Pseudo-random operators of the circular ensembles

Details Pseudo-random operators of the circular ensembles Pseudo-random operators of the circular ensembles

2004-02-20

arxiv.org/abs/quant-ph/0402157v2

Phys. Rev. A, 71, 014303, (2005).

Physics

Quantum Physics

5 pages, 4 figures, to be published PRA

Scientific paper

10.1103/PhysRevA.71.014303

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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