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  Optimal conversion of nonlocal unitary operations

Dür, W., Vidal, G., & Cirac, J. I. (2002). Optimal conversion of nonlocal unitary operations. Physical Review Letters, 89(5): 057901. 057901. Retrieved from http://link.aps.org/abstract/PRL/v89/e057901.

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 Creators:
Dür, W., Author
Vidal, G., Author
Cirac, J. Ignacio1, Author              
Affiliations:
1Theory, Max Planck Institute of Quantum Optics, Max Planck Society, ou_1445571              

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 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.

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Language(s): eng - English
 Dates: 2002-07-29
 Publication Status: Published in print
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 Table of Contents: -
 Rev. Type: Peer
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Title: Physical Review Letters
  Alternative Title : Phys. Rev. Lett.
Source Genre: Journal
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Pages: - Volume / Issue: 89 (5) Sequence Number: 057901 Start / End Page: - 057901 Identifier: ISSN: 0031-9007