Optimal conversion of nonlocal unitary operations

Dur, W., Vidal, G. and Cirac, J. I. (2002) Optimal conversion of nonlocal unitary operations. Physical Review Letters, 89 5: 057901-1-057901-4. doi:10.1103/PhysRevLett.89.057901

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Author Dur, W.
Vidal, G.
Cirac, J. I.
Title Optimal conversion of nonlocal unitary operations
Journal name Physical Review Letters   Check publisher's open access policy
ISSN 0031-9007
Publication date 2002-07
Sub-type Article (original research)
DOI 10.1103/PhysRevLett.89.057901
Open Access Status File (Publisher version)
Volume 89
Issue 5
Start page 057901-1
End page 057901-4
Total pages 4
Place of publication College Pk
Publisher The American Physical Society
Language eng
Abstract We study when a nonlocal unitary operation acting on two d-level systems can probabilistically simulate another one when arbitrary local operations and classical communication are allowed. We provide necessary and sufficient conditions for the simulation to be possible. Probabilistic interconvertability is used to define an equivalence relation between gates. We show that this relation induces a finite number of classes that we identify. In the case of two qubits, two classes of nonlocal operations exist. We show how the representatives of these classes, CNOT and SWAP, can be deterministically converted into any operation of its class and calculate the optimal probability of the reverse process.
Keyword Physics, Multidisciplinary
State Entanglement
Quantum Repeaters
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collections: Excellence in Research Australia (ERA) - Collection
School of Physical Sciences Publications
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Citation counts: TR Web of Science Citation Count  Cited 42 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 42 times in Scopus Article | Citations
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Created: Wed, 19 Sep 2007, 15:29:23 EST