Genuine entanglement, distillability and quantum information masking under noise. (English) Zbl 1508.81136
Summary: 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.
MSC:
| 81P40 | Quantum coherence, entanglement, quantum correlations |
| 81P45 | Quantum information, communication, networks (quantum-theoretic aspects) |
| 81P48 | LOCC, teleportation, dense coding, remote state operations, distillation |
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