Adaptive recurrence quantum entanglement distillation for two-Kraus-operator channels
Author(s)
Ruan, Liangzhong; Dai, Wenhan; Win, Moe Z
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Quantum entanglement serves as a valuable resource for many important quantum operations. A pair of entangled qubits can be shared between two agents by first preparing a maximally entangled qubit pair at one agent, and then sending one of the qubits to the other agent through a quantum channel. In this process, the deterioration of entanglement is inevitable since the noise inherent in the channel contaminates the qubit. To address this challenge, various quantum entanglement distillation (QED) algorithms have been developed. Among them, recurrence algorithms have advantages in terms of implementability and robustness. However, the efficiency of recurrence QED algorithms has not been investigated thoroughly in the literature. This paper puts forth two recurrence QED algorithms that adapt to the quantum channel to tackle the efficiency issue. The proposed algorithms have guaranteed convergence for quantum channels with two Kraus operators, which include phase-damping and amplitude-damping channels. Analytical results show that the convergence speed of these algorithms is improved from linear to quadratic and one of the algorithms achieves the optimal speed. Numerical results confirm that the proposed algorithms significantly improve the efficiency of QED.
Date issued
2018-05Department
Massachusetts Institute of Technology. Department of Aeronautics and Astronautics; Massachusetts Institute of Technology. Laboratory for Information and Decision SystemsJournal
Physical Review A
Publisher
American Physical Society
Citation
Ruan, Liangzhong et al. "Adaptive recurrence quantum entanglement distillation for two-Kraus-operator channels." Physical Review A 97, 5 (May 2018): 052332 © 2018 American Physical Society
Version: Final published version
ISSN
2469-9926
2469-9934