Constructing unextendible product bases from the old ones
arXiv:1703.06542
Abstract
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.
arXiv comment6 pages, 1 figures
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- Strong Quantum Nonlocality without Entanglement
- Several nonlocal sets of multipartite pure orthogonal product states
- Genuinely Nonlocal Product Bases: Classification and Entanglement Assisted Discrimination
- Activating Strongest Possible Nonlocality from Local Sets: An Elimination Paradigm
- Negative result about the construction of genuinely entangled subspaces from unextendible product bases