# Mutually unbiased maximally entangled bases in $$\mathbb {C}^d\otimes \mathbb {C}^{kd}$$ C d ⊗ C k d

Mutually unbiased maximally entangled bases in $$\mathbb {C}^d\otimes \mathbb {C}^{kd}$$ C... We study maximally entangled bases in bipartite systems $$\mathbb {C}^d \otimes \mathbb {C}^{kd}\ (k\in Z^{+})$$ C d ⊗ C k d ( k ∈ Z + ) , which are mutually unbiased. By systematically constructing maximally entangled bases, we present an approach in constructing mutually unbiased maximally entangled bases. In particular, five maximally entangled bases in $$\mathbb {C}^2 \otimes \mathbb {C}^{4}$$ C 2 ⊗ C 4 and three maximally entangled bases in $$\mathbb {C}^2 \otimes \mathbb {C}^{6}$$ C 2 ⊗ C 6 that are mutually unbiased are presented. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

# Mutually unbiased maximally entangled bases in $$\mathbb {C}^d\otimes \mathbb {C}^{kd}$$ C d ⊗ C k d

Quantum Information Processing, Volume 14 (6) – Apr 11, 2015
10 pages

/lp/springer-journals/mutually-unbiased-maximally-entangled-bases-in-mathbb-c-d-otimes-bAgwYUuOOW
Publisher
Springer Journals
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-015-0980-6
Publisher site
See Article on Publisher Site

### Abstract

We study maximally entangled bases in bipartite systems $$\mathbb {C}^d \otimes \mathbb {C}^{kd}\ (k\in Z^{+})$$ C d ⊗ C k d ( k ∈ Z + ) , which are mutually unbiased. By systematically constructing maximally entangled bases, we present an approach in constructing mutually unbiased maximally entangled bases. In particular, five maximally entangled bases in $$\mathbb {C}^2 \otimes \mathbb {C}^{4}$$ C 2 ⊗ C 4 and three maximally entangled bases in $$\mathbb {C}^2 \otimes \mathbb {C}^{6}$$ C 2 ⊗ C 6 that are mutually unbiased are presented.

### Journal

Quantum Information ProcessingSpringer Journals

Published: Apr 11, 2015

### References

• Quantum entanglement
Horodecki, R; Horodecki, P; Horodecki, M; Horodecki, K
• Quantum information and computation
Bennett, CH; DiVincenzo, DP
• Mixed maximally entangled states
Li, ZG; Zhao, MJ; Fei, SM; Fan, H; Liu, WM

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