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- University of GdańskPL161 papers
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- Los Alamos National LaboratoryUS25 papers
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13 papers · 2 filters
Zero knowledge convincing protocol on quantum bit is impossible
Pawel Horodecki, Michal Horodecki, Ryszard Horodecki
Consider two parties: Alice and Bob and suppose that Bob is given a qubit system in a quantum state , unknown to him. Alice knows and she is supposed to convince Bob that sh…
Dynamics of quantum entanglement
Karol Zyczkowski, Pawel Horodecki, Michal Horodecki +1
A model of discrete dynamics of entanglement of bipartite quantum state is considered. It involves a global unitary dynamics of the system and periodic actions of local bistochasti…
Relativistic J-matrix method
Pawel Horodecki
The relativistic version of the J-matrix method for a scattering problem on the potential vanishing faster than the Coulomb one is formulated. As in the non-relativistic case it le…
Separability of n-particle mixed states: necessary and sufficient conditions in terms of linear maps
Michal Horodecki, Pawel Horodecki, Ryszard Horodecki
We provide necessary and sufficient conditions for separability of mixed states of n-particle systems. The conditions are formulated in terms of maps which are positive on product…
Characterization of separable states and entanglement witnesses
M. Lewenstein, B. Kraus, P. Horodecki +1
We provide a canonical form of mixed states in bipartite quantum systems in terms of a convex combination of a separable state and a, so-called, edge state. We construct entangleme…
Darboux-integration of idρ/dt=[H,f(ρ)]
N. V. Ustinov, S. B. Leble, M. Czachor +1
A Darboux-type method of solving the nonlinear von Neumann equation , with functions commuting with , is developed. The technique is based on a represen…