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Entanglement Theory Quantum Correlations

Unextendible maximally entangled bases and mutually unbiased bases

arXiv
Authors: Bin Chen, Shao-Ming Fei

Year

2013

Paper ID

32735

Status

Preprint

Abstract Read

~2 min

Abstract Words

95

Citations

N/A

Abstract

We study unextendible maximally entangled basis in arbitrary bipartite spaces. A systematic way of constructing a set of d2 orthonormal maximally entangled states in mathbb{C}dbigotimesmathbb{C}d'\(frac{d'}{2}<d<d'\) is provided. The complementary space of the set of these d2 orthonormal maximally entangled states contains no maximally entangled states that are orthogonal to all of them. Furthermore, we investigate mutually unbiased bases in which all the bases are unextendible maximally entangled ones. We present two unextendible maximally entangled bases in mathbb{C}2bigotimesmathbb{C}3 which are mutually unbiased.

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  • This paper contributes to the Entanglement Theory & Quantum Correlations research area in the Quantum Articles archive.
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  • We study unextendible maximally entangled basis in arbitrary bipartite spaces.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1309.3356 [2] arXiv https://arxiv.org/abs/1309.3356 [3] Publisher https://arxiv.org/abs/1309.3356

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