Distillation Protocols: Output Entanglement and Local Mutual Information

2004/05/31 by Michał Horodecki, Michal Horodecki, Jonathan Oppenheim +3 · 36 citations
Chemistry · Computer Science · Mathematics · Physics and Astronomy · #Artificial intelligence #Bipartite graph #Chemistry #Computer science #Computer security #Diagonal #Distillation #Entanglement distillation #Hash function #Matching (statistics) #Mathematics #Mutual information #Physics #Protocol (science) #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Squashed entanglement #Statistical physics #Statistics #Theoretical computer science #quant-ph

paper · pdf · doi:10.1103/physrevlett.93.170503

published in Physical Review Letters 93(17), 170503 (American Physical Society) · 4 pages, RevTeX, no figures; v2: presentation improved, results unchanged; v3: published version

openalex publication_date 2004/10/20 · arxiv created 2004/12/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A complementary behavior between local mutual information and average output entanglement is derived for arbitrary bipartite ensembles. This leads to bounds on the yield of entanglement in distillation protocols that involve disinguishing. This bound is saturated in the hashing protocol for distillation, for Bell-diagonal states.

Citations

• Mixed-State Entanglement and Distillation: Is there a “Bound” Entanglement in Nature?
• Separability Criterion for Density Matrices
• Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels
• Separability of mixed states: necessary and sufficient conditions

Cited by

• One-Way Quantum Secure Direct Communication with Choice of Measurement Basis as the Secret
• Distributed quantum dense coding with two receivers in noisy environments
• Locally accessible information of multisite quantum ensembles violates entanglement monogamy