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Phys. Rev. A 64, 032302 (2001) [7 pages]

Nonlocal content of quantum operations

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Daniel Collins1,2, Noah Linden3, and Sandu Popescu1,2
1H. H. Wills Physics Laboratory, University of Bristol, Tyndall Avenue, Bristol BS8 1TL, United Kingdom
2BRIMS, Hewlett-Packard Laboratories, Stoke Gifford, Bristol BS12 6QZ, United Kingdom
3Department of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW, United Kingdom

Received 5 June 2000; revised 20 February 2001; published 7 August 2001

We show that quantum operations on multiparticle systems have a nonlocal content; this mirrors the nonlocal content of quantum states. We introduce a general framework for discussing the nonlocal content of quantum operations, and give a number of examples. Quantitative relations between quantum actions and the entanglement and classical communication resources needed to implement these actions are also described. We also show how entanglement can catalyze classical communication from a quantum action.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.64.032302
DOI:
10.1103/PhysRevA.64.032302
PACS:
03.67.-a