Asymmetric Circular Controlled Quantum State Transmission Scheme in Ideal and Noisy Environment

We present a four-participant scheme for the asymmetric circular controlled quantum states transmission. David is the controller, Alice, Bob and Charlie can complete the transmission of single-qubit, two-qubit and three-qubit states respectively. The scheme is discussed in ideal and noisy environments respectively. In an ideal environment, we first construct a quantum channel by using quantum gate operations. Secondly, the senders and controller choose an appropriate measurement basis to measure their own particles, and the receiver can use appropriate unitary operations to restore the quantum state according to the measurement results. All the measurement results and corresponding recovery operations are given. In the noise environment, we calculate the fidelities of the output states in the amplitude damping and phase damping noise environments, and observe the effect of noise according to the different values of the quantum state coefficient and noise factor. Finally, through the analysis of the scheme performance, it can be seen that our scheme has obvious advantages in quantum state transmission, including increasing the number of quantum state particles transmitted, reducing the consumption of classical communication and higher communication efficiency.