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View article: Belavkin–Staszewski Quantum Markov Chains
Belavkin–Staszewski Quantum Markov Chains Open
It is well known that the conditional mutual information of a quantum state is zero if, and only if, the quantum state is a quantum Markov chain. Replacing the Umegaki relative entropy in the definition of the conditional mutual informatio…
View article: Partial trace relations beyond normal matrices
Partial trace relations beyond normal matrices Open
We investigate the relationship between partial traces and their dilations for general complex matrices, focusing on two main aspects: the existence of (joint) dilations and norm inequalities relating partial traces and their dilations. Th…
View article: New partial trace inequalities and distillability of Werner states
New partial trace inequalities and distillability of Werner states Open
One of the oldest problems in quantum information theory is to study if there exists a state with negative partial transpose which is undistillable [1]. This problem has been open for almost 30 years, and still no one has been able to give…
View article: New Partial Trace Inequalities and Distillability of Werner States
New Partial Trace Inequalities and Distillability of Werner States Open
One of the oldest problems in quantum information theory is to study if there exists a state with negative partial transpose which is undistillable. This problem has been open for almost 30 years, and still no one has been able to give a c…