Indistinguishability of pure orthogonal product states by LOCC

Indistinguishability of pure orthogonal product states by LOCC We construct two sets of incomplete and extendible quantum pure orthogonal product states (POPS) in general bipartite high-dimensional quantum systems, which are all indistinguishable by local operations and classical communication. The first set of POPS is composed of two parts which are $$\mathcal {C}^m\otimes \mathcal {C}^{n_1}$$ C m ⊗ C n 1 with $$5\le m\le n_1$$ 5 ≤ m ≤ n 1 and $$\mathcal {C}^m\otimes \mathcal {C}^{n_2}$$ C m ⊗ C n 2 with $$5\le m \le n_2$$ 5 ≤ m ≤ n 2 , where $$n_1$$ n 1 is odd and $$n_2$$ n 2 is even. The second one is in $$\mathcal {C}^m\otimes \mathcal {C}^n$$ C m ⊗ C n $$(m, n\ge 4)$$ ( m , n ≥ 4 ) . Some subsets of these two sets can be extended into complete sets that local indistinguishability can be decided by noncommutativity which quantifies the quantumness of a quantum ensemble. Our study shows quantum nonlocality without entanglement. Quantum Information Processing Springer Journals

Indistinguishability of pure orthogonal product states by LOCC

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Springer US
Copyright © 2017 by Springer Science+Business Media New York
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
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