Unambiguous discrimination between linearly independent quantum states

1998/03/01 by Anthony Chefles · 26 citations
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph

paper · pdf · doi:10.1016/s0375-9601(98)00064-4

published as Phys.Lett. A239 (1998) 339-347

openalex publication_date 1998/03/01 · arxiv created 1998/07/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

The theory of generalised measurements is used to examine the problem of discriminating unambiguously between non-orthogonal pure quantum states. Measurements of this type never give erroneous results, although, in general, there will be a non-zero probability of a result being inconclusive. It is shown that only linearly-independent states can be unambiguously discriminated. In addition to examining the general properties of such measurements, we discuss their application to entanglement concentration.

Citations

• Statistical decision theory for quantum systems

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