Measurement-device-independent nonlinear entanglement witnesses
arXiv:2106.05796 · doi:10.1088/1751-8121/ace4a5
Abstract
Entanglement witnesses are one of the most effective methods to detect entanglement. It is known that nonlinear entanglement witnesses provide better entanglement detection than their linear counterparts, in that the former detect a strictly larger subset of entangled states than the latter. Whether linear or nonlinear, the method is measurement-device dependent, so that imperfect measurements may cause false certification of entanglement in a shared state. Measurement-device-independent entanglement witnesses provide an escape from such measurement dependence of the entanglement detection for linear entanglement witnesses. Here we present measurement-device-independent nonlinear entanglement witnesses for non-positive partial transpose entangled states as well as for bound entangled states with positive partial transpose. The constructed measurement-device-independent nonlinear entanglement witnesses certify the entanglement of the same sets of entangled states as their device-dependent parents do, and therefore are better than the linear entanglement witnesses, device-independent or otherwise.
v2: 8 pages, no figures, examples added
References in corpus (21)
- Entanglement detection
- A complete family of separability criteria
- Entanglement Detection in the Stabilizer Formalism
- Tunable ion-photon entanglement in an optical cavity
- Covariance matrices and the separability problem
- Measurement-Device-Independent Entanglement Witnesses for All Entangled Quantum States
- Detecting multipartite entanglement
- Imperfect measurements settings: implications on quantum state tomography and entanglement witnesses
- Optimal entanglement witnesses based on local orthogonal observables
- Entanglement criteria based on local uncertainty relations are strictly stronger than the computable cross norm criterion
- Unifying several separability conditions using the covariance matrix criterion
- Determining lower bounds on a measure of multipartite entanglement from few local observables
- Local commutativity versus Bell inequality violation for entangled states and versus non-violation for separable states
- Entanglement witnesses and a loophole problem
- Nonlinear entanglement witnesses, covariance matrices and the geometry of separable states
- Iterations of nonlinear entanglement witnesses
- Measurement-device-independent entanglement detection for continuous-variable systems
- Detecting three-qubit bound MUB diagonal entangled states via Nonlinear optimal entanglement witnesses
- Efficient nonlinear witnessing of non-absolutely separable states with lossy detectors
- Entanglement verification via nonlinear witnesses
- Witness to detect quantum correlation of bipartite states in arbitrary dimension