Unextendible Maximally Entangled Bases in

Gui-Jun Zhang, Yuan-Hong Tao, Yi-Fan Han, Xin-Lei Yong, and Shao-Ming Fei

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Submission date: 09. Jan. 2019
Pages: 13
published in: Quantum information processing, 17 (2018) 11, art-no. 318 
DOI number (of the published article): 10.1007/s11128-018-2094-4
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Abstract:
The construction of unextendible maximally entangled bases is tightly related to quantum information processing like local state discrimination. We put forward two constructions of UMEBs in ℂ^pd ⊗ ℂ^qd (p ≤ q) based on the constructions of UMEBs in ℂ^d ⊗ ℂ^d and in ℂ^p ⊗ ℂ^q, which generalize the results in [Phys. Rev. A. 94, 052302 (2016)] by two approaches. Two different 48-member UMEBs in ℂ⁶ ⊗ ℂ⁹ have been constructed in detail.