52 citations · 101 across the 13 of their papers we have counts for
14 papers
Husimi coordinates of multipartite separable states
Georges Parfionov, Roman R. Zapatrin
A parametrization of multipartite separable states in a finite-dimensional Hilbert space is suggested. It is proved to be a diffeomorphism between the set of zero-trace operators a…
Memento Ludi: Information Retrieval from a Game-Theoretic Perspective
George Parfionov, Romàn Zapatrin
We develop a macro-model of information retrieval process using Game Theory as a mathematical theory of conflicts. We represent the participants of the Information Retrieval proces…
Guessing Quantum Ensemble Using Laplace Principle
Georges Parfionov, Romàn R. Zapatrin
For a mixed quantum state with density matrix there are infinitely many ensembles of pure quantum states, which average to . Starting from Laplace principle of insufficient…
A Linear Programming Method for Finding Orthocomplements in Finite Lattices
George Parfionov, Roman Zapatrin
A method of embedding partially ordered sets into linear spaces is presented. The problem of finding all orthocomplementations in a finite lattice is reduced to a linear programmin…
How `hot' are mixed quantum states?
George Parfionov, Roman R. Zapatrin
Given a mixed quantum state of a qudit, we consider any observable as a kind of `thermometer' in the following sense. Given a source which emits pure states with these or t…
`Lazy' quantum ensembles
George Parfionov, Roman Zapatrin
We compare different strategies aimed to prepare an ensemble with a given density matrix . Preparing the ensemble of eigenstates of with appropriate probabilities can be tre…