

Preprint 8/2014
Unextendible maximally entangled bases and mutually unbiased bases
Bin Chen and Shao-Ming Fei
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Submission date: 29. Jan. 2014
published in: Physical review / A, 88 (2013) 3, art-no. 034301
DOI number (of the published article): 10.1103/PhysRevA.88.034301
Bibtex
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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
ℂd ⊗ ℂd′( < 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
ℂ2 ⊗ ℂ3 which are mutually
unbiased.