Hyperentanglement witness

Abstract

A new criterium to detect the entanglement present in a {\it hyperentangled state}, based on the evaluation of an entanglement witness, is presented. We show how some witnesses recently introduced for graph states, measured by only two local settings, can be used in this case. We also define a new witness $W_3$ that improves the resistance to noise by increasing the number of local measurements.

6 pages, 2 figures, RevTex. v2: new title, minor changes in the explanation of the witness for hyperentangled states, more comments in the conclusions section

References in corpus (6)

• Detecting Genuine Multipartite Entanglement with Two Local Measurements
• Experimental Analysis of a 4-Qubit Cluster State
• Entanglement Detection in the Stabilizer Formalism
• Hyperentangled Bell-state analysis
• Realization and characterization of a 2-photon 4-qubit linear cluster state
• Active one-way quantum computation with 2-photon 4-qubit cluster states

Cited by in corpus (2)

• Entanglement detection
• Hyperentanglement of two photons in three degrees of freedom