Mutually unbiased measurement based entanglement witnesses

Abstract

We study entanglement witness and present a construction of entanglement witnesses in terms of the mutually unbiased measurements (MUMs). These witnesses include the entanglement witnesses constructed from mutually unbiased bases (MUBs) as a special case. Comparing with the dimension dependence of MUBs, the witnesses can be always constructed from a complete set of $d+1$ MUMs for any dimension $d$. We show that our witness can detect entanglement better than previous separability criterion given also by MUMs. And the approach can be experimentally implemented.

10 pages

References in corpus (4)

• Covariance matrices and the separability problem
• Maximal Sets of Mutually Unbiased Quantum States in Dimension Six
• Further results on entanglement detection and quantification from the correlation matrix criterion
• Entanglement detection using mutually unbiased measurements

Cited by in corpus (1)

• Entanglement Witnesses Based on Symmetric Informationally Complete Measurements