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. https://resolver.caltech.edu/CaltechAUTHORS:20160607-103153917
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Abstract
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.
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| 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). | |||||||||
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| Issue or Number: | 16 | |||||||||
| Classification Code: | PACS numbers: 03.67.Mn | |||||||||
| DOI: | 10.1103/PhysRevLett.109.160502 | |||||||||
| Record Number: | CaltechAUTHORS:20160607-103153917 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20160607-103153917 | |||||||||
| 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 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | George Porter | |||||||||
| Deposited On: | 07 Jun 2016 18:04 | |||||||||
| Last Modified: | 11 Nov 2021 03:53 |
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