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Quantum Information Processing

Mutually unbiased special entangled bases with Schmidt number 2 in

  • 01-03-2018
Published in:
Authors
Yi-Fan Han
Gui-Jun Zhang
Xin-Lei Yong
Ling-Shan Xu
Yuan-Hong Tao
Published in
Quantum Information Processing | Issue 3/2018

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Abstract

A way of constructing special entangled basis with fixed Schmidt number 2 (SEB2) in \({\mathbb {C}}^3 \otimes {\mathbb {C}}^{4k}(k\in z^+,3\not \mid k)\) is proposed, and the conditions mutually unbiased SEB2s (MUSEB2s) satisfy are discussed. In addition, a very easy way of constructing MUSEB2s in \({\mathbb {C}}^3 \otimes {\mathbb {C}}^{4k}(k=2^l)\) is presented. We first establish the concrete construction of SEB2 and MUSEB2s in \({\mathbb {C}}^3 \otimes {\mathbb {C}}^{4}\) and \({\mathbb {C}}^3 \otimes {\mathbb {C}}^{8}\), respectively, and then generalize them into \({\mathbb {C}}^3 \otimes {\mathbb {C}}^{4k}(k\in z^+,3\not \mid k)\) and display the condition that MUSEB2s satisfy; we also give general form of two MUSEB2s as examples in \({\mathbb {C}}^3 \otimes {\mathbb {C}}^{4k}(k=2^l)\).

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Title
Mutually unbiased special entangled bases with Schmidt number 2 in
Authors
Yi-Fan Han
Gui-Jun Zhang
Xin-Lei Yong
Ling-Shan Xu
Yuan-Hong Tao
Publication date
01-03-2018
Publisher
Springer US
Published in
Quantum Information Processing / Issue 3/2018
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-018-1824-y
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