Results in optimal discrimination

Kieran Hunter

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Abstract

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.
Original languageEnglish
Pages (from-to)83-86
Number of pages4
JournalAmerican Institute of Physics Conference Proceedings
Volume734
Issue number83
DOIs
Publication statusPublished - 15 Nov 2004

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Keywords

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

Cite this

Hunter, K. (2004). Results in optimal discrimination. American Institute of Physics Conference Proceedings, 734(83), 83-86. https://doi.org/10.1063/1.1834388