Measurement-device-independent nonlinear entanglement witnesses

Abstract Entanglement witnesses (EWs) are one of the most effective methods to detect entanglement. It is known that nonlinear EW provide better entanglement detection than their linear counterparts, in former a strictly larger subset entangled states latter. Whether or nonlinear, method measurement-device dependent, so imperfect measurements may cause false certification shared state. Measurement-device-independent an escape from such measurement dependence for EW. Here we present measurement-device-independent non-positive partial transpose as well bound with positive transpose. Although witness considered herein does not set other EW, it more efficient never leads corresponding wrong measurements. The constructed certify same sets device-dependent parents do, and therefore device-independent otherwise.