Monogamy of Bell's inequality violations in non-signaling theories

Abstract

We derive monogamy relations (tradeoffs) between strengths of violations of Bell's inequalities from the non-signaling condition. Our result applies to general Bell inequalities with an arbitrary large number of partners, outcomes and measurement settings. The method is simple, efficient and does not require linear programming. The results are used to derive optimal fidelity for asymmetric cloning in nonsignaling theories.

arXiv comment4 pages, 2 figures, published version

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• Monogamy of Correlations vs. Monogamy of Entanglement
• Generalized monogamy of contextual inequalities from the no-disturbance principle
• Fundamental monogamy relation between contextuality and nonlocality
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• Quantum steering of multimode Gaussian states by Gaussian measurements: monogamy relations and the Peres conjecture
• Elemental and tight monogamy relations in nonsignalling theories
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• Synchronous observation of Bell nonlocality and state-dependent Kochen-Specker contextuality
• Trade-off Relations of Bell Violations among Pairwise Qubit Systems
• Quantum key distribution protocol based on contextuality monogamy
• Entropic nonsignaling correlations
• Quantum steering inequality with tolerance for measurement-setting-errors: experimentally feasible signature of unbounded violation
• Shareability of Quantum Steering and its Relation with Entanglement
• Local Realism of Macroscopic Correlations
• Analysing causal structures with entropy
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• Activation of monogamy in non-locality using local contextuality
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• Monogamy Relation in No-disturbance Theories
• The one-way unlocalizable quantum discord
• Bell monogamy relations in arbitrary qubit networks
• Trade-offs in multi-party Bell inequality violations in qubit networks
• Complementarity of genuine multipartite non-locality
• On monogamy of non-locality and macroscopic averages: examples and preliminary results
• The balance of quantum correlations for a class of feasible tripartite continuous variable states
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• Information complementarity in multipartite quantum states and security in cryptography
• Monogamy relation in multipartite continuous-variable quantum teleportation
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• Distribution of Bell inequality violation vs. multiparty quantum correlation measures
• Verification of Bell Nonlocality by Violating Quantum Monogamy Relations
• Entropic No-Disturbance as a Physical Principle
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• Unmasking the Polygamous Nature of Quantum Nonlocality
• Characterizing quantum correlations in the nonsignaling framework
• Simple and tight monogamy relations for a class of Bell inequalities
• Trade-off relation among genuine three-qubit nonlocalities in four-qubit systems
• Restrictions on shareability of classical correlations for random multipartite quantum states
• Monogamy of Nonlocal Games
• Genuine monogamy relations in no-signaling theories - a geometric approach
• Monogamy relations of entropic non-contextual inequalities and their experimental realization
• Nonlocality of Quantum States can be Transitive
• Entanglement of temporal sections as quantum histories and their quantum correlation bounds
• A No-go theorem for device-independent security in relativistic causal theories
• Single trusted qubit is necessary and sufficient for quantum realisation of extremal no-signaling correlations
• Antilinear superoperator, quantum geometric invariance, and antilinear symmetry for higher-dimensional quantum systems
• Security of device-independent quantum key distribution via monogamy relations from multipartite information causality
• Communication strength of correlations violating monogamy relations