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Unextendible maximally entangled bases in dxd
arXiv
Authors: Yan-Ling Wang, Mao-Sheng Li, Shao-Ming Fei
Year
2014
Paper ID
47472
Status
Preprint
Abstract Read
~2 min
Abstract Words
102
Citations
N/A
Abstract
We investigate the unextendible maximally entangled bases in mathbb{C}dbigotimesmathbb{C}d and present a 30-number UMEB construction in mathbb{C}6bigotimesmathbb{C}6. For higher dimensional case, we show that for a given N-number UMEB in mathbb{C}dbigotimesmathbb{C}d, there is a widetilde{N}-number, widetilde{N}=(qd)2-\(d2-N\), UMEB in mathbb{C}qdbigotimesmathbb{C}qd for any qinmathbb{N}. As an example, for mathbb{C}12nbigotimesmathbb{C}12n systems, we show that there are at least two sets of UMEBs which are not equivalent.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- We investigate the unextendible maximally entangled bases in mathbbC^dbigotimesmathbbC^d and present a 30-number UMEB construction in mathbbC^6bigotimesmathbbC^6.
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