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

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Cited by in corpus (7)

• Entanglement detection
• Hyperentanglement of two photons in three degrees of freedom
• Faithful entanglement purification for high-capacity quantum communication with two-photon four-qubit systems
• Verifying Genuine High-Order Entanglement
• Generation of hyperentangled photon pairs in the time and frequency domain on a silicon photonic chip
• Quantitative entanglement witnesses of Isotropic- and Werner-class via local measurements
• Clifford operators in SU(N)1; N not odd prime