Effect of Bound Entanglement on the Convertibility of Pure States

Journal Article · Mon Nov 15 04:00:00 EST 2004 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.1834430· OSTI ID:20630315

Ishizaka, Satoshi ^[1]

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1. PRESTO, Japan Science and Technology Agency, 4-1-8 Honcho Kawaguchi, Saitama (Japan)

I show that bound entanglement strongly influences the quantum entanglement processing of pure states: If N distant parties share appropriate bound entangled states with positive partial transpose, all N-partite pure entangled states become inter-convertible by stochastic local operations and classical communication (SLOCC) at the single copy level. This implies that the Schmidt rank of a bipartite pure entangled state can be increased, and that two incomparable tripartite entanglement of the GHZ and W type can be inter-converted by the assistance of bound entanglement. Further, I propose the simplest experimental scheme for the demonstration of the corresponding bound-entanglement-assisted SLOCC. This scheme does not need quantum gates and is feasible for the current experimental technology of linear optics.

• OSTI ID: 20630315
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 734; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
BOUND STATE
CORRELATIONS
DATA PROCESSING
DATA TRANSMISSION
ENERGY LEVELS
GHZ RANGE
INFORMATION THEORY
OPTICS
QUANTUM MECHANICS
STOCHASTIC PROCESSES