|
| related topics |
| {state, states, coherent} |
| {states, state, optimal} |
| {key, protocol, security} |
| {energy, gaussian, time} |
| {phase, path, phys} |
| {alice, bob, state} |
| {information, entropy, channel} |
| {state, phys, rev} |
| {measurement, state, measurements} |
| {qubit, qubits, gate} |
| {error, code, errors} |
| {light, field, probe} |
| {bell, inequality, local} |
|
Quantum cloning with continuous variables
Nicolas J. Cerf
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0210061
- categories:
- quant-ph
- comments:
- To appear in the book "Quantum Information with Continuous
Variables", edited by S. L. Braunstein and A. K. Pati, (Kluwer Academic,
2002)
- arxiv_id:
- quant-ph/0210061
- created:
- 2002-10-09
Full article ▸
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