Enhancing pseudo-telepathy in the Magic Square game
{\L}ukasz Pawela, Piotr Gawron, Zbigniew Pucha{\l}a, Jan S{\l}adkowski
TL;DR
This paper explores reversing quantum channels to improve pseudo-telepathy in the Magic Square game under noisy conditions, using semidefinite programming to enhance quantum communication robustness.
Contribution
It introduces a method to reverse quantum channels with semidefinite programming, extending pseudo-telepathy regions to higher noise levels in the Magic Square game.
Findings
Reversing quantum channels is feasible with semidefinite programming.
Pseudo-telepathy regions can be extended to higher noise levels.
The method improves quantum game performance under noise.
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.
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