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Entanglement Theory Quantum Correlations
Mutually unbiased maximally entangled bases in mathbb{C}dotimesmathbb{C}d
arXiv
Authors: Junying Liu, Minghui Yang, Keqin Feng
Year
2016
Paper ID
43669
Status
Preprint
Abstract Read
~2 min
Abstract Words
120
Citations
N/A
Abstract
We study mutually unbiased maximally entangled bases (MUMEB's) in bipartite system mathbb{C}dotimesmathbb{C}d \(d geq 3\). We generalize the method to construct MUMEB's given in [16], by using any commutative ring R with d elements and generic character of (R,+) instead of mathbb{Z}d=mathbb{Z}/dmathbb{Z}. Particularly, if d=p1a1p2a2ldots psas where p1, ldots, ps are distinct primes and 3leq p1a1leqcdotsleq psas, we present p1a1-1 MUMEB's in mathbb{C}dotimesmathbb{C}d by taking R=mathbb{F}_{p1a1}opluscdotsoplusmathbb{F}_{psas}, direct sum of finite fields (Theorem 3.3).
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- This paper contributes to the Entanglement Theory & Quantum Correlations research area in the Quantum Articles archive.
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- We study mutually unbiased maximally entangled bases (MUMEB's) in bipartite system mathbbC^dotimesmathbbC^d (d geq 3).
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