Characterizing entanglement with global and marginal entropic measures

Journal Article · Mon Dec 01 04:00:00 EST 2003 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.68.062318· OSTI ID:20640469

Adesso, Gerardo; Illuminati, Fabrizio; De Siena, Silvio ^[1]

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1. Dipartimento di Fisica 'E. R. Caianiello', Universita di Salerno, INFM UdR di Salerno, INFN Sezione di Napoli, Gruppo Collegato di Salerno, 84081 Baronissi, SA (Italy)

We qualify the entanglement of arbitrary mixed states of bipartite quantum systems by comparing global and marginal mixednesses quantified by different entropic measures. For systems of two qubits we discriminate the class of maximally entangled states with fixed marginal mixednesses, and determine an analytical upper bound relating the entanglement of formation to the marginal linear entropies. This result partially generalizes to mixed states the quantification of entanglement with marginal mixednesses holding for pure states. We identify a class of entangled states that, for fixed marginals, are globally more mixed than product states when measured by the linear entropy. Such states cannot be discriminated by the majorization criterion.

• OSTI ID: 20640469
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 6 Vol. 68; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
CORRELATIONS
EIGENFUNCTIONS
EIGENVALUES
ENERGY LEVELS
ENTROPY
HILBERT SPACE
INFORMATION THEORY
MIXED STATE
QUANTUM MECHANICS