5/28/2023 0 Comments Quantum entangler compact machinesIn this work, addressing this problem, we propose a few nanometer-sized silicon single quantum dots (SQDs) 36– 38 with bandgap small enough to allow spin-photon interaction based setup within the reach of current technology. Hence, although quantum advantage is imminent in theory, it is of great interest to design a physical system to bring this advantage to life and investigate the conditions for surpassing the classically achievable limit. This work was followed by others in various settings 31– 35. Gawron et al.’s work on the noise effects in the MSG 30 clearly showed that if qubits hold by Alice and Bob are subject to noise, that their four-qubit state is not the pure state in Eq. ( 1) but rather a mixed state, the average winning probability decreases and with increasing noise, the probability can drop well below the classical limit 8/9. However, quantum systems are very fragile that any source of imperfections during the process might affect the performance of the task, and the MSG is of no exception. Once the game starts, referee gives numbers a and b to Alice and Bob, respectively, where a, b ∈. The game is played on a 3 × 3 square matrix with binary entries. In the MSG, players are allowed to communicate, share any resources and agree on any strategy, only until the game starts. Among quantum pseudo-telepathy games where quantum mechanical resources can theoretically outperform classical resources, a widely studied one is the so-called Magic Square game (MSG), in which two players, say Alice and Bob, play against a referee. Quantum games-where “everyone wins” 28, provide an interesting playground for investigating the advantages of utilizing various quantum weirdness over classical resources. Quantum resources also enable advantages in thermodynamics 24– 27. For example in quantum metrology, surpassing the classical shot noise limit has been studied extensively under various scenarios taking into account the standard decoherence channels and thermal noise 17– 23. Surpassing the classically achievable limit in various tasks is also in the center of attraction. One of the most groundbreaking advances in quantum technologies is the recent claim of Google that they have achieved quantum supremacy 16. On the other hand, speeding up classically possible computational tasks which are beyond the ability of any classical computer such as unsorted database search and factorization 1 and some other devoted efforts 13– 15 in achieving supremacy have been attracting an intense attention. 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– 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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