Simulating Complex Quantum Dynamics

Yaakov S. Weinstein, C. Stephen Hellberg

Published Feb 20, 2004• 0 citations

Abstract

We demonstrate scalable quantum algorithms that realize pseudo-random operators that reproduce statistical properties of the three universal classes of random matrices: unitary, symmetric, and symplectic. These algorithms can be used to simulate and study characteristics of many complex quantum systems and processes which are well described by random matrices, such as the nuclear level spacings of large atoms and chaotic scattering. Modified versions of the algorithms are introduced for quantum cellular automata.

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