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Detection of Multiparticle Entanglement: Quantifying the Search for Symmetric Extensions

Brandão, Fernando G. S. L. and Christandl, Matthias (2012) Detection of Multiparticle Entanglement: Quantifying the Search for Symmetric Extensions. Physical Review Letters, 109 (16). Art. No. 160502. ISSN 0031-9007. doi:10.1103/PhysRevLett.109.160502.

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We provide quantitative bounds on the characterization of multiparticle separable states by states that have locally symmetric extensions. The bounds are derived from two-particle bounds and relate to recent studies on quantum versions of de Finetti’s theorem. We discuss algorithmic applications of our results, in particular a quasipolynomial-time algorithm to decide whether a multiparticle quantum state is separable or entangled (for constant number of particles and constant error in the norm induced by one-way local operations and classical communication, or in the Frobenius norm). Our results provide a theoretical justification for the use of the search for symmetric extensions as a test for multiparticle entanglement.

Item Type:Article
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Brandão, Fernando G. S. L.0000-0003-3866-9378
Additional Information:© 2012 American Physical Society. (Received 30 May 2011; revised manuscript received 5 June 2012; published 17 October 2012) F. B. is supported by a “Conhecimento Novo” fellowship from FAPEMIG. M. C. is supported by the Swiss National Science Foundation (Grant No. PP00P2-128455) and the German Science Foundation (Grant No. CH 843/2-1).
Funding AgencyGrant Number
Fundação de Amparo à Pesquisa do Estado de Minas Gerais (FAPEMIG)UNSPECIFIED
Swiss National Science Foundation (SNSF)PP00P2-128455
Deutsche Forschungsgemeinschaft (DFG)CH 843/2-1
Issue or Number:16
Classification Code:PACS numbers: 03.67.Mn
Record Number:CaltechAUTHORS:20160607-103153917
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Official Citation:Detection of Multiparticle Entanglement: Quantifying the Search for Symmetric Extensions Fernando G. S. L. Brandão and Matthias Christandl Phys. Rev. Lett. 109, 160502
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:67720
Deposited By: George Porter
Deposited On:07 Jun 2016 18:04
Last Modified:11 Nov 2021 03:53

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