Bell monogamy relations in arbitrary qubit networks

Characterizing tradeoffs between simultaneous violations of multiple Bell inequalities in a large network has important physical consequences but is computationally demanding. We propose a graph-theoretic approach to efficiently produce Bell monogamy relations in arbitrary arrangements of qubits. Al...

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Bibliographic Details
Main Authors: Ramanathan, R., McKague, M., Kaszlikowski, D., Tran, Minh Cong, Paterek, Tomasz
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2018
Subjects:
Online Access:https://hdl.handle.net/10356/89176
http://hdl.handle.net/10220/47039
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Institution: Nanyang Technological University
Language: English
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Summary:Characterizing tradeoffs between simultaneous violations of multiple Bell inequalities in a large network has important physical consequences but is computationally demanding. We propose a graph-theoretic approach to efficiently produce Bell monogamy relations in arbitrary arrangements of qubits. All the relations obtained for bipartite Bell inequalities are tight and leverage only a single Bell monogamy relation. This feature is unique to bipartite Bell inequalities, as we show that there is no finite set of such elementary monogamy relations for multipartite inequalities. Nevertheless, many tight monogamy relations for multipartite inequalities can be obtained with our method as shown in explicit examples.