dorsal/arxiv
View SchemaQuantum cloning with continuous variables
| Authors | Nicolas J. Cerf |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0210061 |
| URL | https://arxiv.org/abs/quant-ph/0210061 |
Abstract
Cloning machines, that is, transformations that achieve the best approximate copying of a quantum state compatible with the no-cloning theorem, have been a fundamental research topic over the last five years. This study is of particular significance given the close connection between quantum cloning and quantum cryptography: using an optimal cloner generally makes it possible to obtain a tight bound on the best individual eavesdropping strategy in a quantum cryptosystem. In this Chapter, the issue of cloning a continuous-variable quantum system will be analyzed, and a Gaussian cloning transformation will be introduced. This cloner, which copies equally well any two canonically conjugate continuous variables, duplicates all coherent states with a same fidelity (F=2/3). The optical implementation of this cloner and its extension to N-to-M cloners will also be discussed. Finally, the use of this cloner for the security assessment of a quantum key distribution scheme relying on continuous (Gaussian) key carriers will be sketched.
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"abstract": "Cloning machines, that is, transformations that achieve the best approximate\ncopying of a quantum state compatible with the no-cloning theorem, have been a\nfundamental research topic over the last five years. This study is of\nparticular significance given the close connection between quantum cloning and\nquantum cryptography: using an optimal cloner generally makes it possible to\nobtain a tight bound on the best individual eavesdropping strategy in a quantum\ncryptosystem. In this Chapter, the issue of cloning a continuous-variable\nquantum system will be analyzed, and a Gaussian cloning transformation will be\nintroduced. This cloner, which copies equally well any two canonically\nconjugate continuous variables, duplicates all coherent states with a same\nfidelity (F=2/3). The optical implementation of this cloner and its extension\nto N-to-M cloners will also be discussed. Finally, the use of this cloner for\nthe security assessment of a quantum key distribution scheme relying on\ncontinuous (Gaussian) key carriers will be sketched.",
"arxiv_id": "quant-ph/0210061",
"authors": [
"Nicolas J. Cerf"
],
"categories": [
"quant-ph"
],
"title": "Quantum cloning with continuous variables",
"url": "https://arxiv.org/abs/quant-ph/0210061"
},
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