Entanglement convertibility for infinite-dimensional pure bipartite states

Journal Article · Mon Nov 01 00:00:00 EST 2004 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.70.050301· OSTI ID:20646146

Owari, Masaki ^[1]; Matsumoto, Keiji ^[2]; Murao, Mio ^[3]

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1. Department of Physics, University of Tokyo, Tokyo 113-0033 (Japan)
2. Quantum Computation Group, National Institute of Information, Tokyo 101-8430 (Japan)
3. Department of Physics, The University of Tokyo, Tokyo 113-0033 (Japan)

It is shown that the order property of pure bipartite states under stochastic local operations and classical communications (SLOCC) changes radically when dimensionality shifts from finite to infinite. In contrast to finite-dimensional systems where there is no pure incomparable state, the existence of infinitely many mutually SLOCC incomparable states is shown for infinite-dimensional systems even under the bounded energy and finite information exchange condition. These results show that the effect of the infinite dimensionality of Hilbert space, the 'infinite workspace' property, remains even in physically relevant infinite-dimensional systems.

• OSTI ID: 20646146
• Journal Information: Physical Review. A, Vol. 70, Issue 5; Other Information: DOI: 10.1103/PhysRevA.70.050301; (c) 2004 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
DATA TRANSMISSION
ENERGY LEVELS
HILBERT SPACE
INFORMATION
INFORMATION THEORY
QUANTUM MECHANICS