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Quantifying entanglement with witness operators

Brandão, Fernando G. S. L. (2005) Quantifying entanglement with witness operators. Physical Review A, 72 (2). Art. No. 022310. ISSN 1050-2947. doi:10.1103/PhysRevA.72.022310.

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We present a unifying approach to the quantification of entanglement based on entanglement witnesses, which includes several already established entanglement measures such as the negativity, the concurrence, and the robustness of entanglement. We then introduce an infinite family of new entanglement quantifiers, having as its limits the best separable approximation measure and the generalized robustness. Gaussian states, states with symmetry, states constrained to super-selection rules, and states composed of indistinguishable particles are studied under the view of the witnessed entanglement. We derive new bounds to the fidelity of teleportation d_(min), for the distillable entanglement E_D and for the entanglement of formation. A particular measure, the PPT-generalized robustness, stands out due to its easy calculability and provides sharper bounds to d_(min) and E_D than the negativity in most of the states. We illustrate our approach studying thermodynamical properties of entanglement in the Heisenberg XXX and dimerized models.

Item Type:Article
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URLURL TypeDescription Paper
Brandão, Fernando G. S. L.0000-0003-3866-9378
Additional Information:© 2005 The American Physical Society. Received 17 March 2005; published 12 August 2005. The author would like to thank J. Eisert and D. Santos for helpful comments. Financial support from CNPQ is also acknowledged.
Funding AgencyGrant Number
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)UNSPECIFIED
Issue or Number:2
Classification Code:PACS: 03.67.Mn
Record Number:CaltechAUTHORS:20160526-081252302
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Official Citation:Quantifying entanglement with witness operators Fernando G. S. L. Brandão Phys. Rev. A 72, 022310
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:67375
Deposited By: Tony Diaz
Deposited On:26 May 2016 19:30
Last Modified:11 Nov 2021 00:31

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