dorsal/arxiv
View SchemaThe optimal cloning of quantum coherent states is non-Gaussian
| Authors | N. J. Cerf, O. Krueger, P. Navez, R. F. Werner, M. M. Wolf |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0410058 |
| URL | https://arxiv.org/abs/quant-ph/0410058 |
| DOI | 10.1103/PhysRevLett.95.070501 |
| Journal | Phys. Rev. Lett. 95, 070501 (2005) |
Abstract
We consider the optimal cloning of quantum coherent states with single-clone and joint fidelity as figures of merit. Both optimal fidelities are attained for phase space translation covariant cloners. Remarkably, the joint fidelity is maximized by a Gaussian cloner, whereas the single-clone fidelity can be enhanced by non-Gaussian operations: a symmetric non-Gaussian 1-to-2 cloner can achieve a single-clone fidelity of approximately 0.6826, perceivably higher than the optimal fidelity of 2/3 in a Gaussian setting. This optimal cloner can be realized by means of an optical parametric amplifier supplemented with a particular source of non-Gaussian bimodal states. Finally, we show that the single-clone fidelity of the optimal 1-to-infinity cloner, corresponding to a measure-and-prepare scheme, cannot exceed 1/2. This value is achieved by a Gaussian scheme and cannot be surpassed even with supplemental bound entangled states.
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"abstract": "We consider the optimal cloning of quantum coherent states with single-clone\nand joint fidelity as figures of merit. Both optimal fidelities are attained\nfor phase space translation covariant cloners. Remarkably, the joint fidelity\nis maximized by a Gaussian cloner, whereas the single-clone fidelity can be\nenhanced by non-Gaussian operations: a symmetric non-Gaussian 1-to-2 cloner can\nachieve a single-clone fidelity of approximately 0.6826, perceivably higher\nthan the optimal fidelity of 2/3 in a Gaussian setting. This optimal cloner can\nbe realized by means of an optical parametric amplifier supplemented with a\nparticular source of non-Gaussian bimodal states. Finally, we show that the\nsingle-clone fidelity of the optimal 1-to-infinity cloner, corresponding to a\nmeasure-and-prepare scheme, cannot exceed 1/2. This value is achieved by a\nGaussian scheme and cannot be surpassed even with supplemental bound entangled\nstates.",
"arxiv_id": "quant-ph/0410058",
"authors": [
"N. J. Cerf",
"O. Krueger",
"P. Navez",
"R. F. Werner",
"M. M. Wolf"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.95.070501",
"journal_ref": "Phys. Rev. Lett. 95, 070501 (2005)",
"title": "The optimal cloning of quantum coherent states is non-Gaussian",
"url": "https://arxiv.org/abs/quant-ph/0410058"
},
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