Distilling Entanglement with Noisy Operations

Abstract

Entanglement distillation is a fundamental task in quantum information processing. It not only extracts entanglement out of corrupted systems but also leads to protecting systems of interest against intervention with environment. In this work, we consider a realistic scenario of entanglement distillation where noisy quantum operations are applied. In particular, the two-way distillation protocol that tolerates the highest error rate is considered. We show that among all types of noise there are only four equivalence classes according to the distillability condition. Since the four classes are connected by local unitary transformations, our results can be used to improve entanglement distillability in practice when entanglement distillation is performed in a realistic setting.

arXiv comment19 pages

References in corpus (9)

• Mixed State Entanglement and Quantum Error Correction
• Separability Criterion for Density Matrices
• Concentrating Partial Entanglement by Local Operations
• Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels
• Quantum privacy amplification and the security of quantum cryptography over noisy channels
• Quantum repeaters based on entanglement purification
• Exact and Approximate Unitary 2-Designs: Constructions and Applications
• Distillability and partial transposition in bipartite systems
• Lower Bounds for Attainable Fidelity in Entanglement Purification