dorsal/arxiv
View SchemaMatrix Element Randomness, Entanglement, and Quantum Chaos
| Authors | Yaakov S. Weinstein, C. Stephen Hellberg |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0405053 |
| URL | https://arxiv.org/abs/quant-ph/0405053 |
Abstract
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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"abstract": "We demonstrate the connection between an operator\u0027s matrix element\ndistribution and entangling power via numerical simulations of random,\npseudo-random, and quantum chaotic operators. Creating operators with a random\ndistribution of matrix elements is more difficult than creating operators that\nreproduce other statistical properties of random matrices. Thus, operators that\nfulfill many random matrix statistical properties may not generate states of\nhigh multi-partite entanglement. To quantify the randomness of various\nstatistical distributions and, by extension, entangling power, we use\nproperties of interpolating ensembles that transition between integrable and\nrandom matrix ensembles.",
"arxiv_id": "quant-ph/0405053",
"authors": [
"Yaakov S. Weinstein",
"C. Stephen Hellberg"
],
"categories": [
"quant-ph"
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"title": "Matrix Element Randomness, Entanglement, and Quantum Chaos",
"url": "https://arxiv.org/abs/quant-ph/0405053"
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