Uniform continuity bounds for characteristics of multipartite quantum systems

• URL: http://arxiv.org/abs/2007.00417v2
• Date: Sun, 14 Mar 2021 19:29:08 GMT
• Title: Uniform continuity bounds for characteristics of multipartite quantum systems
• Authors: M.E.Shirokov
• Abstract summary: We consider universal methods for obtaining continuity bounds for characteristics of multipartite quantum systems. By these methods we obtain continuity bounds for several important characteristics of a multipartite quantum state. Results are used to prove the continuity of the $n$-partite squashed entanglement, c-squashed entanglement and the conditional entanglement of mutual information under the energy constraints.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We consider universal methods for obtaining (uniform) continuity bounds for characteristics of multipartite quantum systems. We pay a special attention to infinite-dimensional multipartite quantum systems under the energy constraints. By these methods we obtain continuity bounds for several important characteristics of a multipartite quantum state: the quantum (conditional) mutual information, the squashed entanglement, the c-squashed entanglement and the conditional entanglement of mutual information. The continuity bounds for the multipartite quantum mutual information are asymptotically tight for large dimension/energy. The obtained results are used to prove the asymptotic continuity of the $n$-partite squashed entanglement, c-squashed entanglement and the conditional entanglement of mutual information under the energy constraints.

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