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Quantum Information Processing
Erschienen in: Quantum Information Processing 2/2018

01.02.2018

Local distinguishability of generalized Bell states

verfasst von: Ying-Hui Yang, Cai-Hong Wang, Jiang-Tao Yuan, Xia Wu, Hui-Juan Zuo

Erschienen in: Quantum Information Processing | Ausgabe 2/2018

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Abstract

We investigate the distinguishability of orthogonal generalized Bell states (GBSs) in \(d\otimes d\) system by local operations and classical communication (LOCC), where d is a prime. We show that |S| is no more than \(d+1\) for any l GBSs, i.e., \(|S|\le d+1\), where S is maximal set which is composed of pairwise noncommuting pairs in \({\varDelta } U\). If \(|S|\le d\), then the l GBSs can be distinguished by LOCC according to our main Theorem. Compared with the results (Fan in Phys Rev Lett 92:177905, 2004; Tian et al. in Phys Rev A 92:042320, 2015), our result is more general. It can determine local distinguishability of \(l (> k)\) GBSs, where k is the number of GBSs in Fan’s and Tian’s results. Only for \(|S|=d+1\), we do not find the answer. We conjecture that any l GBSs cannot be distinguished by one-way LOCC if \(|S|=d+1\). If this conjecture is right, the problem about distinguishability of GBSs with one-way LOCC is completely solved in \(d\otimes d\).
Vorheriger Artikel Improving the capacity of quantum dense coding by weak measurement and reversal measurement
Nächster Artikel Noise effects on entanglement distribution by separable state

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Metadaten
Titel
Local distinguishability of generalized Bell states
verfasst von
Ying-Hui Yang
Cai-Hong Wang
Jiang-Tao Yuan
Xia Wu
Hui-Juan Zuo
Publikationsdatum
01.02.2018
Verlag
Springer US
Erschienen in
Quantum Information Processing / Ausgabe 2/2018
Print ISSN: 1570-0755
Elektronische ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-017-1797-2

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