Multipartite Entanglement Witnesses

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 ultra-high orders of multipartite entanglement in complex quantum systems.

published version

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Cited by in corpus (107)

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• Characterizing the Multipartite Entanglement Structure of Non-Gaussian Continuous-Variable States with a Single Evolution Operator
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• Entangled light from driven dissipative microcavities
• Transformations of symmetric multipartite Gaussian states by Gaussian LOCC
• Long-distance genuine multipartite Entanglement between Magnetic Defects in Spin Chains
• Generation, dynamical buildup and detection of bi- and mulipartite entangled states in cavity systems
• Retrodiction of measurement outcomes on a single quantum system reveals entanglement with its environment
• Uniform Entanglement Frames
• A hierarchy of entanglement criteria for four qubit symmetric Greenberger-Horne-Zeilinger diagonal states
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