3 papers
quant-ph2025
Optimal Qubit Purification and Unitary Schur Sampling via Random SWAP Tests
Shrigyan Brahmachari, Austin Hulse, Henry D. Pfister +1
The goal of qubit purification is to combine multiple noisy copies of an unknown pure quantum state to obtain one or more copies that are closer to the pure state. We show that a s…
quant-ph2024
Unitary Designs from Random Symmetric Quantum Circuits
Hanqing Liu, Austin Hulse, Iman Marvian
In this work, we study distributions of unitaries generated by random quantum circuits containing only symmetry-respecting gates. We develop a unified approach applicable to all sy…
quant-ph2024
A framework for semi-universality: Semi-universality of 3-qudit SU(d)-invariant gates
Austin Hulse, Hanqing Liu, Iman Marvian
Quantum circuits with symmetry-respecting gates have attracted broad interest in quantum information science. While recent work has developed a theory for circuits with Abelian sym…