TL;DR
This paper introduces a universal algebraic method for constructing multipartite entanglement witnesses, demonstrated by witnessing entanglement in a system of 1000 coupled quantum oscillators, highlighting its potential for complex quantum systems.
Contribution
It develops a set of algebraic equations for multipartite entanglement detection and provides an analytical solution approach, enabling study of ultra-high order entanglement.
Findings
Successfully witnessed entanglement in 1000 oscillators
Demonstrated analytical solutions to multipartite separability equations
Proved the method's feasibility for complex quantum systems
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 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.
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