Efficient Recurrence Quantum Distillation Algorithm for Phase-Damping Channel

Quantum entanglement among remote agents is a key enabler for many important quantum communication operations. To establish entanglement between two remote agents, one agent can locally generate entangled qubit pairs and transmit one of the qubits in each pair to the other agent through quantum channels. However, the transmitted qubits will inevitably be contaminated by the noise inherent in the quantum channels. To address this challenge, quantum entanglement distillation (QED) algorithms have been developed to generate highly-entangled qubit pairs from many contaminated ones. Nevertheless, existing algorithms either have low efficiency or require large-scale quantum circuits. This paper focuses on phase-damping channel and proposes an efficient QED algorithm that only require small- scale quantum circuit.