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Non-Gaussian states with strong positive partial transpose

Abdessamad Belfakir, Mustapha Ziane, M. El Baz +1 more

The European Physical Journal DOct 1, 20191 citation

Extreme points of sets of absolutely separable and positive partial transpose states

Zhiwei Song, L. B. Chen

Physical Review AJul 22, 20252 citations

Full separability criterion for tripartite quantum systems

Chi‐Shan Yu, H. S. Song

arXiv:quant-ph/0611292The European Physical Journal DDec 12, 20064 citations

Separability of multipartite quantum states with strong positive partial transpose

Lilong Qian

We generalize the definition of strong positive partial transpose (SPPT) to the multipartite system. The tripartite case was first considered by Yu and Zhao [Int. J. Theor. Phys. 54, 292 (2014)]. In this extension, unfortunately, desired properties such as the PPT of SPPT states and the separability of super and pure SPPT states are not preserved. In contrast, this paper provides an alternative generalization to multipartite cases with these properties preserved. We also provide sufficient conditions for the separability of SPPT states.We generalize the definition of strong positive partial transpose (SPPT) to the multipartite system. The tripartite case was first considered by Yu and Zhao [Int. J. Theor. Phys. 54, 292 (2014)]. In this extension, unfortunately, desired properties such as the PPT of SPPT states and the separability of super and pure SPPT states are not preserved. In contrast, this paper provides an alternative generalization to multipartite cases with these properties preserved. We also provide sufficient conditions for the separability of SPPT states.

arXiv:1804.10923Physical Review AJul 9, 20189 citations

The generalized partial transposition criterion for separability of multipartite quantum states

Kai Chen, Ling-An Wu

arXiv:quant-ph/0208058Physics Letters ADec 1, 2002104 citations

Quantum states with strong positive partial transpose

Dariusz Chruściński, Jacek Jurkowski, Andrzej Kossakowski

We construct a large class of bipartite $M\ensuremath{\bigotimes}N$ quantum states which defines a proper subset of states with positive partial transposes (PPTs). Any state from this class has PPT but the positivity of its partial transposition is recognized with respect to canonical factorization of the original density operator. We propose to call elements from this class states with strong positive partial transposes (SPPTs). We conjecture that all SPPT states are separable.

arXiv:0710.1934Physical Review AFeb 25, 200832 citations

Separability of Tripartite Quantum States with Strong Positive Partial Transposes

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