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Enhancing pseudo-telepathy in the magic square game.

Pawela L, Gawron P, Puchała Z, Sładkowski J - PLoS ONE (2013)

Bottom Line: Our principal objective is to find a specific channel that reverses as accurately as possible an action of a given quantum channel.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.

View Article: PubMed Central - PubMed

Affiliation: Institute of Theoretical and Applied Informatics, Polish Academy of Sciences, Gliwice, Poland. lpawela@iitis.pl

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.

Show MeSH
Phase flip channel.Probability of winning the pseudo-telepathy game with and without the use of our approach as a function of the noise parameter α for the phase flip channel. The inset shows the probability of winning for α∈ [0; 1].
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pone-0064694-g001: Phase flip channel.Probability of winning the pseudo-telepathy game with and without the use of our approach as a function of the noise parameter α for the phase flip channel. The inset shows the probability of winning for α∈ [0; 1].

Mentions: The numerical results are gathered in form of plots at the end of the paper. Figs. 1, 2, 3, 4, 5, 6 show the results of the optimization scheme shown in Fig, 7. The application of the SDP allowed us to achieve greater winning probability for all types of noisy channels.


Enhancing pseudo-telepathy in the magic square game.

Pawela L, Gawron P, Puchała Z, Sładkowski J - PLoS ONE (2013)

Phase flip channel.Probability of winning the pseudo-telepathy game with and without the use of our approach as a function of the noise parameter α for the phase flip channel. The inset shows the probability of winning for α∈ [0; 1].
© Copyright Policy
Related In: Results  -  Collection

Show All Figures
getmorefigures.php?uid=PMC3675112&req=5

pone-0064694-g001: Phase flip channel.Probability of winning the pseudo-telepathy game with and without the use of our approach as a function of the noise parameter α for the phase flip channel. The inset shows the probability of winning for α∈ [0; 1].
Mentions: The numerical results are gathered in form of plots at the end of the paper. Figs. 1, 2, 3, 4, 5, 6 show the results of the optimization scheme shown in Fig, 7. The application of the SDP allowed us to achieve greater winning probability for all types of noisy channels.

Bottom Line: Our principal objective is to find a specific channel that reverses as accurately as possible an action of a given quantum channel.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.

View Article: PubMed Central - PubMed

Affiliation: Institute of Theoretical and Applied Informatics, Polish Academy of Sciences, Gliwice, Poland. lpawela@iitis.pl

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.

Show MeSH