Many approaches to optimizing quantum resources for efficient quantum computation and quantum communication such as gate-model, quantum channel capacity, optimizing quantum memory, and algorithms have been studied 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12. Quantum mechanical resources can enable some tasks such as superdense coding and teleporting an unknown state 1 which are impossible to realize with classical resources.
We believe our work contributes to not only quantum game theory, but also quantum computing with quantum dots.
That is, if the referee has information on the physical realization and strategy of the players, he can bias the game through filtered randomness, and increase his winning probability. Next, we show that our work gives rise to a new version of the game. Considering various physical imperfections of our setup, we first show that the MSG can be implemented with the current technology, outperforming the classical resources under realistic conditions. Here, we propose a timely and unprecedented experimental setup for quantum computation with quantum dots inside optical cavities, along with ancillary photons for realizing interactions between distant dots to implement the MSG. Due to noise, however, the unit winning probability of the players can drop well below the classical limit. In this vein, an interesting example of quantum pseudo-telepathy games that quantum mechanical resources can theoretically outperform classical resources is the Magic Square game (MSG), in which two players play against a referee. The emergence of quantum technologies is heating up the debate on quantum supremacy, usually focusing on the feasibility of looking good on paper algorithms in realistic settings, due to the vulnerability of quantum systems to myriad sources of noise.
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