Entanglement under restricted operations: Analogy to mixed-state entanglement

Bartlett, S. D., Doherty, A .C., Spekkens, R.W. and Wiseman, H. M. (2006) Entanglement under restricted operations: Analogy to mixed-state entanglement. Physical Review A, 73 2: 022311-1-022311-9. doi:10.1103/PhysRevA.73.022311

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Author Bartlett, S. D.
Doherty, A .C.
Spekkens, R.W.
Wiseman, H. M.
Title Entanglement under restricted operations: Analogy to mixed-state entanglement
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2947
Publication date 2006-01-01
Sub-type Article (original research)
DOI 10.1103/PhysRevA.73.022311
Open Access Status File (Publisher version)
Volume 73
Issue 2
Start page 022311-1
End page 022311-9
Total pages 9
Editor B Crasemann
Place of publication United States
Publisher American Physical Society
Language eng
Subject C1
240301 Atomic and Molecular Physics
780102 Physical sciences
Abstract We show that the classification of bipartite pure entangled states when local quantum operations are restricted yields a structure that is analogous in many respects to that of mixed-state entanglement. Specifically, we develop this analogy by restricting operations through local superselection rules, and show that such exotic phenomena as bound entanglement and activation arise using pure states in this setting. This analogy aids in resolving several conceptual puzzles in the study of entanglement under restricted operations. In particular, we demonstrate that several types of quantum optical states that possess confusing entanglement properties are analogous to bound entangled states. Also, the classification of pure-state entanglement under restricted operations can be much simpler than for mixed-state entanglement. For instance, in the case of local Abelian superselection rules all questions concerning distillability can be resolved.
Keyword Optics
Physics, Atomic, Molecular & Chemical
Quantum Error-correction
Bound Entanglement
Q-Index Code C1

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Created: Wed, 15 Aug 2007, 18:21:19 EST