Non locality, closing the detection loophole and communication complexity

Abstract

It is shown that the detection loophole which arises when trying to rule out local realistic theories as alternatives for quantum mechanics can be closed if the detection efficiency $\eta$ is larger than $\eta \ge d^{1/2}{2}^{-0.0035d}$ where $d$ is the dimension of the entangled system. Furthermore it is argued that this exponential decrease of the detector efficiency required to close the detection loophole is almost optimal. This argument is based on a close connection that exists between closing the detection loophole and the amount of classical communication required to simulate quantum correlation when the detectors are perfect.

4 pages Latex, minor typos corrected

Cited by in corpus (57)

• Bell nonlocality
• Non-locality and Communication Complexity
• Twisted Photons: New Quantum Perspectives in High Dimensions
• Research on Hidden Variable Theories: a review of recent progresses
• A Relevant Two Qubit Bell Inequality Inequivalent to the CHSH Inequality
• Loopholes in Bell Inequality Tests of Local Realism
• Closing the detection loophole in Bell experiments using qudits
• Quantum Pseudo-Telepathy
• Large violation of Bell inequalities with low entanglement
• Experimental estimation of the dimension of classical and quantum systems
• Dimension witnesses and quantum state discrimination
• Tailoring photonic entanglement in high-dimensional Hilbert spaces
• Operator Space theory: a natural framework for Bell inequalities
• Semi-device-independent bounds on entanglement
• Tight multipartite Bell's inequalities involving many measurement settings
• Detection Loophole in Bell experiments: How post-selected local correlations can look non-local
• Violation of local realism vs detection efficiency
• A Zoology of Bell inequalities resistant to detector inefficiency
• Unbounded violations of bipartite Bell Inequalities via Operator Space theory
• Lower bounds on information complexity via zero-communication protocols and applications
• Necessary and sufficient detection efficiency for the Mermin inequalities
• Optical implementation of Deutsch-Jozsa and Bernstein-Vazirani quantum algorithms in eight dimensions
• Minimum tomography of two entangled qutrits using local measurements of one-qutrit SIC-POVM
• Combinatorics and Quantum Nonlocality
• A Fabry-Perot like two-photon interferometer for high-dimensional time-bin entanglement
• Testing quantum nonlocality by generalized quasiprobability functions
• Multi-Party Pseudo-Telepathy
• Foundations of quantum theory and quantum information applications
• Device-independent quantum key distribution based on Bell inequalities with more than two inputs and two outputs
• Bell Inequalities From No-Signalling Distributions
• Exponentially decreasing critical detection efficiency for any Bell inequality
• Necessary detection efficiencies for secure quantum key distribution and bound randomness
• Intermediate states in quantum cryptography and Bell inequalities
• Hierarchy of Genuine Multipartite Quantum Correlations
• Graph-theoretic approach to Bell experiments with low detection efficiency
• The two dimensional spin and its resonance fringe
• The future of secure communications: device independence in quantum key distribution
• Robust Bell inequalities from communication complexity
• Classical and quantum partition bound and detector inefficiency
• Evidence-based certification of quantum dimensions
• Detection loophole in quantum causality and its countermeasures
• Bounding the detection efficiency threshold in Bell tests using multiple copies of the maximally entangled two-qubit state carried by a single pair of particles
• Self-testing tilted strategies for maximal loophole-free nonlocality
• Limit quantum efficiency for violation of Clauser-Horne Inequality for qutrits
• Multipartite Nonlocal Quantum Correlations Resistant to Imperfections
• Tight detection efficiency bounds of Bell tests in no-signaling theories
• Detection efficiency loophole in Pusey-Barrett-Rudolph theorem
• On Bell inequality violations with high-dimensional systems
• An unconditional experimental test of Nonclassicality
• Coincidence postselection for genuine multipartite nonlocality: Causal diagrams and threshold efficiencies
• Recasting Mermin's multi-player game into the framework of pseudo-telepathy
• The Role of Entanglement in Quantum Communication, and Analysis of the Detection Loophole
• Loophole-free Bell tests with randomly chosen subsets of measurement settings
• Quantum correlation generation capability of experimental processes
• On the impossibility of extracting classical randomness using a quantum computer
• Using Linear Programming to Construct Better Criteria for Closing the Detection Loophole in Epr Experiments
• Sequential device-independent certification of indefinite causal order