A Witness of Multipartite Entanglement Strata

Abstract

We describe an entanglement witness for $N$-qubit mixed states based on the properties of $N$-point correlation functions. Depending on the degree of violation, this witness can guarantee that no more than $M$ qubits are separable from the rest of the state for any $M\le N$, or that there is some genuine $M$-party or greater multipartite entanglement present. We illustrate the use our criterion by investigating the existence of entanglement in thermal stabilizer states, where we demonstrate that the witness is capable of witnessing bound-entangled states. Intriguingly, this entanglement can be shown to persist in the thermodynamic limit at arbitrary temperature.

arXiv comment7 pages, 1 figure

References in corpus (23)

• Witnessing multipartite entanglement
• All multipartite Bell correlation inequalities for two dichotomic observables per site
• Bell's theorem for general N-qubit states
• Detecting Genuine Multipartite Entanglement with Two Local Measurements
• Violation of Bell's inequality: criterion for quantum communication complexity advantage
• Quantifying Entanglement with Witness Operators
• Experimental Test of Quantum Nonlocality in Four-photon Greenberger-Horne-Zeilinger Entanglement
• Nonlocality of cluster states of qubits
• Magnetic Susceptibility as a Macrosopic Entaglement Witness
• Spectral decomposition of Bell's operators for qubits
• Experimental violation of a cluster state Bell inequality
• Multipartite bound entangled states that violate Bell's inequality
• Linking entanglement and quantum phase transitions via density functional theory
• Tight multipartite Bell's inequalities involving many measurement settings
• Investigating three qubit entanglement with local measurements
• Distillability, Bell inequalities and multiparticle bound entanglement
• Bell inequalities and distillability in N-quantum-bit systems
• Detecting entanglement with a thermometer
• Detection of multipartite entanglement with two-body correlations
• Optimal purification of thermal graph states
• Better detection of Multipartite Bound Entanglement with Three-Setting Bell Inequalities
• Violation of Bell's inequalities implies distillability for N qubits
• Multipartite purification protocols: upper and optimal bounds

Cited by in corpus (7)

• Entanglement detection
• Fisher information and multiparticle entanglement
• Open-System Dynamics of Entanglement
• Optimal Detection of Entanglement in GHZ States
• Thermal robustness of multipartite entanglement of the 1-D spin 1/2 XY model
• Macroscopic bound entanglement in thermal graph states
• Arboreal Bound Entanglement