Fundamental limits on key rates in device-independent quantum key distribution

Abstract

In this paper, we introduce intrinsic non-locality as a quantifier for Bell non-locality, and we prove that it satisfies certain desirable properties such as faithfulness, convexity, and monotonicity under local operations and shared randomness. We then prove that intrinsic non-locality is an upper bound on the secret-key-agreement capacity of any device-independent protocol conducted using a device characterized by a correlation $p$. We also prove that intrinsic steerability is an upper bound on the secret-key-agreement capacity of any semi-device-independent protocol conducted using a device characterized by an assemblage $\hat{\rho }$. We also establish the faithfulness of intrinsic steerability and intrinsic non-locality. Finally, we prove that intrinsic non-locality is bounded from above by intrinsic steerability.

arXiv comment44 pages, 4 figures, final version accepted for publication in New Journal of Physics

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Cited by in corpus (27)

• Advances in Quantum Cryptography
• Advances in device-independent quantum key distribution
• Quantifying Bell: the Resource Theory of Nonclassicality of Common-Cause Boxes
• Security of device-independent quantum key distribution protocols: a review
• Bell nonlocality is not sufficient for the security of standard device-independent quantum key distribution protocols
• Complementary relations of entanglement, coherence, steering and Bell nonlocality inequality violation in three-qubit states
• Upper bounds on device-independent quantum key distribution
• Self-testing of any pure entangled state with minimal number of measurements and optimal randomness certification in one-sided device-independent scenario
• Repeater-like asynchronous measurement-device-independent quantum conference key agreement
• Certification of incompatible measurements using quantum steering
• Effect of source statistics on utilizing photon entanglement in quantum key distribution
• Fundamental limitations on the device-independent quantum conference key agreement
• Detected the steerability bounds of the generalized Werner states via BackPropagation neural network
• Upper bounds on device-independent quantum key distribution rates in static and dynamic scenarios
• Advanced Alicki-Fannes-Winter method for energy-constrained quantum systems and its use
• Multi-field quantum conferencing overcomes the network capacity limit
• The future of secure communications: device independence in quantum key distribution
• Certification of the maximally entangled state using non-projective measurements
• Multipartite Intrinsic Non-Locality and Device-Independent Conference Key Agreement
• Communication Cost for Non-Markovianity of Tripartite Quantum States: A Resource Theoretic Approach
• Upper bounds on key rates in device-independent quantum key distribution based on convex-combination attacks
• Limitations on device independent key secure against non signaling adversary via the squashed non-locality
• Hidden Steering Nonlocality in Quantum Networks
• Upper bounds on device-independent quantum key distribution rates and a revised Peres conjecture
• Entanglement Cost for Steering Assemblages
• Extremal Steering Assemblages
• Cyclic Einstein-Podolsky-Rosen Steering