Construction of Mutually Unbiased Bases in ℂ^d ⊗ ℂ^2ld′

Jun Zhang, Yuan-Hong Tao, Hua Nan, and Shao-Ming Fei

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Submission date: 25. Aug. 2015
Pages: 12
published in: Quantum information processing, 14 (2015) 7, p. 2635-2644 
DOI number (of the published article): 10.1007/s11128-015-0961-9
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Abstract:
We study mutually unbiased bases in ℂ^d ⊗ ℂ^2ld′ . A systematic way of constructing mutually unbiased maximally entangled bases (MUMEBs) in ℂ^d ⊗ ℂ^2ld′ (l ∈ ℤ⁺) from MUMEBs in ℂ^d ⊗ ℂ^d′(d′ = kd,k ∈ ℤ⁺), and a general approach to construct mutually unbiased unextendible maximally entangled bases (MUUMEBs) in ℂ^d ⊗ ℂ^2ld′ (l ∈ ℤ⁺) from MUUMEBs in ℂ^d ⊗ ℂ^d′(d′ = kd + r,0 < r < d) have been presented. Detailed examples are given.