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MiS Preprint
80/2013

Schmidt-correlated states, Weak Schmidt decomposition and generalized Bell-basis related to Hadamard matrices

Bobo Hua, Shao-Ming Fei, Jürgen Jost and Xianqing Li-Jost

Abstract

We study the weak Schmidt decomposition which allows the Schmidt coefficients to be complex-valued. For a mixed state that is an ensemble of pure states which can be simultaneously diagonalized in weak Schmidt decomposition, we obtain a criterion of separability of the state. Furthermore, we introduce generalized Bell bases and explore their connections to Hadamard matrices and the separability criterion.

Received:
Aug 14, 2013
Published:
Aug 16, 2013

Related publications

inJournal
2014 Repository Open Access
Bobo Hua, Shao-Ming Fei, Jürgen Jost and Xianqing Li-Jost

Schmidt-correlated states, weak Schmidt decomposition and generalized Bell bases related to Hadamard matrices

In: Reports on mathematical physics, 74 (2014) 1, pp. 89-103