Uniform Entanglement Frames

Abstract

We present several criteria for genuine multipartite entanglement from universal uncertainty relations based on majorization theory. Under non-negative Schur-concave functions, the vector-type uncertainty relation generates a family of infinitely many detectors to check genuine multipartite entanglement. We also introduce the concept of $k$-separable circles via geometric distance for probability vectors, which include at most $(k-1)$-separable states. The entanglement witness is also generalized to a universal entanglement witness which is able to detect the $k$-separable states more accurately.

11 pages, added 2 references

References in corpus (10)

• The uncertainty principle determines the non-locality of quantum mechanics
• Taming multiparticle entanglement
• Measure of genuine multipartite entanglement with computable lower bounds
• Witnessing genuine multipartite entanglement with positive maps
• Determining lower bounds on a measure of multipartite entanglement from few local observables
• Improved lower bounds on genuine-multipartite-entanglement concurrence
• Weighted Uncertainty Relations
• Genuine multipartite entanglement detection and lower bound of multipartite concurrence
• Detecting genuine multipartite entanglement of pure states with bipartite correlations
• Entanglement Detection Using Majorization Uncertainty Bounds

Cited by in corpus (1)

• Uncertainty under Quantum Measures and Quantum Memory