Quantum key distribution protocol based on contextuality monogamy

Abstract

The security of quantum key distribution protocols hinges upon features of physical systems that are uniquely quantum in nature. We explore the role of quantumness as qualified by quantum contextuality, in quantum key distribution schemes. We present a new quantum key distribution protocol whose security depends uponthe KCBS inequality and contextuality monogamy. We explicitly calculate the key rate, error rate introduced between Alice-Bob communication due to the presence of Eve, and the information-gain by Eve. This protocol provides a new framework for quantum key distribution which has conceptual and practical advantages over other quantum protocols.

Minor Changes New proof added

References in corpus (5)

• Hidden Variables and the Two Theorems of John Bell
• A simple test for hidden variables in spin-1 system
• Experimentally testable state-independent quantum contextuality
• Monogamy of Bell's inequality violations in non-signaling theories
• Necessary and sufficient condition for quantum state-independent contextuality

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• Machine Learning meets Quantum Foundations: A Brief Survey
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• Sum-of-squares decompositions for a family of noncontextuality inequalities and self-testing of quantum devices
• Authentication protocol based on collective quantum steering
• Role of Bell-CHSH violation and local filtering in quantum key distribution
• Canonical Leggett-Garg Inequality: Nonclassicality of temporal quantum correlations under energy constraint
• Multiphoton Bell-type inequality: a tool to unearth nonlocality of continuous variable quantum optical systems
• Experimental demonstration of fully contextual quantum correlations on an NMR quantum information processor
• Revealing quantum contextuality using a single measurement device
• Non-classical Correlations in n-Cycle Setting
• Experimental demonstration of the violation of the temporal Peres-Mermin inequality using contextual temporal correlations and noninvasive measurements
• Revisiting the admissibility of non-contextual hidden variable models in quantum mechanics
• Protecting temporal correlations of two-qubit states using quantum channels with memory
• Efficient Computation of Generalized Noncontextual Polytopes and Quantum violation of their Facet Inequalities
• Deterministic generation of hybrid entangled states using quantum walks
• Contextuality based quantum conferencing
• Contextuality, superlocality and nonclassicality of supernoncontextuality
• Arbitrarily large violations of non-contextuality in single mode photon states with positive Wigner function
• Scheme of quantum communications based on Witting polytope
• Frame dependence of Spekkens' contextuality for relativistic spin systems
• All fundamental non-contextuality inequalities are unique