### Abstract

Language | English |
---|---|

Pages | 83-86 |

Number of pages | 4 |

Journal | American Institute of Physics Conference Proceedings |

Volume | 734 |

Issue number | 83 |

DOIs | |

Publication status | Published - 15 Nov 2004 |

### Fingerprint

### Keywords

- nonorthogonal quantum states
- quantum states
- qubit
- Davies Theorem
- qubit states
- optimal discrimination

### Cite this

*American Institute of Physics Conference Proceedings*,

*734*(83), 83-86. https://doi.org/10.1063/1.1834388

}

*American Institute of Physics Conference Proceedings*, vol. 734, no. 83, pp. 83-86. https://doi.org/10.1063/1.1834388

**Results in optimal discrimination.** / Hunter, Kieran.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Results in optimal discrimination

AU - Hunter, Kieran

PY - 2004/11/15

Y1 - 2004/11/15

N2 - We study the problem of discriminating between non-orthogonal quantum states with least probability of error. We demonstrate that this problem can be simplified if we solve for the error itself rather than solving directly for the optimal measurement. This method enables us to derive solutions directly and thus make definite statements about the uniqueness of an optimal strategy. This approach immediately leads us to a state-discrimination analogue of Davies Theorem [1]. In the course of this, a complete solution for distinguishing equally likely pure qubit states is presented.

AB - We study the problem of discriminating between non-orthogonal quantum states with least probability of error. We demonstrate that this problem can be simplified if we solve for the error itself rather than solving directly for the optimal measurement. This method enables us to derive solutions directly and thus make definite statements about the uniqueness of an optimal strategy. This approach immediately leads us to a state-discrimination analogue of Davies Theorem [1]. In the course of this, a complete solution for distinguishing equally likely pure qubit states is presented.

KW - nonorthogonal quantum states

KW - quantum states

KW - qubit

KW - Davies Theorem

KW - qubit states

KW - optimal discrimination

U2 - 10.1063/1.1834388

DO - 10.1063/1.1834388

M3 - Article

VL - 734

SP - 83

EP - 86

JO - AIP Conference Proceedings

T2 - AIP Conference Proceedings

JF - AIP Conference Proceedings

SN - 0094-243X

IS - 83

ER -