7 citations · 24 across the 5 of their papers we have counts for
12 papers
An asymptotical separability criterion for bipartite density operators
Roman R. Zapatrin
For a given density matrix of a bipartite quantum system an asymptotical separability criterion is suggested. Using the continuous ensemble method, a sequence of separable dens…
Continuous optimal ensembles II. Reducing the separability condition to numerical equations
Roman R. Zapatrin
A density operator of a bipartite quantum system is called robustly separable if it has a neighborhood of separable operators. Given a bipartite density matrix, its property to be…
Continuous optimal ensembles I: A geometrical characterization of robustly separable quantum states
Roman R. Zapatrin
A geometrical characterization of robustly separable (that is, remaining separable under sufficiently small variiations) mixed states of a bipartite quantum system is given. It is…
A note on continuous ensemble expansions of quantum states
Roman R. Zapatrin
Generalizing the notion of relative entropy, the difference between a priori and a posteriori relative entropy for quantum systems is drawn. The former, known as quantum relative e…
A Combinatory-Algebraic Perspective on Multipartiteness, Entanglement and Quantum Localization
Ioannis Raptis, Roman Zapatrin
We claim that both multipartiteness and localization of subsystems of compound quantum systems are of an essentially relative nature crucially depending on the set of operationalis…
A note on Borromean correlations in multipartite quantum systems
Roman R. Zapatrin
If a pure state of a multipartite quantum system is Borromean, that is, its density matrix becomes product after tracing out any its component then the initial state is product its…