Controlled remote state preparation via partially entangled quantum channel

TL;DR

This paper introduces two efficient controlled remote state preparation protocols using partially entangled channels, achieving success probabilities up to 100% for certain states without auxiliary qubits or complex operations.

Contribution

The proposed schemes are novel in avoiding auxiliary qubits and unitary transformations, with success probabilities independent of channel coefficients.

Findings

Success probabilities are 50% for single-qubit states and 25% for two-qubit states.

Success probabilities can reach 100% for specific classes of states.

No auxiliary qubits or two-qubit unitary transformations are needed.

Abstract

We propose two controlled remote state preparation protocols via partially entangled channels. One prepares a single-qubit state and the other prepares a two-qubit state. Different from other controlled remote state preparation schemes which also utilize partially entangled channels, neither auxiliary qubits nor two-qubit unitary transformations are required in our schemes and the success probabilities are independent of the coefficients of the quantum channel. The success probabilities are 50% and 25% for arbitrary single-qubit states and two-qubit states, respectively. We also show that the success probabilities can reach 100% for restricted classes of states.