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Approximate transformations and robust manipulation of bipartite pure-state entanglement

Vidal, Guifré and Jonathan, Daniel and Nielsen, M. A. (2000) Approximate transformations and robust manipulation of bipartite pure-state entanglement. Physical Review A, 62 (1). Art. No. 012304. ISSN 1050-2947. doi:10.1103/PhysRevA.62.012304.

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We analyze approximate transformations of pure entangled quantum states by local operations and classical communication, finding explicit conversion strategies which optimize the fidelity of transformation. These results allow us to determine the most faithful teleportation strategy via an initially shared partially entangled pure state. They also show that procedures for entanglement manipulation such as entanglement catalysis [Jonathan and Plenio, Phys. Rev. Lett. 83, 3566 (1999)] are robust against perturbation of the states involved, and motivate the notion of nonlocal fidelity, which quantifies the difference in the entangled properties of two quantum states.

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Additional Information:©2000 The American Physical Society Received 26 October 1999; published 12 June 2000 G.V. acknowledges CIRIT Grant No. 1997FI-00068 PG and financial support from CIRYT Contract No. AEN98-0431, and CIRIT Contract No. 1998SGR-00026. D.J. thanks the Brazilian agency Conselho Nacional de Desenvolvimento Cientı´fico e Tecnolo´gico (CNPq), the Leverhulme Trust, EPSRC, the ORS Award Scheme, and the European Union. M.A.N. was supported by DARPA through the Quantum Information and Computing Institute QUIC) administered (through the ARO. Part of this work was completed during the "Complexity, Computation and the Physics of Information" workshop of the Isaac Newton Institute and the ESF-QIT meeting in Cambridge. The authors thank the Institute and the European Science Foundation for support during this period.
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Deposited On:27 Feb 2006
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