Concurrence-based entanglement measures for isotropic states

Journal Article · Wed Jan 01 00:00:00 EST 2003 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.67.012307· OSTI ID:20634085

Rungta, Pranaw; Caves, Carlton M ^[1]

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1. Department of Physics and Astronomy, University of New Mexico, Albuquerque, New Mexico 87131-1156 (United States)

We discuss properties of entanglement measures called I-concurrence and tangle. For a bipartite pure state, I-concurrence and tangle are simply related to the purity of the marginal density operators. The I-concurrence (tangle) of a bipartite mixed state is the minimum average I-concurrence (tangle) of ensemble decompositions of pure states of the joint density operator. Terhal and Vollbrecht [Phys. Rev. Lett. 85, 2625 (2000)] have given an explicit formula for the entanglement of formation of isotropic states in arbitrary dimensions. We use their formalism to derive comparable expressions for the I-concurrence and tangle of isotropic states.

• OSTI ID: 20634085
• Journal Information: Physical Review. A, Vol. 67, Issue 1; Other Information: DOI: 10.1103/PhysRevA.67.012307; (c) 2003 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
CORRELATIONS
DENSITY
ENERGY LEVELS
MIXED STATE
QUANTUM MECHANICS
QUANTUM OPERATORS