pith. sign in

arxiv: quant-ph/0004051 · v2 · submitted 2000-04-11 · 🪐 quant-ph

Persistent entanglement in arrays of interacting particles

classification 🪐 quant-ph
keywords entanglementstatesqubitsarraysamountclassclassicalcommunication
0
0 comments X
read the original abstract

We study the entanglement properties of a class of $N$ qubit quantum states that are generated in arrays of qubits with an Ising-type interaction. These states contain a large amount of entanglement as given by their Schmidt measure. They have also a high {\em persistency of entanglement} which means that $\sim N/2$ qubits have to be measured to disentangle the state. These states can be regarded as an entanglement resource since one can generate a family of other multi-particle entangled states such as the generalized GHZ states of $<N/2$ qubits by simple measurements and classical communication (LOCC).

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. The Structure of Circle Graph States

    quant-ph 2026-03 unverdicted novelty 7.0

    Circle graphs are closed under r-local complementation and bipartite circle graph states correspond one-to-one with planar code states whose MBQC is classically simulable.

  2. The $S=\frac{1}{2}$ XY and XYZ models on the two or higher dimensional hypercubic lattice do not possess nontrivial local conserved quantities

    cond-mat.stat-mech 2024-12 unverdicted novelty 6.0

    The S=1/2 XY and XYZ models on d≥2 hypercubic lattices possess no nontrivial local conserved quantities.

  3. On the existence of fully inseparable biseparable Gaussian states

    quant-ph 2026-05 unverdicted novelty 4.0

    Numerical evidence from projections and witnesses on specific Gaussian families leads to the conjecture that full inseparability implies genuine multipartite entanglement for all Gaussian states.

  4. Experimental verification of multi-copy activation of genuine multipartite entanglement

    quant-ph 2025-10 conditional novelty 4.0

    Experimental demonstration that two copies of a biseparable three-qubit state exhibit genuine multipartite entanglement when combined on a trapped-ion device.

  5. Entanglement Certification $-$ From Theory to Experiment

    quant-ph 2019-06 unverdicted

    Reviews paradigmatic entanglement quantifiers and state-of-the-art detection/certification methods, with emphasis on assumptions about states and measurements.