Optimal distinction between non-orthogonal quantum states

Asher Peres*, Daniel R. Terno

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

121 Citations (Scopus)


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 languageEnglish
Pages (from-to)7105-7111
Number of pages7
JournalJournal of Physics A: Mathematical and General
Issue number34
Publication statusPublished - 28 Aug 1998
Externally publishedYes


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