### Abstract

Given a finite set of linearly independent quantum states, an observer who examines a single quantum system may sometimes identify its state with certainty. However, unless these quantum states are orthogonal, there is a finite probability of failure. A complete solution is given to the problem of optimal distinction of three states, having arbitrary prior probabilities and arbitrary detection values. A generalization to more than three states is outlined.

Original language | English |
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Pages (from-to) | 7105-7111 |

Number of pages | 7 |

Journal | Journal of Physics A: Mathematical and General |

Volume | 31 |

Issue number | 34 |

DOIs | |

Publication status | Published - 28 Aug 1998 |

Externally published | Yes |

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## Cite this

Peres, A., & Terno, D. R. (1998). Optimal distinction between non-orthogonal quantum states.

*Journal of Physics A: Mathematical and General*,*31*(34), 7105-7111. https://doi.org/10.1088/0305-4470/31/34/013