11 citations · 28 across the 9 of their papers we have counts for
9 papers
Groups, Platonic solids and Bell inequalities
Katarzyna Bolonek-Lasoń, Piotr Kosiński
The construction of Bell inequalities based on Platonic and Archimedean solids (Quantum 4 (2020), 293) is generalized to the case of orbits generated by the action of some finite g…
Note on Güney-Hillery approach to Bell inequalities
Katarzyna Bolonek-Lasoń, Piotr Kosiński
We analyze certain aspects of group theoretical approach to Bell inequalities proposed by Güney and Hillery. The general procedure for constructing the relevant group orbits is des…
Examining the effect of quantum strategies on symmetric conflicting interest games
Katarzyna Bolonek-Lasoń
The explicit construction is presented of two-player game satisfying: (i) symmetry with respect to the permutation of the players; (ii) the existence of upper bound on total payoff…
Violation of Bell inequality based on symmetry
Katarzyna Bolonek-Lasoń
In two recent papers (Phys. Rev. A90 (2014), 062121 and Phys. Rev. A91 (2015), 052110) an interesting method of analyzing the violation of Bell inequalities has been proposed which…
On Nash equilibria in Eisert-Lewenstein-Wilkens game
Katarzyna Bolonek-Lasoń, Piotr Kosiński
Landsburg method of classifying mixed Nash equilibria for maximally entangled Eisert-Lewenstein-Wilkens (ELW) game is analyzed with special emphasis on symmetries inherent to the p…
General quantum two-players games, their gate operators and Nash equilibria
Katarzyna Bolonek-Lasoń
The two-players strategies games quantized according to the Eisert-Lewenstein-Wilkens scheme (Phys. Rev. Lett. 83 (1999), 3077) are considered. Group theoretical methods are ap…
Gate operators for N-strategies quantum game
Katarzyna Bolonek-Lasoń
The quantization of 2-players N-strategies games is considered. The general form of gate operator is determined under the assumption that the classical pure strategies are containe…
Entanglers in 3-strategies ELW games
Katarzyna Bolonek-Lasoń
We construct the general gate operator for 2-players 3-strategies ELW games. It is shown that such a gate, implementing classical strategies, can be constructed out of the elements…
Quantum two-players games, Entanglement and Nash equilibria
Katarzyna Bolonek-Lasoń
The two-players N strategies games quantized according to the Eisert-Lewenstein-Wilkens scheme [1] are considered. It is shown that in the case of maximal entanglement no nontrivia…