Global entanglement in multiparticle systems

By D. Meyer, Nolan Wallach. 2001

494 citations recorded by the source corpus.

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.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/d873e46dbe6f382326eb82b766b39c5f6f2b8bbb

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In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

Citations in the corpus

Entanglement in many-body systems (2007, methodology): “In the case of qubit system the Q-measure of Meyer and Wallach is the average purity (which is the average one-tangle in (Coffman et al., 2000)) of the state (Barnum et al., 2004; Brennen, 2003; Meyer and Wallach, 2002) Egl = 2 − 2 N N ∑ j=1 Trρ2j .”
Quantum walks: a comprehensive review (2012, methodology): “have produced several position probability distributions of quantum walks with entangled walkers (fermions and bosons) [347], Endrejat and Büttner have presented a multi-coin scheme in order to analyze the effect of entanglement in the initial coin state [141], Pathak and Agarwal [356] have argued t”
Geometry of Quantum States: Index (2007, unknown): “Mayer and Wallach wrote it differently [656].”