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quant-ph2024
Efficient quantum pseudorandomness under conservation laws
Zimu Li, Han Zheng, Zi-Wen Liu
The efficiency of locally generating unitary designs, which capture statistical notions of quantum pseudorandomness, lies at the heart of wide-ranging areas in physics and quantum…
quant-ph2024
Convergence efficiency of quantum gates and circuits
Linghang Kong, Zimu Li, Zi-Wen Liu
We consider quantum circuit models where the gates are drawn from arbitrary gate ensembles given by probabilistic distributions over certain gate sets and circuit architectures, wh…