Multipartite Entanglement Witnesses

2013/03/31 by Jan Sperling, J. Sperling, W. Vogel · 162 citations
Computer Science · Physics and Astronomy · #Multipartite #Multipartite entanglement #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Squashed entanglement #Theoretical physics #quant-ph

paper · pdf · doi:10.1103/physrevlett.111.110503

published in Physical Review Letters 111(11), 110503 (American Physical Society) · published version

openalex publication_date 2013/09/13 · arxiv created 2013/09/18 · arxiv updated 2015/06/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We derive a set of algebraic equations, the so-called multipartite separability eigenvalue equations. Based on their solutions, we introduce a universal method for the construction of multipartite entanglement witnesses. We witness multipartite entanglement of 10(3) coupled quantum oscillators, by solving our basic equations analytically. This clearly demonstrates the feasibility of our method for studying ultrahigh orders of multipartite entanglement in complex quantum systems.

Citations

• Three qubits can be entangled in two inequivalent ways
• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
• Schmidt number for density matrices
• Experimental Detection of Multipartite Entanglement using Witness Operators
• Bound Entangled Gaussian States
• Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model
• Die gegenw�rtige Situation in der Quantenmechanik
• Determination of the Schmidt number
• Measurement-based quantum computation with cluster states
• Separability of mixed states: necessary and sufficient conditions
• Entanglement in many-body systems
• Quantum entanglement
• Entanglement detection

Cited by

• Reconfigurable Optical Quantum Networks Using Multimode Quantum Frequency Combs and Pulse Shaping
• Tripartite separability conditions exponentially violated by Gaussian states
• Entanglement witnesses: construction, analysis and classification
• Displaced photon-number entanglement tests
• Entanglement and nonclassicality: A mutual impression
• Characterizing the multipartite continuous-variable entanglement structure from squeezing coefficients and the Fisher information
• Characterizing High Schmidt Number Witnesses in Arbitrary Dimensions System