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Optimal distinction between non-orthogonal quantum states

Quantum Physics 2009-09-25 v1

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.

Keywords

Cite

@article{arxiv.quant-ph/9804031,
  title  = {Optimal distinction between non-orthogonal quantum states},
  author = {Asher Peres and Daniel Terno},
  journal= {arXiv preprint arXiv:quant-ph/9804031},
  year   = {2009}
}

Comments

9 pages LaTeX, one PostScript figure on separate page