Asymptotic adaptive bipartite entanglement distillation protocol

Abstract

We present a new asymptotic bipartite entanglement distillation protocol that outperforms all existing asymptotic schemes. This protocol is based on the breeding protocol with the incorporation of two-way classical communication. Like breeding, the protocol starts with an infinite number of copies of a Bell-diagonal mixed state. Breeding can be carried out as successive stages of partial information extraction, yielding the same result: one bit of information is gained at the cost (measurement) of one pure Bell state pair (ebit). The basic principle of our protocol is at every stage to replace measurements on ebits by measurements on a finite number of copies, whenever there are two equiprobable outcomes. In that case, the entropy of the global state is reduced by more than one bit. Therefore, every such replacement results in an improvement of the protocol. We explain how our protocol is organized as to have as many replacements as possible. The yield is then calculated for Werner states.

11 pages, 5 figures, RevTeX4

References in corpus (12)

• Mixed State Entanglement and Quantum Error Correction
• Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels
• Quantum privacy amplification and the security of quantum cryptography over noisy channels
• Limits for entanglement measures
• Local filtering operations on two qubits
• The Clifford group, stabilizer states, and linear and quadratic operations over GF(2)
• Local permutations of products of Bell states and entanglement distillation
• Quantum Error-Correcting Codes Need Not Completely Reveal the Error Syndrome
• Interpolation of recurrence and hashing entanglement distillation protocols
• Entanglement purification via separable superoperators
• The Minimum Distance Problem for Two-Way Entanglement Purification
• The equivalence of two approaches to the design of entanglement distillation protocols

Cited by in corpus (14)

• Quantum entanglement
• Entanglement purification and quantum error correction
• Adaptive recurrence quantum entanglement distillation for two-Kraus-operator channels
• Constant-Overhead Fault-Tolerant Bell-Pair Distillation using High-Rate Codes
• Stabilizer state breeding
• Entanglement Distillation; A Discourse on Bound Entanglement in Quantum Information Theory
• Multiparty quantum protocols for assisted entanglement distillation
• Quantum Entanglement Capacity with Classical Feedback
• Bounding Fault-Tolerant Thresholds for Purification and Quantum Computation
• Nondestructive Verification of Entangled States via Fidelity Witnessing
• Entanglement purification with two-way classical communication
• Adaptive Entanglement Purification Protocols with Two-way Classical Communication
• Adaptive Channel Reshaping for Improved Entanglement Distillation
• Optimizing quantum codes with an application to the loss channel with partial erasure information