Genuine entanglement, distillability and quantum information masking under noise

TL;DR

This paper investigates the effects of noise on multipartite entanglement, distillability, and quantum information masking, proposing new states and channels that demonstrate robustness or transformation of entanglement properties under noise.

Contribution

It constructs multipartite states unaffected by entanglement sudden death and introduces noise channels that transform GHZ states into D{"u}r's states, advancing understanding of entanglement dynamics under noise.

Findings

Multipartite states without genuine entanglement or distillability sudden death were constructed.

A noise channel was designed to transform GHZ states into D{"u}r's states.

Quantum information masking remains effective under the proposed noise models.

Abstract

Genuineness and distillability of entanglement play a key role in quantum information tasks, and they are easily disturbed by the noise. We construct a family of multipartite states without genuine entanglement and distillability sudden death across every bipartition, respectively. They are realized by establishing the noise as the multipartite high dimensional Pauli channels. Further, we construct a locally unitary channel as another noise such that the multipartite Greenberger-Horne-Zeilinger state becomes the D{\"u}r's multipartite state. We also show that the quantum information masking still works under the noise we constructed, and thus show a novel quantum secret sharing scheme under noise. The evolution of a family of three-qutrit genuinely entangled states distillable across every bipartition under noise is also investigated.