32 citations · 165 across the 20 of their papers we have counts for
11 papers · 1 filter
Variable Planck's constant and scaling properties of states on Weyl algebra
Piotr Ługiewicz, Lech Jakóbczyk, Andrzej Frydryszak
We consider the possible quantum effect for infinite systems produced by variations of the Planck's constant. Using the algebraic formulation of quantum theory we study behaviour o…
Two-qubit trace-norm geometric discord: the complete solution
Piotr Lugiewicz, Andrzej Frydryszak, Lech Jakobczyk
We present the complete solution of the problem of determination of trace-norm geometric discord for arbitrary two-qubit state. Final answer is achieved due to effective reduction…
Probing the geometry of two-qubit state space by evolution
Andrzej M. Frydryszak, Maria Gieysztor, Andrij Kuzmak
We derive an explicit expressions for geometric description of state manifold obtained from evolution governed by a three parameter family of Hamiltonians covering most cases relat…
Quantifying geometric measure of entanglement by mean value of spin and spin correlations for pure and mixed states
A. M. Frydryszak, M. I. Samar, V. M. Tkachuk
We quantify the geometric measure of entanglement in terms of mean values of observables of entangled system. For pure states we find the relation of geometric measure of entanglem…
Determining quantum correlations in bipartite systems - from qubit to qutrit and beyond
Andrzej Frydryszak, Lech Jakóbczyk, Piotr Ługiewicz
We advocate the step change in properties of discrete -level quantum systems, between and . Qubit systems, or multipartite systems containing qubit subsystem, are…
Measurement - induced qudit geometric discord
Piotr Lugiewicz, Andrzej Frydryszak, Lech Jakobczyk
We study the measurement-induced geometric discord based on the trace norm and generalize some properties known for qutrits to qudits. Previous preliminary results for bipartite qu…
Qutrit geometric discord
Lech Jakobczyk, Andrzej Frydryszak, Piotr Lugiewicz
In the paper we study the notion of trace norm geometric discord in the system of two qutrits. We compute this quantity for some class of states including qutrit Bell states, Werne…
Geometric measure of entanglement for pure states and mean value of spin
Andrzej M. Frydryszak, Volodymyr M. Tkachuk
We derive an explicit expression for geometric measure of entanglement for spin and other quantum system. A relation of entanglement in pure state with the mean value of spin is gi…
Nilpotent quantum mechanics, qubits, and flavors of entanglement
Andrzej M. Frydryszak
We address the question of description of qubit system in a formalism based on the nilpotent commuting variables. In this formalism qubits exhibit properties of composite objects b…
Quantum brachistochrone problem for spin-1 in a magnetic field
A. M. Frydryszak, V. M. Tkachuk
We study quantum brachistochrone problem for the spin-1 system in a magnetic field of a constant absolute value. Such system gives us a possibility to examine in detail the stateme…
Lie Symmetry, discrete symmetry and supersymmetry of the Pauli Hamiltonian
Andrzej M. Frydryszak, Volodymyr M. Tkachuk
Starting from the full group of symmetries of a system we select a discrete subset of transformations which allows to introduce the Clifford algebra of operators generating new sup…