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.

Joint remote state preparation in multi-hop network under noisy environment

“…Under the help of controlled-NOT gate, JRSP of an arbitrary qubit was achieved deterministicly [26]. Recently, Gong et al proposed a multi-hop JRSP using Bell states in addition with a controlled-NOT gate operated by one of the senders in ideal environment [72]. According to our knowledge, there is few works focusing the effect of noise on JRSP in multi-hop network.…”

Deterministic remote preparation of multi-qubit equatorial states through dissipative channels

“…Therefore, RSP schemes consume less qubit resources. So far, RSP has gained extensive interest and research, such as deterministic RSP (DRSP), [12,13] joint RSP (JRSP), [14][15][16][17][18] controlled RSP (CRSP), [19][20][21][22][23][24][25] and continuous variable RSP. [26,27] Several RSP programs have been experimentally implemented in linear optical systems, [28] cavity QED, [29][30][31] and nuclear magnetic resonance systems.…”