Matrix Element Randomness, Entanglement, and Quantum Chaos

Details Matrix Element Randomness, Entanglement, and Quantum Chaos Matrix Element Randomness, Entanglement, and Quantum Chaos

2004-05-11

arxiv.org/abs/quant-ph/0405053v1

Physics

Quantum Physics

5 pages, 3 figures

Scientific paper

We demonstrate the connection between an operator's matrix element distribution and entangling power via numerical simulations of random, pseudo-random, and quantum chaotic operators. Creating operators with a random distribution of matrix elements is more difficult than creating operators that reproduce other statistical properties of random matrices. Thus, operators that fulfill many random matrix statistical properties may not generate states of high multi-partite entanglement. To quantify the randomness of various statistical distributions and, by extension, entangling power, we use properties of interpolating ensembles that transition between integrable and random matrix ensembles.

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