dorsal/arxiv
View SchemaAnother convex combination of product states for the separable Werner state
| Authors | Hiroo Azuma, Masashi Ban |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0601044 |
| URL | https://arxiv.org/abs/quant-ph/0601044 |
| DOI | 10.1103/PhysRevA.73.032315 |
| Journal | Phys. Rev. A 73, 032315 (2006) |
Abstract
In this paper, we write down the separable Werner state in a two-qubit system explicitly as a convex combination of product states, which is different from the convex combination obtained by Wootters' method. The Werner state in a two-qubit system has a single real parameter and varies from inseparable state to separable state according to the value of its parameter. We derive a hidden variable model that is induced by our decomposed form for the separable Werner state. From our explicit form of the convex combination of product states, we understand the following: The critical point of the parameter for separability of the Werner state comes from positivity of local density operators of the qubits.
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"abstract": "In this paper, we write down the separable Werner state in a two-qubit system\nexplicitly as a convex combination of product states, which is different from\nthe convex combination obtained by Wootters\u0027 method. The Werner state in a\ntwo-qubit system has a single real parameter and varies from inseparable state\nto separable state according to the value of its parameter. We derive a hidden\nvariable model that is induced by our decomposed form for the separable Werner\nstate. From our explicit form of the convex combination of product states, we\nunderstand the following: The critical point of the parameter for separability\nof the Werner state comes from positivity of local density operators of the\nqubits.",
"arxiv_id": "quant-ph/0601044",
"authors": [
"Hiroo Azuma",
"Masashi Ban"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.73.032315",
"journal_ref": "Phys. Rev. A 73, 032315 (2006)",
"title": "Another convex combination of product states for the separable Werner state",
"url": "https://arxiv.org/abs/quant-ph/0601044"
},
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