The symmetric extendibility of quantum states
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Publication:2826714
DOI10.1088/1751-8113/49/38/385301zbMATH Open1348.81208arXiv1504.00388OpenAlexW2471976478MaRDI QIDQ2826714
Publication date: 18 October 2016
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Abstract: Studies on symmetric extendibility of quantum states become especially important in a context of analysis of one-way quantum measures of entanglement, distilabillity and security of quantum protocols. In this paper we analyse composite systems containing a symmetric extendible part with a particular attention devoted to one-way security of such systems. Further, we introduce a new one-way monotone based on the best symmetric approximation of quantum state. We underpin those results with geometric observations on structures of multi-party settings which posses in sub-spaces substantial symmetric extendible components. Finally, we state a very important conjecture linking symmetric-extendibility with one-way distillability and security of all quantum states analyzing behavior of private key in neighborhood of symmetric extendible states.
Full work available at URL: https://arxiv.org/abs/1504.00388
Cryptography (94A60) Quantum coherence, entanglement, quantum correlations (81P40) Quantum cryptography (quantum-theoretic aspects) (81P94)
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