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Regularly Decomposable Tensors and Classical Spin States
Liqun Qi, Guofeng Zhang, Daniel Braun +2
A spin- state can be represented by a symmetric tensor of order and dimension . Here, can be a positive integer, which corresponds to a boson; can also be a po…
Tensor eigenvalues and entanglement of symmetric states
Fabian Bohnet-Waldraff, Daniel Braun, Olivier Giraud
Tensor eigenvalues and eigenvectors have been introduced in the recent mathematical literature as a generalization of the usual matrix eigenvalues and eigenvectors. We apply this f…
Partial transpose criteria for symmetric states
Fabian Bohnet-Waldraff, Daniel Braun, Olivier Giraud
We express the positive partial transpose (PPT) separability criterion for symmetric states of multi-qubit systems in terms of matrix inequalities based on the recently introduced…
Average diagonal entropy in non-equilibrium isolated quantum systems
Olivier Giraud, Ignacio García-Mata
The diagonal entropy was introduced as a good entropy candidate especially for isolated quantum systems out of equilibrium. Here we present an analytical calculation of the average…