dorsal/arxiv
View SchemaEntanglement and Tensor Product Decomposition for Two Fermions
| Authors | Pawel Caban, Krzysztof Podlaski, Jakub Rembielinski, Kordian A. Smolinski, Zbigniew Walczak |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0405108 |
| URL | https://arxiv.org/abs/quant-ph/0405108 |
| DOI | 10.1088/0305-4470/38/6/L02 |
| Journal | J.Phys.A38:L79-L86,2005 |
Abstract
The problem of the choice of tensor product decomposition in a system of two fermions with the help of Bogoliubov transformations of creation and annihilation operators is discussed. The set of physical states of the composite system is restricted by the superselection rule forbidding the superposition of fermions and bosons. It is shown that the Wootters concurrence is not proper entanglement measure in this case. The explicit formula for the entanglement of formation is found and its dependence on tensor product decompositions of the Hilbert space is discussed. It is shown that the set of separable states is narrower than in two-qubit case. Moreover, there exist states which are separable with respect to all tensor product decompositions of the Hilbert space.
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"abstract": "The problem of the choice of tensor product decomposition in a system of two\nfermions with the help of Bogoliubov transformations of creation and\nannihilation operators is discussed. The set of physical states of the\ncomposite system is restricted by the superselection rule forbidding the\nsuperposition of fermions and bosons. It is shown that the Wootters concurrence\nis not proper entanglement measure in this case. The explicit formula for the\nentanglement of formation is found and its dependence on tensor product\ndecompositions of the Hilbert space is discussed. It is shown that the set of\nseparable states is narrower than in two-qubit case. Moreover, there exist\nstates which are separable with respect to all tensor product decompositions of\nthe Hilbert space.",
"arxiv_id": "quant-ph/0405108",
"authors": [
"Pawel Caban",
"Krzysztof Podlaski",
"Jakub Rembielinski",
"Kordian A. Smolinski",
"Zbigniew Walczak"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/38/6/L02",
"journal_ref": "J.Phys.A38:L79-L86,2005",
"title": "Entanglement and Tensor Product Decomposition for Two Fermions",
"url": "https://arxiv.org/abs/quant-ph/0405108"
},
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