### Abstract

Unambiguous discrimination and exact cloning reduce the square-overlap between quantum states, exemplifying the more general type of procedure we term state separation. We obtain the maximum probability with which two equiprobable quantum states can be separated by an arbitrary degree, and find that the established bounds on the success probabilities for discrimination and cloning are special cases of this general bound. The latter also gives the maximum probability of successfully producing N exact copies of a quantum system whose state is chosen secretly from a known pair, given M initial realizations of the state, where N > M. We also discuss the relationship between this bound and that on unambiguous state discrimination.

Original language | English |
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Pages (from-to) | 10097-10103 |

Number of pages | 6 |

Journal | Journal of Physics A: Mathematical and Theoretical |

Volume | 31 |

Issue number | 50 |

DOIs | |

Publication status | Published - 1998 |

### Keywords

- quantum state separation
- exact cloning
- physics
- quantum states

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## Cite this

Chefles, A., & Barnett, S. M. (1998). Quantum state separation, unambiguous discrimination and exact cloning.

*Journal of Physics A: Mathematical and Theoretical*,*31*(50), 10097-10103. https://doi.org/10.1088/0305-4470/31/50/007