Journal
PHYSICAL REVIEW A
Volume 86, Issue 3, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.86.034301
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Funding
- National Research Foundation of Korea (NRF)
- Ministry of Education, Science and Technology [NRFK 2011-0006561, NRFK 2012-0000939]
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We examine various notions related to the optimality for entanglement witnesses arising from Choi-type positive linear maps. We found examples of optimal entanglement witnesses which are nondecomposable but are not nondecomposable optimal entanglement witnesses in the sense of Lewenstein, Kraus, Cirac, and Horodecki [Phys. Rev. A 62, 052310 (2000)]. We suggest using the terms PPTES witness and optimal PPTES witness in place of nondecomposable entanglement witness and nondecomposable optimal entanglement witnesses in order to avoid possible confusion. Here, PPTES refers entangled states with positive partial transposes. We also found examples of nonextremal optimal entanglement witnesses which are indecomposable.
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