dorsal/arxiv
View SchemaOn the efficiency of nonlocal gates generation
| Authors | Berry Groisman, Benni Reznik |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0410170 |
| URL | https://arxiv.org/abs/quant-ph/0410170 |
| DOI | 10.1103/PhysRevA.71.032322 |
| Journal | Phys. Rev. A 71, 032322 (2005) |
Abstract
We propose and study a method for using non-maximally entangled states to implement probabilistically non-local gates. Unlike distillation-based protocols, this method does not generate a maximally entangled state at intermediate stages of the process. As a consequences, the method becomes more efficient at a certain range of parameters. Gates of the form $\exp[i\xi\sigma_{n_A}\sigma_{n_B}]$ with $\xi\ll1$, can be implemented with nearly unit probability and with vanishingly small entanglement, while for the distillation-based method the gate is produced with a vanishing success probability. We also derive an upper bound to the optimal success probability and show that in the small entanglement limit, the bound is tight.
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"abstract": "We propose and study a method for using non-maximally entangled states to\nimplement probabilistically non-local gates. Unlike distillation-based\nprotocols, this method does not generate a maximally entangled state at\nintermediate stages of the process. As a consequences, the method becomes more\nefficient at a certain range of parameters. Gates of the form\n$\\exp[i\\xi\\sigma_{n_A}\\sigma_{n_B}]$ with $\\xi\\ll1$, can be implemented with\nnearly unit probability and with vanishingly small entanglement, while for the\ndistillation-based method the gate is produced with a vanishing success\nprobability. We also derive an upper bound to the optimal success probability\nand show that in the small entanglement limit, the bound is tight.",
"arxiv_id": "quant-ph/0410170",
"authors": [
"Berry Groisman",
"Benni Reznik"
],
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"quant-ph"
],
"doi": "10.1103/PhysRevA.71.032322",
"journal_ref": "Phys. Rev. A 71, 032322 (2005)",
"title": "On the efficiency of nonlocal gates generation",
"url": "https://arxiv.org/abs/quant-ph/0410170"
},
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