Causal and localizable quantum operations

Beckman, D, Gottesman, D, Nielsen, MA and Preskill, J (2001) Causal and localizable quantum operations. Physical Review A, 64 5: . doi:10.1103/PhysRevA.64.052309

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Author Beckman, D
Gottesman, D
Nielsen, MA
Preskill, J
Title Causal and localizable quantum operations
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2947
Publication date 2001-01-01
Sub-type Article (original research)
DOI 10.1103/PhysRevA.64.052309
Open Access Status File (Publisher version)
Volume 64
Issue 5
Total pages 21
Editor Bernd Craseman
Place of publication College Park Maryland USA
Publisher American Physical Society
Language eng
Subject C1
240201 Theoretical Physics
780102 Physical sciences
Abstract We examine constraints on quantum operations imposed by relativistic causality. A bipartite superoperator is said to be localizable if it can be implemented by two parties (Alice and Bob) who share entanglement but do not communicate, it is causal if the superoperator does not convey information from Alice to Bob or from Bob to Alice. We characterize the general structure of causal complete-measurement superoperators, and exhibit examples that are causal but not localizable. We construct another class of causal bipartite superoperators that are not localizable by invoking bounds on the strength of correlations among the parts of a quantum system. A bipartite superoperator is said to be semilocalizable if it can be implemented with one-way quantum communication from Alice to Bob, and it is semicausal if it conveys no information from Bob to Alice. We show that all semicausal complete-measurement superoperators are semi localizable, and we establish a general criterion for semicausality. In the multipartite case, we observe that a measurement superoperator that projects onto the eigenspaces of a stabilizer code is localizable.
Keyword Optics
Physics, Atomic, Molecular & Chemical
Q-Index Code C1
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Physical Sciences Publications
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Citation counts: TR Web of Science Citation Count  Cited 65 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 2 times in Scopus Article | Citations
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Created: Wed, 15 Aug 2007, 01:32:03 EST