Genuine entanglement, distillability and quantum information masking under noise

• Main Authors: Chen, L. (Author), Hu, M. (Author)
• Format: Article
• Language: English
• Published: Springer 2022
• Subjects: Bipartition; Distillability; Greenberger-Horne-Zeilinger state; High-dimensional; Higher-dimensional; Information tasks; Multipartite state; Pauli channels; Quantum cryptography; Quantum entanglement; Quantum Information; Quantum optics; Sudden deaths
• Online Access: View Fulltext in Publisher

 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 Dür’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. © 2022, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.