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arxiv: 1703.06542 · v1 · submitted 2017-03-19 · 🪐 quant-ph · math-ph· math.MP

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Constructing unextendible product bases from the old ones

Yan-Ling Wang , Mao-Sheng Li , Shao-Ming Fei , Zhu-Jun Zheng
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classification 🪐 quant-ph math-phmath.MP
keywords upbsconstructquantumsystemdifferentmethodproductunextendible
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We studied the construction problem of the unextendible product basis (UPB). We mainly give a method to construct a UPB of a quantum system through the UPBs of its subsystem. Using this method and the UPBs which are known for us, we construct different kinds of UPBs in general bipartite quantum system. Then we use these UPBs to construct a family of UPBs in multipartite quantum system. The UPBs can be used to construct the bound entangled states with different ranks.

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Cited by 1 Pith paper

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  1. Local state antimarking : Nonlocality without entanglement

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    Certain sequences of product states allow global but not local identification of excluded sequences via the new LSAM task, showing nonlocality without entanglement.