Checking the optimality of entanglement witnesses: an application to structural physical approximations

Cited 3 time in webofscience Cited 0 time in scopus
  • Hit : 57
  • Download : 0
In 2008, the conjecture that structural physical approximations (SPAs) to optimal entanglement witnesses are separable states (in general unnormalized) was posed. In an attempt to disprove it, Ha and Kye (2012 arXiv: 1210.1088v3) proposed a decomposable entanglement witness, whose SPA is entangled, and argued that it is optimal. In this paper, which is based on a comment to the latter work (Augusiak et al 2013 arXiv: 1304.2040v1), we show, both analytically and numerically, that this entanglement witness is not optimal, and as such it is not a counterexample to the conjecture. To this end, we make use of a method for checking the optimality of entanglement witnesses developed already in Lewenstein et al (2000 Phys. Rev. A 62 052310), however, hardly exploited so far in the literature.
Publisher
IOP PUBLISHING LTD
Issue Date
2014-02
Language
English
Article Type
Article
Keywords

POSITIVE LINEAR-MAPS; STATES; SEPARABILITY

Citation

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, v.47, no.6

ISSN
1751-8113
DOI
10.1088/1751-8113/47/6/065301
URI
http://hdl.handle.net/10203/244361
Appears in Collection
EE-Journal Papers(저널논문)
Files in This Item
There are no files associated with this item.
This item is cited by other documents in WoS
⊙ Detail Information in WoSⓡ Click to see webofscience_button
⊙ Cited 3 items in WoS Click to see citing articles in records_button

qr_code

  • mendeley

    citeulike


rss_1.0 rss_2.0 atom_1.0