Experimental implementation of a three qubit quantum game with corrupt source using nuclear magnetic resonance...

Area of Science:

• Quantum Information Science
• Game Theory
• Quantum Computing

Background:

• The quantum 'Dilemma' game involves three players making independent decisions to maximize individual gain.
• Quantum strategies can yield higher payoffs than classical strategies in this game.
• Noise in initial quantum bits (qubits) can negate the quantum advantage.

Purpose of the Study:

• To experimentally implement and verify the theoretical payoff of a three-player quantum 'Dilemma' game.
• To investigate the impact of noisy qubits on the game's payoff.
• To compare experimental results with theoretical predictions.

Main Methods:

• Implementation of the three-player quantum 'Dilemma' game using a nuclear magnetic resonance (NMR) quantum information processor.
• Experimental testing across various levels of qubit noise or corruption.
• Comparison of experimental payoffs with theoretical models.

Main Results:

• The experimental implementation successfully replicated the quantum 'Dilemma' game.
• Observed payoffs closely matched theoretical predictions, even with corrupted qubits.
• The study confirmed the theoretical payoff structure under different noise conditions.

Conclusions:

• The experimental verification validates the theoretical framework for the three-player quantum 'Dilemma' game.
• The study highlights the sensitivity of quantum game advantages to qubit noise.
• Findings contribute to understanding quantum strategies and their practical limitations.