No Signalling and Quantum Key Distribution

Abstract

Standard quantum key distribution protocols are provably secure against eavesdropping attacks, if quantum theory is correct. It is theoretically interesting to know if we need to assume the validity of quantum theory to prove the security of quantum key distribution, or whether its security can be based on other physical principles. The question would also be of practical interest if quantum mechanics were ever to fail in some regime, because a scientifically and technologically advanced eavesdropper could perhaps use post-quantum physics to extract information from quantum communications without necessarily causing the quantum state disturbances on which existing security proofs rely. Here we describe a key distribution scheme provably secure against general attacks by a post-quantum eavesdropper who is limited only by the impossibility of superluminal signalling. The security of the scheme stems from violation of a Bell inequality.

Clarifications and minor revisions in response to comments. Final version; to appear in Phys. Rev. Lett

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• Exposure of subtle multipartite quantum nonlocality
• Device-independent secret key rates via a post-selected Bell inequality
• Quantifying Multipartite Quantum Entanglement in a Semi-Device-Independent Manner
• 3XOR Games with Perfect Commuting Operator Strategies Have Perfect Tensor Product Strategies and are Decidable in Polynomial Time
• Correlations, Bell Inequality Violation & Quantum Entanglement
• The Hilbertian Tensor Norm and Entangled Two-Prover Games
• A Tractable Protocol for Detection-Loophole-Free Bell Tests over Long Distances
• Quantum foundations for quantum technologies in the International Year of Quantum (2025)
• Device-independent certification of degeneracy-breaking measurements
• Signaling between time steps does not allow for nonlocality beyond hidden nonlocality
• Signaling versus distinguishing different superpositions of same pure quantum state
• Upper bounds on the leakage of private data and operational approach to markovianity
• No real advantage of photon subtraction and displacement in continuous variable measurement device independent quantum key distribution
• Composable framework for device-independent state certification
• Interplay of Quantum Resources in Nonlocality Tests
• Local hidden variable values without optimization procedures
• Single trusted qubit is necessary and sufficient for quantum realisation of extremal no-signaling correlations
• Expanding bipartite Bell inequalities for maximum multi-partite randomness
• The Binary-Outcome Detection Loophole
• (Almost-)Quantum Bell Inequalities and Device-Independent Applications
• The super-indeterminism in orthodox quantum mechanics does not implicate the reality of experimenter free will
• Local deterministic simulation of equatorial Von Neumann measurements on tripartite GHZ state
• Masking quantum information encoded in pure and mixed states
• Device Independent Quantum Key Activation
• The Hardy's nonlocality argument
• Genuine multipartite entanglement is not necessary for standard device-independent conference key agreement
• Experimental genuine quantum nonlocality in the triangle network
• Experimental realization of secure multi-party computation in an entanglement access to network
• The Richness of Bell Nonlocality: Generalized Bell Polygamy and Hyper-Polygamy
• No-cost Bell nonlocality certification from quantum tomography and its applications in quantum-magic-resource witnessing
• Sequential Semi-Device-Independent Quantum Randomness Certification
• Tight analytic bound on the trade-off between device-independent randomness and nonlocality
• Correcting for finite statistics effects in a quantum steering experiment
• Generation and Detection of Quantum Correlations and Entanglement on a Spin-Based Quantum Information Processor
• Summoning, No-Signaling and Relativistic Bit Commitments
• How to Device-Independently Generate States for Which Unambiguous State Discrimination is Impossible
• Non-Locality Distillation is Impossible for Isotropic Quantum Systems
• Monogamy relations for relativistically causal correlations
• Nonlocal Generalized Quantum Measurements of Spin Products Without Maximal Entanglement
• Strong quantum nonlocality for multipartite entangled states
• Device-independent quantum key distribution
• How Likely Are You to Observe Non-locality with Imperfect Detection Efficiency and Random Measurement Settings?
• Conditional steering under von-Neumann scenario
• A testable prediction of the no-signalling condition using a variant of the EPR-Bohm example
• Contextuality, superlocality and nonclassicality of supernoncontextuality
• Extremal Steering Assemblages
• Stronger Attacks on Causality-Based Key Agreement
• De Finetti Theorems for Quantum Conditional Probability Distributions with Symmetry
• Operational Mermin non-locality and All-vs-Nothing arguments
• Security of device-independent quantum key distribution via monogamy relations from multipartite information causality
• Grover Energy Transfer at Relativistic Speeds
• Reality, locality and all that: "experimental metaphysics" and the quantum foundations
• From Information Theory Puzzles in Deletion Channels to Deniability in Quantum Cryptography
• Towards secure communication using intra-particle entanglement
• Generalized Gleason theorem and finite amount of information for the context
• Nontraditional Deterministic Remote State Preparation Using a Non-Maximally Entangled Channel without Additional Quantum Resources
• Trading symmetry for Hilbert-space dimension in Bell-inequality violation
• Activation of post-quantum steering
• Linear Program Witness for Network Nonlocality in Arbitrary Networks
• Theory-Independent Context Incompatibility: Quantification and Experimental Demonstration
• Communication strength of correlations violating monogamy relations
• Condition for the generation of the secret key in a BB84 like quantum key distribution protocol