dorsal/arxiv
View SchemaA Geometric Diagram of Separable States
| Authors | Ping Xing Chen, Cheng Zu Li |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0403015 |
| URL | https://arxiv.org/abs/quant-ph/0403015 |
Abstract
This paper present a geometric diagram of a separable state: If a mixed state $\sigma $ is separable, there are $2^{nS(\sigma)}$ linearly independant product vectors which span the same Hilbert space as the $2^{nS(\sigma)}$ ``likely'' strings of $\sigma ^{\otimes n}$ do. This diagram results in a criterion for separability which is strictly stronger than the inorder criterion in [M.A. Nielsen and J. Kempe, Phys. Rev. Lett. 86, 5184 (2001)]. This means that the number of product bases of states of a system has close link to the nonlocality of the system.
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"abstract": "This paper present a geometric diagram of a separable state: If a mixed state\n$\\sigma $ is separable, there are $2^{nS(\\sigma)}$ linearly independant product\nvectors which span the same Hilbert space as the $2^{nS(\\sigma)}$ ``likely\u0027\u0027\nstrings of $\\sigma ^{\\otimes n}$ do. This diagram results in a criterion for\nseparability which is strictly stronger than the inorder criterion in [M.A.\nNielsen and J. Kempe, Phys. Rev. Lett. 86, 5184 (2001)]. This means that the\nnumber of product bases of states of a system has close link to the nonlocality\nof the system.",
"arxiv_id": "quant-ph/0403015",
"authors": [
"Ping Xing Chen",
"Cheng Zu Li"
],
"categories": [
"quant-ph"
],
"title": "A Geometric Diagram of Separable States",
"url": "https://arxiv.org/abs/quant-ph/0403015"
},
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