Quantum Communication between N partners and Bell's inequalities

Abstract

We consider a family of quantum communication protocols involving $N$ partners. We demonstrate the existence of a link between the security of these protocols against individual attacks by the eavesdropper, and the violation of some Bell's inequalities, generalizing the link that was noticed some years ago for two-partners quantum cryptography. The arguments are independent of the local hidden variable debate.

4 pages, 2 figures

References in corpus (1)

• All multipartite Bell correlation inequalities for two dichotomic observables per site

Cited by in corpus (137)

• Quantum entanglement
• Bell nonlocality
• Entanglement detection
• Experimental Demonstration of Five-photon Entanglement and Open-destination Teleportation
• Bell's theorem for general N-qubit states
• Multiparty Quantum Secret Sharing Based on Entanglement Swapping
• Cryptanalysis of the Hillery-Buzek-Berthiaume quantum secret-sharing protocol
• A Relevant Two Qubit Bell Inequality Inequivalent to the CHSH Inequality
• Thermalizing Quantum Machines: Dissipation and Entanglement
• Active learning machine learns to create new quantum experiments
• Quantum entanglement and Bell inequalities in Heisenberg spin chains
• Experimental Test of Quantum Nonlocality in Four-photon Greenberger-Horne-Zeilinger Entanglement
• Monogamy of nonlocal quantum correlations
• Quantum communication complexity protocol with two entangled qutrits
• Quantum secure direct communication network with Einstein-Podolsky-Rosen pairs
• Quantum Conference Key Agreement: A Review
• Circular quantum secret sharing
• Quantum entanglement can be simulated without communication
• Monogamy inequalities for the EPR paradox and quantum steering
• An efficient quantum secret sharing scheme with Einstein-Podolsky-Rosen Pairs
• Family of Zeilinger-Horne-Greenberger "W" states lead to stronger nonclassicality than family of Greenberger-Horne-Zeilinger "GHZ" states
• Do all pure entangled states violate Bell's inequalities for correlation functions?
• Quantum cloning with an optical fiber amplifier
• Tripartite entanglement versus tripartite nonlocality in 3-qubit GHZ-class states
• Minimum detection efficiency for a loophole-free atom-photon Bell experiment
• Monogamy of Correlations vs. Monogamy of Entanglement
• Generation of GHZ entangled states of photons in multiple cavities via a superconducting qutrit or an atom through resonant interaction
• Bound entanglement maximally violating Bell inequalities: quantum entanglement is not equivalent to quantum security
• Monogamy of Bell's inequality violations in non-signaling theories
• Tight multipartite Bell's inequalities involving many measurement settings
• Entanglement swapping of noisy states: A kind of superadditivity in nonclassicality
• Correlation complementarity yields Bell monogamy relations
• Violation of local realism vs detection efficiency
• Unified criterion for security of secret sharing in terms of violation of Bell inequality
• Quantum Key Distribution between N partners: optimal eavesdropping and Bell's inequalities
• Reexamination of a multisetting Bell inequality for qudits
• Bounds on Quantum Correlations in Bell Inequality Experiments
• Detecting faked continuous variable entanglement using one-sided device-independent entanglement witnesses
• Secret sharing of quantum information via entanglement swapping in cavity QED
• Sharing quantum nonlocality and genuine nonlocality with independent observables
• Volume monogamy of quantum steering ellipsoids for multi-qubit systems
• Detection of genuine tripartite entanglement by multiple sequential observers
• Necessary and sufficient detection efficiency for the Mermin inequalities
• Svetlichny's inequality and genuine tripartite nonlocality in three-qubit pure states
• Understanding nature from experimental observations: a theory independent test for gravitational decoherence
• Sharing of tripartite nonlocality by multiple observers measuring sequentially at one side
• Superluminal influences, hidden variables, and signaling
• Device-Independent Secret Sharing and a Stronger Form of Bell Nonlocality
• Genuine Einstein-Podolsky-Rosen steering of three-qubit states by multiple sequential observers
• Multisetting Bell-type inequalities for detecting genuine tripartite entanglement
• Anisotropic invariance and the distribution of quantum correlations
• Multipartite secret key distillation and bound entanglement
• Hawking effect can generate physically inaccessible genuine tripartite nonlocality
• Experimenter's Freedom in Bell's Theorem and Quantum Cryptography
• Weaker entanglement guarantees stronger entanglement
• Measure and detection of genuine multipartite entanglement for tripartite systems
• Genuine N-partite entanglement and distributed relationships in the background of dilation black holes
• Bell inequalities and distillability in N-quantum-bit systems
• Greenberger-Horne-Zeilinger Nonlocality in Arbitrary Even Dimensions
• Preparation of n-qubit Greenberger-Horne-Zeilinger entangled states in cavity QED: An approach with tolerance to nonidentical qubit-cavity coupling constants
• Rotational invariance as an additional constraint on local realism
• Trade-off Relations of Bell Violations among Pairwise Qubit Systems
• Testing for Multipartite Quantum Nonlocality Using Functional Bell Inequalities
• Two-Setting Bell Inequalities for Many Qubits
• Two computable sets of multipartite entanglement measures
• Entanglement Enhances Security in Secret Sharing
• Detecting genuine multipartite entanglement of pure states with bipartite correlations
• NMR Analog of Bell's Inequalities Violation Test
• Shareability of Quantum Steering and its Relation with Entanglement
• Local Realism of Macroscopic Correlations
• Converting quantum coherence to genuine multipartite entanglement and nonlocality
• Nonlocality of All Quantum Networks
• Classification and monogamy of three-qubit biseparable Bell correlations
• Bell inequality with an arbitrary number of settings and its applications
• Greenberger-Horne-Zeilinger theorem for N qudits
• Multi-setting Greenberger-Horne-Zeilinger theorem
• Entropy bounds for multiparty device-independent cryptography
• Bell inequalities for multipartite qubit quantum systems and their maximal violation
• Tight upper bound for the maximal quantum value of the Svetlichny operators
• One-step generation of multi-atom Greenberger-Horne-Zeilinger states in separate cavities via adiabatic passage
• Quantum correlations and the neutrino mass degeneracy problem
• Activation of monogamy in non-locality using local contextuality
• Quantum correlations in neutrino oscillations in curved spacetime
• Parts and Wholes. An Inquiry into Quantum and Classical Correlations
• Quantification of quantum correlation of ensemble of states
• Closing the detection loophole in multipartite Bell tests using GHZ states
• Deterministic and Efficient Quantum Cryptography Based on Bell's Theorem
• Boosting device-independent cryptography with tripartite nonlocality
• Monogamy Relation in No-disturbance Theories
• Violation of Bell's inequalities implies distillability for N qubits
• Multipartite Nonlocality as a Resource and Quantum Correlations Having Indefinite Causal Order
• Bell monogamy relations in arbitrary qubit networks
• Efficient Test to Demonstrate Genuine Three Particle Nonlocality
• On Series of Multiqubit Bell's Inequalities
• Compact Bell inequalities for multipartite experiments
• Enhancing robustness of multiparty quantum correlations using weak measurement
• A Toy Model of the Information Paradox in Empty Space
• Tight Correlation-Function Bell Inequality for Multipartite $d$-Dimensional System
• More non-locality in the three-qubit Greenberger-Horne-Zeilinger state
• Conference Key Agreement and Quantum Sharing of Classical Secrets with Noisy GHZ States
• Lower bounds on violation of monogamy inequality for quantum correlation measures
• Multipartite quantum cryptography based on the violation of Svetlichny's inequality
• Usefulness of classical communication for local cloning of entangled states
• Combinatorial Approaches in Quantum Information Theory
• Information complementarity in multipartite quantum states and security in cryptography
• Non-distillable entanglement guarantees distillable entanglement
• Small violations of full correlation Bell inequalities for multipartite pure random states
• Ascertaining the Uncertainty Relations via Quantum Correlations
• Local marginals ameliorate device independent witnessing of genuine entanglement
• Creating and observing N-partite entanglement with atoms
• Tsallis entropy, $q$-expectation and constraints on three-party quantum correlations
• Monogamy relations for nonclassical correlations of multi-qubit states
• Trade-off relations of l_1-norm coherence for multipartite systems
• Interplay of nonlocality and incompatibility breaking qubit channels
• Unmasking the Polygamous Nature of Quantum Nonlocality
• Tight upper bound on the quantum value of Svetlichny operators under local filtering and hidden genuine nonlocality
• Experimental Verification of Anisotropic Invariance for Three-Qubit States
• $(n,m,p)$-type quantum network configuration and its nonlocality
• Note on Product-Form Monogamy Relations for Nonlocality and Other Correlation Measures
• Two-setting multi-site Bell inequalities for loophole-free tests with up to 50% loss
• Several Trade off Features of Quantum Steering in Distributed Scenario
• Undetectable Werner states using linear Bell inequalities
• Restrictions on shareability of classical correlations for random multipartite quantum states
• Homogenization of Bell inequalities
• Sufficient condition for nonexistence of symmetric extension of qudits using Bell inequalities
• A monogamy paradox in empty flat space
• Generalized entropic uncertainty relation and non-classicality in Schwarzschild black hole
• Nonlocality of Quantum States can be Transitive
• Experimental demonstration of the Bell-type inequalities for four qubit Dicke state using IBM Quantum Processing Units
• Correlations, Bell Inequality Violation & Quantum Entanglement
• Impact of imperfect measurements on multi-party quantum key distribution
• Detection of Genuine Multipartite Entanglement in Arbitrary Multipartite systems
• Generalized product-form monogamy relations in multi-qubit systems
• Loss-tolerant hybrid measurement test of CHSH inequality with weakly amplified N00N states
• Multipartite entanglement vs nonlocality for two families of $N$-qubit states
• Detection of genuine multipartite entanglement based on local sum uncertainty relations
• The Richness of Bell Nonlocality: Generalized Bell Polygamy and Hyper-Polygamy