Experimental tests of multiplicative Bell inequalities and the fundamental role of local correlations

The authors explore the limits of quantum and classical correlations using Multiplicative Bell inequalities, that reveal the interplay between local and non-local correlations.

[1]  Eliahu Cohen,et al.  On the Significance of the Quantum Mechanical Covariance Matrix , 2018, Entropy.

[2]  E. Cohen,et al.  Bounds on nonlocal correlations in the presence of signaling and their application to topological zero modes , 2018, New Journal of Physics.

[3]  H. Hofmann.  Local measurement uncertainties impose a limit on nonlocal quantum correlations , 2018, Physical Review A.

[4]  A. Zeilinger,et al.  Bell violation using entangled photons without the fair-sampling assumption , 2012, Nature.

[5]  Matison,et al.  Experimental Test of Local Hidden-Variable Theories , 1972 .

[6]  P. Grangier,et al.  Experimental Tests of Realistic Local Theories via Bell's Theorem , 1981 .

[7]  M. Genovese.  Research on hidden variable theories: A review of recent progresses , 2005, quant-ph/0701071.

[8]  C. Monroe,et al.  Experimental violation of a Bell's inequality with efficient detection , 2001, Nature.

[9]  Avishy Carmi,et al.  In Praise of Quantum Uncertainty , 2020, Entropy.

[10]  S. Wehner,et al.  Loophole-free Bell inequality violation using electron spins separated by 1.3 kilometres , 2015, Nature.

[11]  B. S. Cirel'son.  Quantum generalizations of Bell's inequality , 1980 .

[12]  Armando Fernández-Prieto,et al.  Classical Physics and the Bounds of Quantum Correlations. , 2015, Physical review letters.

[13]  Rupert Ursin,et al.  Cosmic Bell Test Using Random Measurement Settings from High-Redshift Quasars. , 2018, Physical review letters.

[14]  J. Bell.  On the Einstein-Podolsky-Rosen paradox , 1964 .

[15]  M. Horne,et al.  Experimental Consequences of Objective Local Theories , 1974 .

[16]  R. Boyd,et al.  Entanglement: quantum or classical? , 2019, Reports on progress in physics. Physical Society.

[17]  Radhika Rangarajan,et al.  Optimizing type-I polarization-entangled photons. , 2009, Optics express.

[18]  Eberhard,et al.  Background level and counter efficiencies required for a loophole-free Einstein-Podolsky-Rosen experiment. , 1993, Physical review. A, Atomic, molecular, and optical physics.

[19]  Bar Y. Peled,et al.  Multiplicative Bell inequalities , 2019, Physical Review A.

[20]  Danko D. Georgiev,et al.  Double Slit with an Einstein–Podolsky–Rosen Pair , 2020, Applied Sciences.

[21]  A. Shimony,et al.  Proposed Experiment to Test Local Hidden Variable Theories. , 1969 .

[22]  Eliahu Cohen,et al.  Relativistic independence bounds nonlocality , 2018, Science Advances.

[23]  G. Roger,et al.  Experimental Test of Bell's Inequalities Using Time- Varying Analyzers , 1982 .

[24]  T. V'ertesi,et al.  Quantum bounds on Bell inequalities , 2008, 0810.1615.

[25]  T. Gerrits,et al.  Challenging local realism with human choices , 2018, Nature.

[26]  Albert Einstein,et al.  Can Quantum-Mechanical Description of Physical Reality Be Considered Complete? , 1935 .

[27]  Erik Lucero,et al.  Violation of Bell's inequality in Josephson phase qubits , 2009, Nature.

[28]  P. Grangier,et al.  Experimental Realization of Einstein-Podolsky-Rosen-Bohm Gedankenexperiment : A New Violation of Bell's Inequalities , 1982 .

[29]  Rupert Ursin,et al.  Violation of local realism with freedom of choice , 2008, Proceedings of the National Academy of Sciences.