Adaptive Entanglement Purification Protocols with Two-way Classical Communication

Abstract

We present a family of entanglement purification protocols that generalize four previous methods, namely the recurrence method, the modified recurrence method, and the two methods proposed by Maneva-Smolin and Leung-Shor. We will show that this family of protocols have improved yields over a wide range of initial fidelities F, and hence imply new lower bounds on the quantum capacity assisted by two-way classical communication of the quantum depolarizing channel. In particular, the yields of these protocols are higher than the yield of universal hashing for F less than 0.993 and as F goes to 1.

4 pages with 7 figures, references added

References in corpus (5)

• Mixed State Entanglement and Quantum Error Correction
• Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels
• Interpolation of recurrence and hashing entanglement distillation protocols
• Asymptotic adaptive bipartite entanglement distillation protocol
• Entanglement purification with two-way classical communication