca47c1", + "metadata": {}, + "source": [ + "As a comparison to the dynamic circuit implementation, we use the standard transpiler with the preset pass manager. " + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "3b920923", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "qc = circuits_unitary[2]\n", + "\n", + "pm = generate_preset_pass_manager(\n", + " optimization_level=3, backend=backend\n", + ")\n", + "tqc = pm.run(qc)\n", + "\n", + "tqc.draw(\"mpl\", idle_wires=False, fold=-1)" + ] + }, + { + "cell_type": "markdown", + "id": "811cf7b6", + "metadata": {}, + "source": [ + "To ensure we use the same set of physical qubits in all circuits for more consistent results, we transpile to a set of the physical qubits specified by `initial_layout`, and then construct the [primitive unified blocs](https://quantum.cloud.ibm.com/docs/guides/primitive-input-output) (PUBs) as the Sampler primitive input." + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "id": "4487cb71", + "metadata": {}, + "outputs": [], + "source": [ + "def get_used_qubit_mapping(qc: QuantumCircuit):\n", + " \"\"\"Get used physical qubits from a transpiled circuit\"\"\"\n", + " qubits = []\n", + " for (\n", + " key,\n", + " value,\n", + " ) in qc.layout.initial_layout.get_physical_bits().items():\n", + " if value._register.name == \"q\":\n", + " qubits.append(key)\n", + " return qubits\n", + "\n", + "\n", + "def transpile_minimize(\n", + " circ: QuantumCircuit, pm: PassManager, iterations=10\n", + "):\n", + " \"\"\"Transpile circuits for specified number of iterations and return the one with smallest two-qubit gate depth\"\"\"\n", + " circs = [pm.run(circ) for i in range(iterations)]\n", + " circs_sorted = sorted(\n", + " circs,\n", + " key=lambda x: x.depth(\n", + " lambda x: x.operation.num_qubits == 2\n", + " ),\n", + " )\n", + " return circs_sorted[0]\n", + "\n", + "\n", + "init_layout = get_used_qubit_mapping(tqc)\n", + "\n", + "pm = generate_preset_pass_manager(\n", + " optimization_level=3,\n", + " backend=backend,\n", + " initial_layout=init_layout,\n", + ")\n", + "unitary_isa_circuits = []\n", + "for circ in circuits_unitary:\n", + " circ_t = transpile_minimize(circ, pm, iterations=100)\n", + " unitary_isa_circuits.append(circ_t)\n", + "\n", + "unitary_pubs = [(circ, params) for circ in unitary_isa_circuits]" + ] + }, + { + "cell_type": "markdown", + "id": "610622b4", + "metadata": {}, + "source": [ + "### 2.2 Transpilation for dynamic circuits\n", + "Similarly, we transpile the dynamic circuits, with and without adding the DD sequence, and construct the corresponding PUBs." + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "id": "aa653907", + "metadata": {}, + "outputs": [], + "source": [ + "pm = generate_preset_pass_manager(\n", + " optimization_level=3,\n", + " backend=backend,\n", + ")\n", + "\n", + "dynamic_isa_circuits = [pm.run(circ) for circ in circuits_dynamic]\n", + "dynamic_pubs = [(circ, params) for circ in dynamic_isa_circuits]\n", + "\n", + "dynamic_isa_circuits_dd = [\n", + " pm.run(circ) for circ in circuits_dynamic_dd\n", + "]\n", + "dynamic_pubs_dd = [\n", + " (circ, params) for circ in dynamic_isa_circuits_dd\n", + "]" + ] + }, + { + "cell_type": "markdown", + "id": "6979ad68", + "metadata": {}, + "source": [ + "We can visualize the qubit layout and the transpiled circuit below." + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "id": "65b2df70", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "def _heron_coords_r2():\n", + " cord_map = np.array(\n", + " [\n", + " [\n", + " 0,\n", + " 1,\n", + " 2,\n", + " 3,\n", + " 4,\n", + " 5,\n", + " 6,\n", + " 7,\n", + " 8,\n", + " 9,\n", + " 10,\n", + " 11,\n", + " 12,\n", + " 13,\n", + " 14,\n", + " 15,\n", + " 3,\n", + " 7,\n", + " 11,\n", + " 15,\n", + " 0,\n", + " 1,\n", + " 2,\n", + " 3,\n", + " 4,\n", + " 5,\n", + " 6,\n", + " 7,\n", + " 8,\n", + " 9,\n", + " 10,\n", + " 11,\n", + " 12,\n", + " 13,\n", + " 14,\n", + " 15,\n", + " 1,\n", + " 5,\n", + " 9,\n", + " 13,\n", + " 0,\n", + " 1,\n", + " 2,\n", + " 3,\n", + " 4,\n", + " 5,\n", + " 6,\n", + " 7,\n", + " 8,\n", + " 9,\n", + " 10,\n", + " 11,\n", + " 12,\n", + " 13,\n", + " 14,\n", + " 15,\n", + " 3,\n", + " 7,\n", + " 11,\n", + " 15,\n", + " 0,\n", + " 1,\n", + " 2,\n", + " 3,\n", + " 4,\n", + " 5,\n", + " 6,\n", + " 7,\n", + " 8,\n", + " 9,\n", + " 10,\n", + " 11,\n", + " 12,\n", + " 13,\n", + " 14,\n", + " 15,\n", + " 1,\n", + " 5,\n", + " 9,\n", + " 13,\n", + " 0,\n", + " 1,\n", + " 2,\n", + " 3,\n", + " 4,\n", + " 5,\n", + " 6,\n", + " 7,\n", + " 8,\n", + " 9,\n", + " 10,\n", + " 11,\n", + " 12,\n", + " 13,\n", + " 14,\n", + " 15,\n", + " 3,\n", + " 7,\n", + " 11,\n", + " 15,\n", + " 0,\n", + " 1,\n", + " 2,\n", + " 3,\n", + " 4,\n", + " 5,\n", + " 6,\n", + " 7,\n", + " 8,\n", + " 9,\n", + " 10,\n", + " 11,\n", + " 12,\n", + " 13,\n", + " 14,\n", + " 15,\n", + " 1,\n", + " 5,\n", + " 9,\n", + " 13,\n", + " 0,\n", + " 1,\n", + " 2,\n", + " 3,\n", + " 4,\n", + " 5,\n", + " 6,\n", + " 7,\n", + " 8,\n", + " 9,\n", + " 10,\n", + " 11,\n", + " 12,\n", + " 13,\n", + " 14,\n", + " 15,\n", + " 3,\n", + " 7,\n", + " 11,\n", + " 15,\n", + " 0,\n", + " 1,\n", + " 2,\n", + " 3,\n", + " 4,\n", + " 5,\n", + " 6,\n", + " 7,\n", + " 8,\n", + " 9,\n", + " 10,\n", + " 11,\n", + " 12,\n", + " 13,\n", + " 14,\n", + " 15,\n", + " ],\n", + " -1\n", + " * np.array(\n", + " [\n", + " j\n", + " for i in range(15)\n", + " for j in [i] * [16, 4][i % 2]\n", + " ]\n", + " ),\n", + " ],\n", + " dtype=int,\n", + " )\n", + "\n", + " hcords = []\n", + " ycords = cord_map[0]\n", + " xcords = cord_map[1]\n", + " for i in range(156):\n", + " hcords.append([xcords[i] + 1, np.abs(ycords[i]) + 1])\n", + "\n", + " return hcords\n", + "\n", + "\n", + "plot_circuit_layout(\n", + " dynamic_isa_circuits_dd[8],\n", + " backend,\n", + " qubit_coordinates=_heron_coords_r2(),\n", + " view=\"physical\",\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "id": "82fb6fa8", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dynamic_isa_circuits[1].draw(\n", + " fold=-1, output=\"mpl\", idle_wires=False\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "id": "99ad295c", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "execution_count": 36, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dynamic_isa_circuits_dd[1].draw(\n", + " fold=-1, output=\"mpl\", idle_wires=False\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "47d43b9e", + "metadata": {}, + "source": [ + "#### 2.2.1 Transpile using `MidCircuitMeasure` \n", + "\n", + "The `MidCircuitMeasure` is an addition to the available measurement operations, calibrated specifically to perform [mid-circuit measurements](https://quantum.cloud.ibm.com/docs/en/guides/measure-qubits#mid-circuit-measurements). The `MidCircuitMeasure` instruction maps to the `measure_2` instruction supported by the backends. Note that `measure_2` is not supported on all backends. You can use `service.backends(filters=lambda b: \"measure_2\" in b.supported_instructions)` to find backends that support it. Here, we show how to transpile the circuit so that the mid-circuit measurements defined in the circuit are executed using the `MidCircuitMeasure` operation, if the backend supports it.\n", + "\n", + "Below, we print the duration for the `measure_2` instruction and the standard `measure` instruction." + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "id": "de870864", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Mid-circuit measurement `measure_2` duration: 1.76 μs\n", + "Terminal measurement `measure` duration: 2.28 μs\n" + ] + } + ], + "source": [ + "print(f'Mid-circuit measurement `measure_2` duration: {backend.instruction_durations.get('measure_2',0) * backend.dt * 1e9/1e3} μs')\n", + "print(f'Terminal measurement `measure` duration: {backend.instruction_durations.get('measure',0) * backend.dt *1e9/1e3} μs')" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "id": "a1bdc9e7", + "metadata": {}, + "outputs": [], + "source": [ + "\"\"\"Pass that replaces terminal measures in the middle of the circuit with\n", + "MidCircuitMeasure instructions.\"\"\"\n", + "\n", + "\n", + "class ConvertToMidCircuitMeasure(TransformationPass):\n", + " \"\"\"This pass replaces terminal measures in the middle of the circuit with\n", + " MidCircuitMeasure instructions.\n", + " \"\"\"\n", + "\n", + " def __init__(self, target):\n", + " super().__init__()\n", + " self.target = target\n", + "\n", + " def run(self, dag):\n", + " \"\"\"Run the pass on a dag.\"\"\"\n", + " mid_circ_measure = None\n", + " for inst in self.target.instructions:\n", + " if isinstance(inst[0], Instruction) and inst[\n", + " 0\n", + " ].name.startswith(\"measure_\"):\n", + " mid_circ_measure = inst[0]\n", + " break\n", + " if not mid_circ_measure:\n", + " return dag\n", + "\n", + " final_measure_nodes = calc_final_ops(dag, {\"measure\"})\n", + " for node in dag.op_nodes(Measure):\n", + " if node not in final_measure_nodes:\n", + " dag.substitute_node(\n", + " node, mid_circ_measure, inplace=True\n", + " )\n", + "\n", + " return dag\n", + "\n", + "\n", + "pm = PassManager(ConvertToMidCircuitMeasure(backend.target))\n", + "\n", + "dynamic_isa_circuits_meas2 = [\n", + " pm.run(circ) for circ in dynamic_isa_circuits\n", + "]\n", + "dynamic_pubs_meas2 = [\n", + " (circ, params) for circ in dynamic_isa_circuits_meas2\n", + "]\n", + "\n", + "dynamic_isa_circuits_dd_meas2 = [\n", + " pm.run(circ) for circ in dynamic_isa_circuits_dd\n", + "]\n", + "dynamic_pubs_dd_meas2 = [\n", + " (circ, params) for circ in dynamic_isa_circuits_dd_meas2\n", + "]" + ] + }, + { + "cell_type": "markdown", + "id": "c4980277", + "metadata": {}, + "source": [ + "### 2.3 Compare two-qubit gate depth of unitary and dynamic circuits" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "id": "36f1d72d", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# compare circuit depth of unitary and dynamic circuit implementations\n", + "unitary_depth = [\n", + " unitary_isa_circuits[i].depth(\n", + " lambda x: x.operation.num_qubits == 2\n", + " )\n", + " for i in range(len(unitary_isa_circuits))\n", + "]\n", + "\n", + "dynamic_depth = [\n", + " dynamic_isa_circuits[i].depth(\n", + " lambda x: x.operation.num_qubits == 2\n", + " )\n", + " for i in range(len(dynamic_isa_circuits))\n", + "]\n", + "\n", + "plt.plot(\n", + " list(range(len(unitary_depth))),\n", + " unitary_depth,\n", + " label=\"unitary circuits\",\n", + " color=\"#be95ff\",\n", + ")\n", + "plt.plot(\n", + " list(range(len(dynamic_depth))),\n", + " dynamic_depth,\n", + " label=\"dynamic circuits\",\n", + " color=\"#ff7eb6\",\n", + ")\n", + "plt.xlabel(\"Trotter steps\")\n", + "plt.ylabel(\"Two-qubit depth\")\n", + "plt.legend()" + ] + }, + { + "cell_type": "markdown", + "id": "c566243b", + "metadata": {}, + "source": [ + "The main benefit of the measurement-based circuit is that, when implementing multiple ZZ interactions, the CX layers can be parallelized, and measurements can occur simultaneously. This is because all ZZ interactions commute, so the computation can be performed with measurement depth 1. After transpiling the circuits, we observe that the dynamic circuit approach yields a shorter two-qubit depth than the standard unitary approach." + ] + }, + { + "cell_type": "markdown", + "id": "206a7278", + "metadata": {}, + "source": [ + "## Step 3: Execute on hardware" + ] + }, + { + "cell_type": "markdown", + "id": "ebd28d97", + "metadata": {}, + "source": [ + "With the circuits and observables prepared, we now execute them on hardware using the Sampler primitive. \n", + "\n", + "Here we submit three jobs for `unitary_pubs`, `dynamic_pubs`, and `dynamic_pubs_dd`. Each is a list of parametrized circuits corresponding to nine different Trotter steps with three different $\\theta$ parameters." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "76b5e07e", + "metadata": {}, + "outputs": [], + "source": [ + "shots = 10000\n", + "use_cached_results = True\n", + "\n", + "if use_cached_results:\n", + " job_unitary = shared_service.job(\"d46cind63mfc73a7t51g\")\n", + " job_dynamic = shared_service.job(\"d46cinmjf4ms73apjl00\")\n", + " job_dynamic_dd = shared_service.job(\"d46cio563mfc73a7t52g\")\n", + " job_dynamic_meas2 = shared_service.job(\"d46ciomjf4ms73apjl10\")\n", + " job_dynamic_dd_meas2 = shared_service.job(\"d46cip6n7jjs73bth870\")\n", + "else:\n", + " with Batch(backend=backend) as batch:\n", + " sampler = Sampler(mode=batch)\n", + "\n", + " sampler.options.experimental = {\n", + " \"execution\": {\n", + " \"scheduler_timing\": True\n", + " }, # set to True to retrieve circuit timeing info\n", + " }\n", + "\n", + " job_unitary = sampler.run(unitary_pubs, shots=shots)\n", + " print(f\"unitary: {job_unitary.job_id()}\")\n", + "\n", + " job_dynamic = sampler.run(dynamic_pubs, shots=shots)\n", + " print(f\"dynamic: {job_dynamic.job_id()}\")\n", + "\n", + " job_dynamic_dd = sampler.run(dynamic_pubs_dd, shots=shots)\n", + " print(f\"dynamic_dd: {job_dynamic_dd.job_id()}\")\n", + "\n", + " job_dynamic_meas2 = sampler.run(\n", + " dynamic_pubs_meas2, shots=shots\n", + " )\n", + " print(f\"dynamic_meas2: {job_dynamic_meas2.job_id()}\")\n", + "\n", + " job_dynamic_dd_meas2 = sampler.run(\n", + " dynamic_pubs_dd_meas2, shots=shots\n", + " )\n", + " print(f\"dynamic_dd_meas2: {job_dynamic_dd_meas2.job_id()}\")" + ] + }, + { + "cell_type": "markdown", + "id": "273fa3a0", + "metadata": {}, + "source": [ + "## Step 4: Post-process and visualize results\n", + "\n", + "After the jobs are completed, we can retrieve the circuit duration from the job results metadata and visualize the circuit schedule information. To read more about visualizing a circuit's scheduling information, refer to [this page](https://quantum.cloud.ibm.com/docs/en/guides/visualize-circuit-timing#qiskit-runtime-support)." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "bc16418f", + "metadata": {}, + "outputs": [], + "source": [ + "# Circuit durations is reported in the unit of `dt` which can be retrieved from `Backend` object\n", + "unitary_durations = [\n", + " job_unitary.result()[i].metadata[\"compilation\"][\n", + " \"scheduler_timing\"\n", + " ][\"circuit_duration\"]\n", + " for i in depths\n", + "]\n", + "\n", + "dynamic_durations = [\n", + " job_dynamic.result()[i].metadata[\"compilation\"][\n", + " \"scheduler_timing\"\n", + " ][\"circuit_duration\"]\n", + " for i in depths\n", + "]\n", + "\n", + "dynamic_durations_meas2 = [\n", + " job_dynamic_meas2.result()[i].metadata[\"compilation\"][\n", + " \"scheduler_timing\"\n", + " ][\"circuit_duration\"]\n", + " for i in depths\n", + "]\n", + "\n", + "result_dd = job_dynamic_dd.result()[1]\n", + "circuit_schedule_dd = result_dd.metadata[\"compilation\"][\n", + " \"scheduler_timing\"\n", + "][\"timing\"]\n", + "\n", + "# to visualize the circuit schedule, one can show the figure below\n", + "fig_dd = draw_circuit_schedule_timing(\n", + " circuit_schedule=circuit_schedule_dd,\n", + " included_channels=None,\n", + " filter_readout_channels=False,\n", + " filter_barriers=False,\n", + " width=1000,\n", + ")\n", + "\n", + "# Save to a file since the figure is large\n", + "fig_dd.write_html(\"scheduler_timing_dd.html\")" + ] + }, + { + "cell_type": "markdown", + "id": "bee08b77", + "metadata": {}, + "source": [ + "We plot the circuit durations for unitary circuits and the dynamic circuits. From the plot below, we confirm that the dynamic circuit implementation results in a significantly shorter circuit duration. In the case of the dynamic circuits with `measure_2`, the circuit duration is reduced by nearly half." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "639221e6", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 114, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# visualize circuit durations\n", + "\n", + "def convert_dt_to_microseconds(circ_duration: List, backend_dt: float):\n", + " dt = backend_dt * 1e6 # dt in microseconds\n", + " return list(map(lambda x: x * dt, circ_duration))\n", + "\n", + "dt = backend.target.dt\n", + "plt.plot(\n", + " depths,\n", + " convert_dt_to_microseconds(unitary_durations, dt),\n", + " color=\"#be95ff\",\n", + " linestyle=\":\",\n", + " label=\"unitary\",\n", + ")\n", + "plt.plot(\n", + " depths,\n", + " convert_dt_to_microseconds(dynamic_durations, dt),\n", + " color=\"#ff7eb6\",\n", + " linestyle=\"-.\",\n", + " label=\"dynamic\",\n", + ")\n", + "plt.plot(\n", + " depths,\n", + " convert_dt_to_microseconds(dynamic_durations_meas2, dt),\n", + " color=\"#ff7eb6\",\n", + " linestyle=\"-.\",\n", + " marker=\"s\",\n", + " mfc=\"none\",\n", + " label=\"dynamic w/ meas2\",\n", + ")\n", + "\n", + "plt.xlabel(\"Trotter steps\")\n", + "plt.ylabel(r\"Circuit durations in $\\mu$s\")\n", + "plt.legend()" + ] + }, + { + "cell_type": "markdown", + "id": "3c2bd06f", + "metadata": {}, + "source": [ + "After the jobs are completed, we retrieve the data below and compute the average magnetization estimated by the observables `observables_unitary` or `observables_dynamic` we constructed earlier." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "f4947049", + "metadata": {}, + "outputs": [], + "source": [ + "runs = {\n", + " \"unitary\": (\n", + " job_unitary,\n", + " [observables_unitary] * len(circuits_unitary),\n", + " ),\n", + " # Omitting Dyn w/o DD and Dynamic w/ DD plots for better readability\n", + " # \"dynamic\": (job_dynamic, observables_dynamic),\n", + " # \"dynamic_dd\": (job_dynamic_dd, observables_dynamic),\n", + " \"dynamic_meas2\": (job_dynamic_meas2, observables_dynamic),\n", + " \"dynamic_dd_meas2\": (\n", + " job_dynamic_dd_meas2,\n", + " observables_dynamic,\n", + " ),\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 160, + "id": "583d417e", + "metadata": {}, + "outputs": [], + "source": [ + "data_dict = {}\n", + "for key, (job, obs) in runs.items():\n", + " data = []\n", + " for i in range(points):\n", + " data.append(\n", + " [\n", + " job.result()[ind]\n", + " .data[\"meas\"]\n", + " .expectation_values(obs[ind])[i]\n", + " for ind in depths\n", + " ]\n", + " )\n", + " data_dict[key] = data" + ] + }, + { + "cell_type": "markdown", + "id": "507073d9", + "metadata": {}, + "source": [ + "Below we plot the spin magnetization as a function of the Trotter steps at different $\\theta$ values, corresponding to different strengths of the local magnetic field. We plot both the pre-computed MPS simulation results for the unitary ideal circuits, together with the experimental results from the following: \n", + "\n", + "1. running the unitary circuits\n", + "2. running the dynamic circuits with `MidCircuitMeasure`\n", + "3. running the dynamic circuits with DD and `MidCircuitMeasure`" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "986ab670", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(10, 6))\n", + "\n", + "data_sim = np.real(np.load(\"MPS_sim/magnetization_3x3.npy\"))\n", + "\n", + "colors = [\"#0f62fe\", \"#be95ff\", \"#ff7eb6\"]\n", + "for i in range(points):\n", + " plt.plot(\n", + " depths,\n", + " data_sim[i],\n", + " color=colors[i],\n", + " linestyle=\"solid\",\n", + " label=f\"θ={pi_check(i*max_angle/(points-1))} (Ideal)\",\n", + " )\n", + " plt.plot(\n", + " depths,\n", + " data_dict[\"unitary\"][i],\n", + " color=colors[i],\n", + " linestyle=\":\",\n", + " label=f\"θ={pi_check(i*max_angle/(points-1))} (Unitary)\",\n", + " )\n", + "\n", + " # Omitting Dyn w/o DD and Dynamic w/ DD plots for better readability\n", + " # plt.plot(\n", + " # depths,\n", + " # data_dict[\"dynamic\"][i],\n", + " # color=colors[i],\n", + " # linestyle=\"-.\",\n", + " # label=f\"θ={pi_check(i*max_angle/(points-1))} (Dyn w/o DD)\",\n", + " # )\n", + " # plt.plot(\n", + " # depths,\n", + " # data_dict[\"dynamic_dd\"][i],\n", + " # marker=\"D\",\n", + " # mfc=\"none\",\n", + " # color=colors[i],\n", + " # linestyle=\"-.\",\n", + " # label=f\"θ={pi_check(i*max_angle/(points-1))} (Dynamic w/ DD)\",\n", + " # )\n", + "\n", + " plt.plot(\n", + " depths,\n", + " data_dict[\"dynamic_meas2\"][i],\n", + " marker=\"s\",\n", + " mfc=\"none\",\n", + " color=colors[i],\n", + " linestyle=\"-.\",\n", + " label=f\"θ={pi_check(i*max_angle/(points-1))} (Dynamic w/ MidCircuitMeas)\",\n", + " )\n", + "\n", + " plt.plot(\n", + " depths,\n", + " data_dict[\"dynamic_dd_meas2\"][i],\n", + " marker=\"*\",\n", + " markersize=8,\n", + " color=colors[i],\n", + " linestyle=\"-.\",\n", + " label=f\"θ={pi_check(i*max_angle/(points-1))} (Dynamic w/ DD & MidCircuitMeas)\",\n", + " )\n", + "\n", + "\n", + "plt.xlabel(\"Trotter steps\", fontsize=16)\n", + "plt.ylabel(\"Average magnetization\", fontsize=16)\n", + "plt.xticks(rotation=45)\n", + "handles, labels = plt.gca().get_legend_handles_labels()\n", + "plt.legend(\n", + " handles,\n", + " labels,\n", + " loc=\"upper right\",\n", + " bbox_to_anchor=(1.46, 1.0),\n", + " shadow=True,\n", + " ncol=1,\n", + ")\n", + "plt.title(\n", + " f\"{hex_rows}x{hex_cols} hex ring, {num_qubits} data qubits, {len(ancilla)} ancilla qubits \\n{backend.name}: Sampler\"\n", + ")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "aead1034", + "metadata": {}, + "source": [ + "When we compare the experimental results with the simulation, we see that the dynamic circuit implementation (dashed-dotted line) overall has break-even performance with the standard unitary implementation (dotted line). Adding dynamical decoupling sequences helps in certain cases—for example, for $\\theta=\\pi/4$ or $\\theta=\\pi/2$ at certain Trotter steps. However, it does not help in other cases—for example, for $\\theta=0$. In summary, we present dynamic circuits as a solution for simulating Ising spin models on a honeycomb lattice, a topology that is not native to the hardware. The dynamic circuit solution allows ZZ interactions between qubits that are not nearest neighbors, with a shorter two-qubit gate depth than using SWAP gates, at the cost of introducing extra ancilla qubits and classical feed-forward operations." + ] + }, + { + "cell_type": "markdown", + "id": "52fb43e1", + "metadata": {}, + "source": [ + "# References\n", + "- Quantum computing with Qiskit, by Javadi-Abhari, A., Treinish, M., Krsulich, K., Wood, C.J., Lishman, J., Gacon, J., Martiel, S., Nation, P.D., Bishop, L.S., Cross, A.W. and Johnson, B.R., 2024. arXiv preprint [arXiv:2405.08810 (2024)](https://arxiv.org/abs/2405.08810)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": ".venv", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.5" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +}