Multihop fault-tolerant joint remote state preparation of an arbitrary single-qubit state

Abstract

We present a strategy for multihop fault-tolerant joint remote state preparation of an arbitrary single-qubit state. To reduce the requirements of the channels, our scheme uses the nonmaximally entangled channel instead of the maximally entangled channel as the quantum channel. However, several typical operational errors such as X, Z, or XZ may occur on the channel qubits when the qubits are distributed from the former node to the next adjacent node. Note that the quantum error correction matrix is considered to deal with the influence of all possible operational errors by the final receiver instead of each intermediate node. Since all the measurement operations in the scheme can be executed in parallel and all the error corrections and the preparation of the target state are handled by the receiver with one unified unitary operation, our scheme significantly reduces both the time delay and the operation complexity and also enhances the implementation efficiency.