Global entanglement in multiparticle systems
2001/08/23 by David A. Meyer, Nolan R. Wallach · 518 citations
Computer Science · Physics and Astronomy · #Antiferromagnetism #Eigenvalues and eigenvectors #Heisenberg model #Measure (data warehouse) #Polynomial #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum entanglement #Quantum information #Quantum many-body systems #Squashed entanglement #quant-ph
paper · pdf · doi:10.1063/1.1497700
published in Journal of Mathematical Physics 43(9), 4273-4278 (American Institute of Physics) · 9 pages, plain TeX, 1 PostScript figure included with epsf.tex (ignore the under/overfull \vbox error messages); for related work see http://math.ucsd.edu/~dmeyer/research.html or http://www.math.ucsd.edu/~nwallach/
arxiv created 2001/08/23 · openalex publication_date 2002/09/01 · arxiv updated 2015/06/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Abstract
We define a polynomial measure of multiparticle entanglement which is scalable, i.e., which applies to any number of spin-12 particles. By evaluating it for three particle states, for eigenstates of the one dimensional Heisenberg antiferromagnet and on quantum error correcting code subspaces, we illustrate the extent to which it quantifies global entanglement. We also apply it to track the evolution of entanglement during a quantum computation.
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