title: 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.
authors.affiliation: Institute of Theoretical and Applied Informatics, Polish Academy of Sciences, Gliwice, Poland. lpawela@iitis.pl
authors.forename: Lukasz
authors.initials: L
authors.lastname: Pawela
authors.forename: Piotr
authors.initials: P
authors.lastname: Gawron
authors.forename: Zbigniew
authors.initials: Z
authors.lastname: Puchała
authors.forename: Jan
authors.initials: J
authors.lastname: Sładkowski
mesh_terms: D000465:Algorithms; D005716:Game Theory; D006801:Humans; D007254:Information Science; D011789:Quantum Theory; D059629:Signal-To-Noise Ratio; D013688:Telepathy