dorsal/arxiv
View SchemaEntanglement and thermodynamical analogies
| Authors | Pawel Horodecki, Ryszard Horodecki, Michal Horodecki |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9805072 |
| URL | https://arxiv.org/abs/quant-ph/9805072 |
| Journal | Acta Phys.Slov. 48 (1998) 141-156 |
Abstract
We provide some new properties of entanglement of formation. In particular, we obtain an additive lower bound for entanglement of formation. Subsequently we develop the concept of local orthogonality of ensembles which leads to the mixed states with distillable entanglement equal to entanglement of formation. Then we consider thermodynamical analogies within the entanglement processing domain. Especially, we exploit analogy entanglement -- energy. In this scheme the total entanglement i.e. the amount of singlet pairs needed for local preparation of a state corresponds to internal energy while the free entanglement defined as the number of pairs which can be recovered from the state (distillable entanglement) is the counterpart of free energy. In particular, it leads us to the question about ``temperature'' of entanglement. We also propose a scheme of the search of representative state for given entanglement which can be viewed as an analogue of the Jaynes maximum entropy principle.
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"abstract": "We provide some new properties of entanglement of formation. In particular,\nwe obtain an additive lower bound for entanglement of formation. Subsequently\nwe develop the concept of local orthogonality of ensembles which leads to the\nmixed states with distillable entanglement equal to entanglement of formation.\nThen we consider thermodynamical analogies within the entanglement processing\ndomain. Especially, we exploit analogy entanglement -- energy. In this scheme\nthe total entanglement i.e. the amount of singlet pairs needed for local\npreparation of a state corresponds to internal energy while the free\nentanglement defined as the number of pairs which can be recovered from the\nstate (distillable entanglement) is the counterpart of free energy. In\nparticular, it leads us to the question about ``temperature\u0027\u0027 of entanglement.\nWe also propose a scheme of the search of representative state for given\nentanglement which can be viewed as an analogue of the Jaynes maximum entropy\nprinciple.",
"arxiv_id": "quant-ph/9805072",
"authors": [
"Pawel Horodecki",
"Ryszard Horodecki",
"Michal Horodecki"
],
"categories": [
"quant-ph"
],
"journal_ref": "Acta Phys.Slov. 48 (1998) 141-156",
"title": "Entanglement and thermodynamical analogies",
"url": "https://arxiv.org/abs/quant-ph/9805072"
},
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