Detection of Ideal Resource for Multiqubit Teleportation

TL;DR

This paper presents a practical criterion for detecting entanglement resources necessary for perfect multiqubit teleportation, involving local measurements and establishing a necessary condition for state separability.

Contribution

It introduces a sufficient and necessary condition for multiqubit entanglement detection, improving the understanding of teleportation resource identification and solving an open problem from prior research.

Findings

Criterion involves only local measurements on complementary observables

Provides a necessary condition for full separability of multiqubit states

Proves the optimality of teleportation witnesses

Abstract

We give a sufficient condition in detecting entanglement resource for perfect multiqubit teleportation. The criterion involves only local measurements on some complementary observables and can be experimentally implemented. It is also a necessary condition for fully separability of multiqubit states. Moreover, by proving the optimality of teleportation witnesses, we solve the open problem in [Phys. Rev. A {\bf 86}, 032315 (2012)].