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MiS Preprint

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


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.

Aug 14, 2013
Aug 16, 2013

Related publications

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