Unextendible maximally entangled bases and mutually unbiased bases

Unextendible maximally entangled bases and mutually unbiased bases We study an unextendible maximally entangled basis in arbitrary bipartite spaces. A systematic way of constructing a set of d 2 orthonormal maximally entangled states in C d ⨂ C d ′ ( d ′ 2 < d < d ′ ) is provided. The complementary space of the set of these d 2 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 C 2 ⨂ C 3 which are mutually unbiased. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review A American Physical Society (APS)

Unextendible maximally entangled bases and mutually unbiased bases

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Abstract

We study an unextendible maximally entangled basis in arbitrary bipartite spaces. A systematic way of constructing a set of d 2 orthonormal maximally entangled states in C d ⨂ C d ′ ( d ′ 2 < d < d ′ ) is provided. The complementary space of the set of these d 2 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 C 2 ⨂ C 3 which are mutually unbiased.

Journal

Physical Review AAmerican Physical Society (APS)

Published: Sep 4, 2013

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