Test of Local Realism into the Past without Detection and Locality Loopholes.

Inspired by the recent remarkable progress in the experimental test of local realism, we report here such a test that achieves an efficiency greater than (78%)^{2} for entangled photon pairs separated by 183 m. Further utilizing the randomness in cosmic photons from pairs of stars on the opposite sides of the sky for the measurement setting choices, we not only close the locality and detection loopholes simultaneously, but also test the null hypothesis against local hidden variable mechanisms for events that took place 11 years ago (13 orders of magnitude longer than previous experiments). After considering the bias in measurement setting choices, we obtain an upper bound on the p value of 7.87×10^{-4}, which clearly indicates the rejection with high confidence of potential local hidden variable models. One may further push the time constraint on local hidden variable mechanisms deep into the cosmic history by taking advantage of the randomness in photon emissions from quasars with large aperture telescopes.

[1]  Jan-AAke Larsson,et al.  Loopholes in Bell inequality tests of local realism , 2014, 1407.0363.

[2]  K. Ferrière.  The interstellar environment of our galaxy , 2001, astro-ph/0106359.

[3]  Diederik Aerts,et al.  Operational Quantum Mechanics, Quantum Axiomatics and Quantum Structures , 2008, Compendium of Quantum Physics.

[4]  Marissa Giustina,et al.  Requirements for a loophole-free photonic Bell test using imperfect setting generators , 2014, 1411.4787.

[5]  J. Fan,et al.  Demonstrating high symmetric single-mode single-photon heralding efficiency in spontaneous parametric downconversion , 2013, CLEO: 2013.

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

[7]  46 , 2015, Slow Burn.

[8]  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.

[9]  A. Falcon.  Physics I.1 , 2018 .

[10]  Shaohua Zhang,et al.  Random Number Generation with Cosmic Photons. , 2016, Physical review letters.

[11]  Friedel Weinert,et al.  Compendium of Quantum Physics , 2009 .

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

[13]  F. V. Leeuwen.  Validation of the new Hipparcos reduction , 2007, 0708.1752.

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

[15]  Jason Gallicchio,et al.  Testing Bell's inequality with cosmic photons: closing the setting-independence loophole. , 2013, Physical review letters.

[16]  A. R. Rao.  Annual Review of Astronomy and Astrophysics , 2015 .

[17]  H. Weinfurter,et al.  Violation of Bell's Inequality under Strict Einstein Locality Conditions , 1998, quant-ph/9810080.

[18]  Emanuel Knill,et al.  Asymptotically optimal data analysis for rejecting local realism , 2011 .

[19]  Nicolas Gisin,et al.  Arbitrarily small amount of measurement independence is sufficient to manifest quantum nonlocality. , 2014, Physical review letters.

[20]  D. Frail,et al.  The galactic distribution of free electrons , 1991, Nature.

[21]  A. Fine.  Hidden Variables, Joint Probability, and the Bell Inequalities , 1982 .

[22]  Xiongfeng Ma,et al.  High speed device-independent quantum random number generation without detection loophole , 2017, 2018 Conference on Lasers and Electro-Optics (CLEO).

[23]  Dong He,et al.  Satellite-based entanglement distribution over 1200 kilometers , 2017, Science.

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

[25]  Umesh Vazirani,et al.  Fully device-independent quantum key distribution. , 2012, 1210.1810.

[26]  Lajos Diósi,et al.  A universal master equation for the gravitational violation of quantum mechanics , 1987 .

[27]  M. Hall.  Local deterministic model of singlet state correlations based on relaxing measurement independence. , 2010, Physical review letters.

[28]  A. Zeilinger,et al.  Significant-Loophole-Free Test of Bell's Theorem with Entangled Photons. , 2015, Physical review letters.

[29]  Nicolas Gisin,et al.  Retinal and post-retinal contributions to the quantum efficiency of the human eye revealed by electrical neuroimaging , 2012, Front. Psychol..

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

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

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

[33]  R. Penrose.  On Gravity's role in Quantum State Reduction , 1996 .

[34]  Emanuel Knill,et al.  Efficient quantification of experimental evidence against local realism , 2013, 1303.7464.

[35]  P. Pearle.  Hidden-Variable Example Based upon Data Rejection , 1970 .

[36]  L. Hardy.  Bell Inequalities with Retarded Settings , 2015, 1508.06900.

[37]  V. Scarani,et al.  Device-independent quantum key distribution secure against collective attacks , 2009, 0903.4460.

[38]  C. Ross.  Found , 1869, The Dental register.

[39]  J. Bell,et al.  Speakable and Unspeakable in Quantum Mechanics: Preface to the first edition , 2004 .

[40]  H. Weinfurter,et al.  Heralded Entanglement Between Widely Separated Atoms , 2012, Science.

[41]  S. Massar,et al.  Nonlocal correlations as an information-theoretic resource , 2004, quant-ph/0404097.

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

[43]  Thomas de Quincey.  [C] , 2000, The Works of Thomas De Quincey, Vol. 1: Writings, 1799–1820.

[44]  T. Maudlin.  Quantum non-locality and relativity : metaphysical intimations of modern physics , 1996 .

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

[46]  O. William.  Journal Of The American Statistical Association V-28 , 1932 .

[47]  Antonio-José Almeida,et al.  NAT , 2019, Springer Reference Medizin.

[48]  T. Wilson,et al.  Abundances in the interstellar medium , 1992 .

[49]  Bo Liu,et al.  Cosmic Bell Test: Measurement Settings from Milky Way Stars. , 2016, Physical review letters.

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

[51]  Jian-Wei Pan,et al.  Ground-to-satellite quantum teleportation , 2017, Nature.

[52]  L. Zhang,et al.  NbN superconducting nanowire single photon detector with efficiency over 90% at 1550 nm wavelength operational at compact cryocooler temperature , 2016, Science China Physics, Mechanics & Astronomy.

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

[54]  E. Jeffrey,et al.  Photon arrival time quantum random number generation , 2009 .

[55]  STAT , 2019, Springer Reference Medizin.

[56]  A. Kent.  Causal quantum theory and the collapse locality loophole (7 pages) , 2002, quant-ph/0204104.

[57]  Yaoyun Shi,et al.  N ov 2 01 4 Universal security for randomness expansion , 2014 .

[58]  Pavel Sekatski,et al.  Towards quantum experiments with human eyes as detectors based on cloning via stimulated emission. , 2009, Physical review letters.

[59]  D. Kaiser,et al.  Astronomical random numbers for quantum foundations experiments , 2017, 1706.02276.

[60]  James E. Jarrett,et al.  On the Physical Significance of the Locality Conditions in the Bell Arguments , 1984 .

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

[62]  Zach DeVito,et al.  Opt , 2017 .

[63]  H. Weinfurter,et al.  Event-Ready Bell Test Using Entangled Atoms Simultaneously Closing Detection and Locality Loopholes. , 2016, Physical review letters.

[64]  Adrian Kent,et al.  No signaling and quantum key distribution. , 2004, Physical review letters.

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

[66]  E. Knill,et al.  A strong loophole-free test of local realism , 2015, 2016 Conference on Lasers and Electro-Optics (CLEO).

[67]  S. Popescu,et al.  Quantum nonlocality as an axiom , 1994 .

[68]  Alain Aspect,et al.  Speakable and Unspeakable in Quantum Mechanics by J. S. Bell , 2004 .

[69]  Tony Leggett,et al.  Speakable and Unspeakable in Quantum Mechanics: Collected Papers on Quantum Philosophy , 1988 .

[70]  N. C. Menicucci,et al.  Fundamental quantum optics experiments conceivable with satellites—reaching relativistic distances and velocities , 2012, 1206.4949.

[71]  Lev Vaidman,et al.  Tests of Bell inequalities , 2001, quant-ph/0107057.

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

[73]  Rodrigo Gallego,et al.  Full randomness from arbitrarily deterministic events , 2012, Nature Communications.

[74]  Stefano Pironio,et al.  Random numbers certified by Bell’s theorem , 2009, Nature.

[75]  N. Gisin,et al.  How much measurement independence is needed to demonstrate nonlocality? , 2010, Physical review letters.

[76]  Jian-Wei Pan,et al.  Bell Test over Extremely High-Loss Channels: Towards Distributing Entangled Photon Pairs between Earth and the Moon. , 2017, Physical review letters.

[77]  A. Peres.  All the Bell Inequalities , 1998, quant-ph/9807017.

[78]  W. Hoeffding.  Probability Inequalities for sums of Bounded Random Variables , 1963 .

[79]  Aaron J. Miller,et al.  Detection-loophole-free test of quantum nonlocality, and applications. , 2013, Physical review letters.

[80]  Roger Colbeck,et al.  Free randomness can be amplified , 2011, Nature Physics.

[81]  M. Hall,et al.  Relaxed Bell inequalities and Kochen-Specker theorems , 2011, 1102.4467.

[82]  F. Michel.  Theory of pulsar magnetospheres , 1982 .