Bidirectional remote state preparation in noisy environment assisted by weak measurement

By using special single-qubit measurement bases, we first proposed a bidirectional remote state preparation (BRSP) scheme to prepare two arbitrary single-qubit states in a noiseless quantum channel. Then, we modified it to a joint BRSP scheme and generalized it to prepare multi-qubit states. Meanwhile, we discussed the preparation fidelity of the scheme under the simulation of amplitude damping (AD) noise. In addition, we employed the weak measurement and its reversing measurements for the BRSP scheme and obtained higher fidelity of preparation results. Finally, through numerical simulation, we compared and analyzed the preparation fidelities under the above two conditions, the results of which showed that the weak measurement method was helpful in improving the proposed BRSP in the AD noise channel.

Automated summary

By utilizing special single-qubit measurement bases, a bidirectional remote state preparation (BRSP) scheme was introduced to prepare two arbitrary single-qubit states in a noiseless quantum channel. The scheme was then modified to a joint BRSP scheme and extended to prepare multi-qubit states. The discussion also focused on the preparation fidelity under simulation of amplitude damping (AD) noise, with the incorporation of weak measurements for improved fidelity. Numerical simulations demonstrated that weak measurements were beneficial in enhancing the proposed BRSP in the presence of AD noise.