TL;DR
This paper investigates how quantum noise, specifically spontaneous emission and Pauli channels, affects the outcomes of the quantum Monty Hall game, revealing changes in game odds due to noise.
Contribution
It reformulates the quantum Monty Hall game using density matrices and analyzes the impact of quantum noise on game strategies and outcomes.
Findings
Quantum noise alters the probabilities in the game.
Optimal classical strategies are identified under noisy conditions.
Quantum noise can significantly change the game's odds.
Abstract
The influence of spontaneous emission channel and generalized Pauli channel on quantum Monty Hall Game is analysed. The scheme of Flittney and Abbott is reformulated using the formalism of density matrices. Optimal classical strategies for given quantum strategies are found. The whole presented scheme illustrates how quantum noise may change the odds of a zero-sum game.
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