Maximal entanglement versus entropy for mixed quantum states

Journal Article · Sat Feb 01 04:00:00 EST 2003 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.67.022110· OSTI ID:20633676

Wei, T -C; Goldbart, Paul M; Kwiat, Paul G ^[1]; Nemoto, Kae ^[2]; Munro, William J ^[3]; Verstraete, Frank ^[4]

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1. Department of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801-3080 (United States)
2. Informatics, Bangor University, Bangor LL57 1UT (United Kingdom)
3. Hewlett-Packard Laboratories, Filton Road, Stoke Gifford, Bristol, BS34 SQ2 (United Kingdom)
4. Department of Mathematical Physics and Astronomy, Ghent University, Ghent (Belgium)

Maximally entangled mixed states are those states that, for a given mixedness, achieve the greatest possible entanglement. For two-qubit systems and for various combinations of entanglement and mixedness measures, the form of the corresponding maximally entangled mixed states is determined primarily analytically. As measures of entanglement, we consider entanglement of formation, relative entropy of entanglement, and negativity; as measures of mixedness, we consider linear and von Neumann entropies. We show that the forms of the maximally entangled mixed states can vary with the combination of (entanglement and mixedness) measures chosen. Moreover, for certain combinations, the forms of the maximally entangled mixed states can change discontinuously at a specific value of the entropy. Along the way, we determine the states that, for a given value of entropy, achieve maximal violation of Bell's inequality.

• OSTI ID: 20633676
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 2 Vol. 67; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
BELL THEOREM
CORRELATIONS
ENERGY LEVELS
ENTROPY
INFORMATION THEORY
MIXED STATE
QUANTUM MECHANICS