dorsal/arxiv
View SchemaEntangled Mixed States and Local Purification
| Authors | Adrian Kent |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9805088 |
| URL | https://arxiv.org/abs/quant-ph/9805088 |
| DOI | 10.1103/PhysRevLett.81.2839 |
| Journal | Phys.Rev.Lett. 81 (1998) 2839-2841 |
Abstract
Linden, Massar and Popescu have recently given an optimization argument to show that a single two-qubit Werner state, or any other mixture of the maximally entangled Bell states, cannot be purified by local operations and classical communications. We generalise their result and give a simple explanation. In particular, we show that no purification scheme using local operations and classical communications can produce a pure singlet from any mixed state of two spin-1/2 particles. More generally, no such scheme can produce a maximally entangled state of any pair of finite-dimensional systems from a generic mixed state. We also show that the Werner states belong to a large class of states whose fidelity cannot be increased by such a scheme.
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"abstract": "Linden, Massar and Popescu have recently given an optimization argument to\nshow that a single two-qubit Werner state, or any other mixture of the\nmaximally entangled Bell states, cannot be purified by local operations and\nclassical communications. We generalise their result and give a simple\nexplanation. In particular, we show that no purification scheme using local\noperations and classical communications can produce a pure singlet from any\nmixed state of two spin-1/2 particles. More generally, no such scheme can\nproduce a maximally entangled state of any pair of finite-dimensional systems\nfrom a generic mixed state. We also show that the Werner states belong to a\nlarge class of states whose fidelity cannot be increased by such a scheme.",
"arxiv_id": "quant-ph/9805088",
"authors": [
"Adrian Kent"
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"quant-ph"
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"doi": "10.1103/PhysRevLett.81.2839",
"journal_ref": "Phys.Rev.Lett. 81 (1998) 2839-2841",
"title": "Entangled Mixed States and Local Purification",
"url": "https://arxiv.org/abs/quant-ph/9805088"
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