Surpassing the classical limit in magic square game with distant quantum dots coupled to optical cavities

Area of Science:

• Quantum Information Science
• Quantum Computing
• Quantum Game Theory

Background:

• Quantum technologies face challenges in realistic settings due to noise affecting quantum system performance.
• The Magic Square Game (MSG) is a quantum pseudo-telepathy game where quantum resources can theoretically outperform classical ones.
• Noise can significantly reduce the winning probability in quantum games below classical limits.

Purpose of the Study:

• To propose and experimentally validate a quantum computing setup for implementing the Magic Square Game (MSG).
• To investigate the performance of the MSG under realistic physical imperfections and noise.
• To introduce a novel variant of the MSG influenced by referee knowledge of player strategies.

Main Methods:

• Experimental setup utilizing quantum dots within optical cavities.
• Employing ancillary photons for mediating interactions between distant quantum dots.
• Simulating and analyzing the MSG implementation considering physical imperfections and noise.

Main Results:

• The proposed setup successfully implements the MSG with current technology.
• The quantum implementation demonstrates superior performance compared to classical resources under realistic noisy conditions.
• A new version of the MSG is introduced where referee knowledge can bias the game outcomes.

Conclusions:

• The work validates the feasibility of implementing quantum games with quantum dots under realistic conditions.
• The findings contribute to advancements in quantum game theory and quantum computing with quantum dots.
• The proposed experimental setup offers a platform for exploring quantum advantages in game theory and computation.