Enhancing Pseudo-Telepathy in the Magic Square Game

Abstract

We study the possibility of reversing an action of a quantum channel. Our principal objective is to find a specific channel that reverses as accurately as possible an action of a given quantum channel. To achieve this goal we use semidefinite programming. We show the benefits of our method using the quantum pseudo-telepathy Magic Square game with noise. Our strategy is to move the pseudo-telepathy region to higher noise values. We show that it is possible to reverse the action of a noise channel using semidefinite programming.

Decoherence effects in the quantum qubit flip game using Markovian approximation

“…The author implicitly assumes that the initial state of the game had passed through a bit-flip noisy channel before the game began. The corruption of quantum states in schemes implementing quantum games was studied by various authors, e.g., in [4], the authors study the general treatment of decoherence in two-player, two-strategy quantum games; in [5], the authors perform an analysis of the two-player prisoners' dilemma game; in [6], the multiplayer quantum minority game with decoherence is studied; in [7,8], the authors analyze the influence of the local noisy channels on quantum Magic Squares games, while the quantum Monty Hall problem under decoherence is studied first in [9] and subsequently in [10]. In [11], the authors study the influence of the interaction of qubits forming a spin chain on the qubit flip game.…”

Central limit theorem for reducible and irreducible open quantum walks

“…Open walks generalize this well-studied model and in particular allow one to incorporate decoherence which is an always present factor when considering quantum systems. The importance of managing decoherence has motivated the study of this problem B Łukasz Pawela lpawela@iitis.pl Przemysław Sadowski psadowski@iitis.pl in numerous fields, such as quantum control [22][23][24][25][26][27][28][29][30][31][32], quantum games [33][34][35][36][37] and quantum walks [38][39][40][41][42][43].…”

Quantum games on evolving random networks

“…Finally, there quantum pseudo-telepathy games. In these games, players utilizing quantum strategies and quantum entanglement, may seem to an outside observer as communicating telepathically [14][15][16].…”