Rates of asymptotic entanglement transformations for bipartite mixed states: Maximally entangled states are not special

Journal Article · Sun Jun 01 04:00:00 EDT 2003 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.67.062314· OSTI ID:20636541

Horodecki, Michal; Sen, Aditi; Sen, Ujjwal ^[1]

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1. Institute of Theoretical Physics and Astrophysics, University of Gdansk, 80-952 Gdansk (Poland)

We investigate the asymptotic rates of entanglement transformations for bipartite mixed states by local operations and classical communication (LOCC). We analyze the relations between the rates for different transitions and obtain simple lower and upper bounds for these transitions. In a transition from one mixed state to another and back, the amount of irreversibility can be different for different target states. Thus in a natural way, we get the concept of 'amount' of irreversibility in asymptotic manipulations of entanglement. We investigate the behavior of these transformation rates for different target states. We show that with respect to asymptotic transition rates under LOCC, the maximally entangled states do not have a special status. In the process, we obtain that the entanglement of formation is additive for all maximally correlated states. This allows us to show irreversibility in asymptotic entanglement manipulations for maximally correlated states in 2x2. We also show that the possible nonequality of distillable entanglement under LOCC and that under operations preserving the positivity of partial transposition is related to the behavior of the transitions (under LOCC) to separable target states.

• OSTI ID: 20636541
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 6 Vol. 67; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
CORRELATIONS
DATA TRANSMISSION
ENERGY LEVELS
MIXED STATE
QUANTUM MECHANICS
TRANSFORMATIONS