Reduction theorems for optimal unambiguous state discrimination of density matrices

Journal Article · Fri Aug 01 04:00:00 EDT 2003 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.68.022308· OSTI ID:20640024

Raynal, Philippe; Luetkenhaus, Norbert; Enk, Steven J. van ^[1]

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1. Quantum Information Theory Group, ZEMO, University Erlangen-Nuernberg, Staudtstrasse 7/B2, D-91058 Erlangen (Germany) and Bell Labs, Lucent Technologies, 600-700 Mountain Avenue, Murray Hill, New Jersey 07974 (United States)

We present reduction theorems for the problem of optimal unambiguous state discrimination of two general density matrices. We show that this problem can be reduced to that of two density matrices that have the same rank n and are described in a Hilbert space of dimensions 2n. We also show how to use the reduction theorems to discriminate unambiguously between N mixed states (N{>=}2)

• OSTI ID: 20640024
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 2 Vol. 68; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ALGEBRA
DATA TRANSMISSION
DENSITY MATRIX
ENERGY LEVELS
HILBERT SPACE
MIXED STATE
QUANTUM MECHANICS