12 citations · 27 across the 7 of their papers we have counts for
7 papers
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…
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…
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…
Rotationally-Invariant Circuits: Universality with the exchange interaction and two ancilla qubits
Iman Marvian, Hanqing Liu, Austin Hulse
Universality of local unitary transformations is one of the cornerstones of quantum computing with many applications and implications that go beyond this field. However, it has bee…
Qudit circuits with SU(d) symmetry: Locality imposes additional conservation laws
Iman Marvian, Hanqing Liu, Austin Hulse
Local symmetric quantum circuits provide a simple framework to study the dynamics and phases of complex quantum systems with conserved charges. However, some of their basic propert…
Quantum meronomic frames
Austin Hulse, Benjamin Schumacher
Composite quantum systems can be decomposed into subsystems in many different inequivalent ways. We call a particular decomposition a meronomic reference frame for the system. We a…
Axiomatic Information Thermodynamics
Austin Hulse, Benjamin Schumacher, Michael D. Westmoreland
We present an axiomatic framework for thermodynamics that incorporates information as a fundamental concept. The axioms describe both ordinary thermodynamic processes and those in…