Multiparticle entanglement purification protocols

1997/12/19 by M. Murao, Mio Murao, M. B. Plenio +6 · 8 citations
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Biology #Combinatorics #Computation #Computer science #Materials science #Mathematics #Particle (ecology) #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Range (aeronautics) #Theoretical computer science #Topology (electrical circuits) #quant-ph

paper · pdf · doi:10.1103/physreva.57.r4075

published as Phys.Rev. A57 (1998) 4075 · 5 pages, 2 figures and 1 table

arxiv created 1997/12/19 · openalex publication_date 1998/06/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Purification schemes for multiparticle entangled states cannot be treated as straightforward extensions of those two-particle ones because of the lack of symmetry they possess. We propose purification protocols for a wide range of mixed entangled states of many particles. These are useful for understanding entanglement, and could be of practical significance in multiuser cryptographic schemes or distributed quantum computation and communication. We show that operating locally on multiparticle entangled states directly is more efficient than relying on two-particle purification.

Citations

• Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
• Quantum cryptography based on Bell’s theorem
• Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model
• Quantum Privacy Amplification and the Security of Quantum Cryptography over Noisy Channels
• Thermodynamics and the measure of entanglement
• Quantifying Entanglement

Cited by

• The power of noisy fermionic quantum computation
• Purification of genuine multipartite entanglement
• Efficient symmetric multiparty quantum state sharing of an arbitrarym-qubit state
• Separability of n-particle mixed states: necessary and sufficient conditions in terms of linear maps
• PROBABILISTIC MULTIPARTY-CONTROLLED REMOTE PREPARATION OF AN ARBITRARY m-QUDIT STATE VIA POSITIVE OPERATOR-VALUED MEASUREMENT
• Qubit- and entanglement-assisted optimal entanglement concentration
• Rating the performance of noisy teleportation using fluctuations in fidelity
• Nonlocal entanglement concentration scheme for partially entangled multipartite systems with nonlinear optics