Artículos de revistas
Adiabatic quantum games and phase-transition-like behavior between optimal strategies
Fecha
2018-06-01Registro en:
Quantum Information Processing, v. 17, n. 6, 2018.
1570-0755
10.1007/s11128-018-1918-6
2-s2.0-85046808015
2-s2.0-85046808015.pdf
Autor
Universidade Estadual Paulista (Unesp)
Universidade Federal Fluminense (UFF)
Institución
Resumen
In this paper we propose a game of a single qubit whose strategies can be implemented adiabatically. In addition, we show how to implement the strategies of a quantum game through controlled adiabatic evolutions, where we analyze the payment of a quantum player for various situations of interest: (1) when the players receive distinct payments, (2) when the initial state is an arbitrary superposition, and (3) when the device that implements the strategy is inefficient. Through a graphical analysis, it is possible to notice that the curves that represent the gains of the players present a behavior similar to the curves that give rise to a phase transition in thermodynamics. These transitions are associated with optimal strategy changes and occur in the absence of entanglement and interaction between the players.