[67 Qubits BU] Leveraging Modularity for Twelve Unitary Circuit Decompositions

[nicolajack]

iQuHack 2026: Superquantum Challenge

Title: Leveraging Modularity for Twelve Unitary Circuit Decompositions
Team Name: 67 Qubits
Team Members: Adam Godel, Yebin Song, Nico Jackson, Travis Meyer, Timothy Wright
Affiliation: Boston University, Boston, MA

Project Write-up & Presentation Slides

Our complete technical writeup is available in the writeup/ directory:

• PDF: writeup/main.pdf - Start here! This is the compiled document with all our implementations, optimizations, and experimental results.

• Slides: Access our slides here!

Project Overview

This repository contains our implementations of 12 unitary operators using the Clifford + T gate set, where the T gate is the most computationally expensive gate to execute. Our goal was to optimize quantum circuits by:

1. Minimizing T-gate count - Reducing the "quantumness" and computational cost
2. Minimizing approximation error - Achieving high fidelity to target unitaries
3. Exploring the tradeoff - Balancing these competing objectives