Please use this identifier to cite or link to this item: http://buratest.brunel.ac.uk/handle/2438/13259
Title: Smallest disentangling state spaces for general entangled bipartite quantum states
Authors: Virmani, S
Anwar, H
Jevtic, S
Issue Date: 2015
Citation: http://arxiv.org/abs/1511.03196
Abstract: Entangled quantum states can be given a separable decomposition if we relax the restriction that the local operators be quantum states. Motivated by the construction of classical simulations and local hidden variable models, we construct `smallest' local sets of operators that achieve this. In other words, given an arbitrary bipartite quantum state we construct convex sets of local operators that allow for a separable decomposition, but that cannot be made smaller while continuing to do so. We then consider two further variants of the problem where the local state spaces are required to contain the local quantum states, and obtain solutions for a variety of cases including a region of pure states around the maximally entangled state. The methods involve calculating certain forms of cross norm. Two of the variants of the problem have a strong relationship to theorems on ensemble decompositions of positive operators, and our results thereby give those theorems an added interpretation. The results generalise those obtained in our previous work on this topic [New J. Phys. 17, 093047 (2015)].
URI: http://bura.brunel.ac.uk/handle/2438/13259
ISSN: http://arxiv.org/abs/1511.03196
http://arxiv.org/abs/1511.03196
Appears in Collections:Dept of Mathematics Research Papers

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