### Abstract

Original language | English |
---|---|

Pages (from-to) | 136-144 |

Journal | Physical Review A |

Volume | 60 |

Issue number | 1 |

DOIs | |

Publication status | Published - Jul 1999 |

### Fingerprint

### Keywords

- quantum cloning
- quantum physics
- optics

### Cite this

*Physical Review A*,

*60*(1), 136-144. https://doi.org/10.1103/PhysRevA.60.136

}

*Physical Review A*, vol. 60, no. 1, pp. 136-144. https://doi.org/10.1103/PhysRevA.60.136

**Strategies and networks for state-dependent quantum cloning.** / Chefles, Anthony; Barnett, Stephen M.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Strategies and networks for state-dependent quantum cloning

AU - Chefles, Anthony

AU - Barnett, Stephen M.

PY - 1999/7

Y1 - 1999/7

N2 - State-dependent cloning machines that have so far been considered either deterministically copy a set of states approximately or probablistically copy them exactly. In considering the case of two equiprobable pure states, we derive the maximum global fidelity of N approximate clones given M initial exact copies, where N>M. We also consider strategies that interpolate between approximate and exact cloning. A tight inequality is obtained that expresses a trade-off between the global fidelity and success probability. This inequality is found to tend, in the limit N → ∞, to a known inequality that expresses the trade-off between error and inconclusive result probabilities for state-discrimination measurements. Quantum-computational networks are also constructed for the kinds of cloning machine we describe. For this purpose, we introduce two gates: the distinguishability transfer and state separation gates. Their key properties are described and we show how they may be decomposed into basic operations.

AB - State-dependent cloning machines that have so far been considered either deterministically copy a set of states approximately or probablistically copy them exactly. In considering the case of two equiprobable pure states, we derive the maximum global fidelity of N approximate clones given M initial exact copies, where N>M. We also consider strategies that interpolate between approximate and exact cloning. A tight inequality is obtained that expresses a trade-off between the global fidelity and success probability. This inequality is found to tend, in the limit N → ∞, to a known inequality that expresses the trade-off between error and inconclusive result probabilities for state-discrimination measurements. Quantum-computational networks are also constructed for the kinds of cloning machine we describe. For this purpose, we introduce two gates: the distinguishability transfer and state separation gates. Their key properties are described and we show how they may be decomposed into basic operations.

KW - quantum cloning

KW - quantum physics

KW - optics

UR - http://arxiv.org/PS_cache/quant-ph/pdf/9812/9812035v1.pdf

UR - http://dx.doi.org/10.1103/PhysRevA.60.136

U2 - 10.1103/PhysRevA.60.136

DO - 10.1103/PhysRevA.60.136

M3 - Article

VL - 60

SP - 136

EP - 144

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

SN - 1050-2947

IS - 1

ER -