dorsal/arxiv
View SchemaEntanglement Measures and Purification Procedures
| Authors | V. Vedral, M. B. Plenio |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9707035 |
| URL | https://arxiv.org/abs/quant-ph/9707035 |
| DOI | 10.1103/PhysRevA.57.1619 |
| Journal | Phys. Rev. A57:1619-1633,1998 |
Abstract
We generalize previously proposed conditions each measure of entanglement has to satisfy. We present a class of entanglement measures that satisfy these conditions and show that the Quantum Relative Entropy and Bures Metric generate two measures of this class. We calculate the measures of entanglement for a number of mixed two spin 1/2 systems using the Quantum Relative Entropy, and provide an efficient numerical method to obtain the measures of entanglement in this case. In addition, we prove a number of properties of our entanglement measure which have important physical implications. We briefly explain the statistical basis of our measure of entanglement in the case of the Quantum Relative Entropy. We then argue that our entanglement measure determines an upper bound to the number of singlets that can be obtained by any purification procedure and that distillable entanglement is in general smaller than the entanglement of creation.
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"abstract": "We generalize previously proposed conditions each measure of entanglement has\nto satisfy. We present a class of entanglement measures that satisfy these\nconditions and show that the Quantum Relative Entropy and Bures Metric generate\ntwo measures of this class. We calculate the measures of entanglement for a\nnumber of mixed two spin 1/2 systems using the Quantum Relative Entropy, and\nprovide an efficient numerical method to obtain the measures of entanglement in\nthis case. In addition, we prove a number of properties of our entanglement\nmeasure which have important physical implications. We briefly explain the\nstatistical basis of our measure of entanglement in the case of the Quantum\nRelative Entropy. We then argue that our entanglement measure determines an\nupper bound to the number of singlets that can be obtained by any purification\nprocedure and that distillable entanglement is in general smaller than the\nentanglement of creation.",
"arxiv_id": "quant-ph/9707035",
"authors": [
"V. Vedral",
"M. B. Plenio"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.57.1619",
"journal_ref": "Phys. Rev. A57:1619-1633,1998",
"title": "Entanglement Measures and Purification Procedures",
"url": "https://arxiv.org/abs/quant-ph/9707035"
},
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