dorsal/arxiv
View SchemaConcurrence as a Relative Entropy with Hilbert-Schmidt Distance in Bell Decomposable States
| Authors | S. J. Akhtarshenas, M. A. Jafarizadeh |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0208001 |
| URL | https://arxiv.org/abs/quant-ph/0208001 |
Abstract
Hilbert-Schmidt distance reduces to Euclidean distance in Bell decomposable states. Based on this, entanglement of these states are obtained according to the protocol proposed in Ref. [V. Vedral et al, Phys. Rev. Lett. 78, 2275 (1995)] with Hilbert-Schmidt distance. It is shown that this measure is equal to the concurrence and thus can be used to generate entanglement of formation. We also introduce a new measure of distance and show that under the action of restricted LQCC operations, the associated measure of entanglement transforms in the same way as the concurrence transforms .
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"abstract": "Hilbert-Schmidt distance reduces to Euclidean distance in Bell decomposable\nstates. Based on this, entanglement of these states are obtained according to\nthe protocol proposed in Ref. [V. Vedral et al, Phys. Rev. Lett. 78, 2275\n(1995)] with Hilbert-Schmidt distance. It is shown that this measure is equal\nto the concurrence and thus can be used to generate entanglement of formation.\nWe also introduce a new measure of distance and show that under the action of\nrestricted LQCC operations, the associated measure of entanglement transforms\nin the same way as the concurrence transforms .",
"arxiv_id": "quant-ph/0208001",
"authors": [
"S. J. Akhtarshenas",
"M. A. Jafarizadeh"
],
"categories": [
"quant-ph"
],
"title": "Concurrence as a Relative Entropy with Hilbert-Schmidt Distance in Bell Decomposable States",
"url": "https://arxiv.org/abs/quant-ph/0208001"
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