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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…