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Pseudo-random operators of the circular ensembles

Yaakov S. Weinstein·C. Stephen Hellberg
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Abstract

We demonstrate quantum algorithms to implement pseudo-random operators that closely reproduce statistical properties of random matrices from the three universal classes: unitary, symmetric, and symplectic. Modified versions of the algorithms are introduced for the less experimentally challenging quantum cellular automata. For implementing pseudo-random symplectic operators we provide gate sequences for the unitary part of the time-reversal operator.

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Yaakov S. Weinstein, C. Stephen Hellberg. 2004-11-22. Pseudo-random operators of the circular ensembles. https://doi.org/10.1103/physreva.71.014303

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