Strong quantum nonlocality: Unextendible biseparability beyond unextendible product basis

Abstract

An unextendible biseparable basis (UBB) is a set of orthogonal pure biseparable states which span a subspace of a given Hilbert space while the complementary subspace contains only genuinely entangled states. These biseparable bases are useful to produce genuinely entangled subspace in multipartite system. Such a subspace could be more beneficial for information theoretic applications if we are able to extract distillable entanglement across every bipartition from each state of this subspace. In this manuscript, we have derived a rule for constructing such a class of UBB which exhibits the phenomenon of strong quantum nonlocality. This result positively answers the open problem raised by Agrawal et al. [Phys. Rev. A 99, 032335 (2019)]; that there exists a UBB which can demonstrate the phenomenon of strong quantum nonlocality in the perspective of local irreducibility paradigm.

15 pages, 4 figures, latex2e, comments welcome

References in corpus (5)

• Multipartite Nonlocality without Entanglement in Many Dimensions
• Distinguishing Arbitrary Multipartite Basis Unambiguously Using Local Operations and Classical Communication
• Understanding entanglement as resource: locally distinguishing unextendible product bases
• Local distinguishability of orthogonal 2\otimes3 pure states
• Local Distinguishability of Orthogonal Quantum States and Generators of SU(N)

Cited by in corpus (6)

• Exploring strong locality : Quantum state discrimination regime and beyond
• Strongest quantum nonlocality in $N$-partite systems
• Classifying locally distinguishable sets: No activation across bipartitions
• Genuinely entangled subspaces beyond strongly nonlocal unextendible biseparable bases
• Entanglement of Assistance as a measure of multiparty entanglement
• Multipartite Monogamy of Entanglement for Three Qubit States