Continuity of the relative entropy of resource
| Authors |
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| Publication date | 08-2024 |
| Journal | International Journal of Quantum Information |
| Article number | 2440009 |
| Volume | Issue number | 22 | 5 |
| Number of pages | 14 |
| Organisations |
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| Abstract | We present a criterion to establish the local continuity of the relative entropy of resource, i.e. the relative entropy distance to the set of free states, in any quantum resource theory. Several basic corollaries of this criterion are presented. Applications to the relative entropy of entanglement in multipartite quantum systems are considered. It is shown, in particular, that local continuity of any relative entropy of multipartite entanglement follows from local continuity of the quantum mutual information. |
| Document type | Article |
| Language | English |
| Published at |
https://doi.org/10.1142/S0219749924400094
(Final published version)
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