Matrix Element Distribution as a Signature of Entanglement Generation

Details Matrix Element Distribution as a Signature of Entanglement Generation Matrix Element Distribution as a Signature of Entanglement Generation

2005-07-11

arxiv.org/abs/quant-ph/0507103v1

Phys. Rev. A, 72, 022331 (2005)

Physics

Quantum Physics

7 pages, 6 figures, to be published PRA, partially supersedes quant-ph/0405053, expands quant-ph/0502110

Scientific paper

10.1103/PhysRevA.72.022331

We explore connections between an operator's matrix element distribution and its entanglement generation. Operators with matrix element distributions similar to those of random matrices generate states of high multi-partite entanglement. This occurs even when other statistical properties of the operators do not conincide with random matrices. Similarly, operators with some statistical properties of random matrices may not exhibit random matrix element distributions and will not produce states with high levels of multi-partite entanglement. Finally, we show that operators with similar matrix element distributions generate similar amounts of entanglement.

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