English

Pseudo-random operators of the circular ensembles

Quantum Physics 2009-11-10 v2

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.

Keywords

Cite

@article{arxiv.quant-ph/0402157,
  title  = {Pseudo-random operators of the circular ensembles},
  author = {Yaakov S. Weinstein and C. Stephen Hellberg},
  journal= {arXiv preprint arXiv:quant-ph/0402157},
  year   = {2009}
}

Comments

5 pages, 4 figures, to be published PRA

R2 v1 2026-07-22T19:42:57.957Z