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Research on Asymmetric Controlled Cyclic Joint Remote Quantum State Preparation in Noisy Environment

Artificial intelligence and quantum communication are two distinct but very far-reaching disciplines. In recent years, with the rapid development of these two disciplines, using artificial intelligence to solve the problem of transmission quality in quantum communication is also a hotspot of scientific research. In this paper, we propose the scheme for asymmetric controlled cyclic joint remote state preparation scheme in noisy environments to lay the foundation for the future use of artificial intelligence to solve the noise problem in the quantum communication process. In the scheme, under the control of supervisor David, several senders can jointly realize the preparation of quantum states for the remote receiver. We first performed the theoretical analysis of the scheme in the ideal environment, then studied the scheme in four different noise environments (amplitude damping noise, phase damping noise, bit-flip noise, depolarized noise). The results show that except in the bit-flip noise environment, the fidelity of the output state is only related to the decoherence rate, and in the other three noise environments, the fidelity is not only related to the decoherence rate but also the coefficients of the desired state. Finally, we also compared our scheme with other remote state preparation schemes, and the results show that our scheme has some superiority.