dorsal/arxiv
View SchemaMatrix Element Distribution as a Signature of Entanglement Generation
| Authors | Yaakov S. Weinstein, C. Stephen Hellberg |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0507103 |
| URL | https://arxiv.org/abs/quant-ph/0507103 |
| DOI | 10.1103/PhysRevA.72.022331 |
| Journal | Phys. Rev. A, 72, 022331 (2005) |
Abstract
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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"abstract": "We explore connections between an operator\u0027s matrix element distribution and\nits entanglement generation. Operators with matrix element distributions\nsimilar to those of random matrices generate states of high multi-partite\nentanglement. This occurs even when other statistical properties of the\noperators do not conincide with random matrices. Similarly, operators with some\nstatistical properties of random matrices may not exhibit random matrix element\ndistributions and will not produce states with high levels of multi-partite\nentanglement. Finally, we show that operators with similar matrix element\ndistributions generate similar amounts of entanglement.",
"arxiv_id": "quant-ph/0507103",
"authors": [
"Yaakov S. Weinstein",
"C. Stephen Hellberg"
],
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"quant-ph"
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"doi": "10.1103/PhysRevA.72.022331",
"journal_ref": "Phys. Rev. A, 72, 022331 (2005)",
"title": "Matrix Element Distribution as a Signature of Entanglement Generation",
"url": "https://arxiv.org/abs/quant-ph/0507103"
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