Detection-loophole-free test of quantum nonlocality, and applications.

We present a source of entangled photons that violates a Bell inequality free of the "fair-sampling" assumption, by over 7 standard deviations. This violation is the first reported experiment with photons to close the detection loophole, and we demonstrate enough "efficiency" overhead to eventually perform a fully loophole-free test of local realism. The entanglement quality is verified by maximally violating additional Bell tests, testing the upper limit of quantum correlations. Finally, we use the source to generate "device-independent" private quantum random numbers at rates over 4 orders of magnitude beyond previous experiments.

[1]  E. Jeffrey,et al.  Phase-compensated ultra-bright source of entangled photons , 2005, 2005 Quantum Electronics and Laser Science Conference.

[2]  Ryan S. Bennink,et al.  Optimal collinear Gaussian beams for spontaneous parametric down-conversion , 2010, 1003.3810.

[3]  John M. Martinis,et al.  Demonstration of a low-noise near-infrared photon counter with multiphoton discrimination , 2003 .

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

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

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

[7]  N. Mermin.  The EPR Experiment—Thoughts about the “Loophole” a , 1986 .

[8]  Andrew G. White,et al.  Nonmaximally Entangled States: Production, Characterization, and Utilization , 1999, quant-ph/9908081.

[9]  E. Santos,et al.  Local realism has not been refuted by atomic cascade experiments , 1983 .

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

[11]  Luca Trevisan,et al.  Extractors and pseudorandom generators , 2001, JACM.

[12]  N. Gisin,et al.  Violation of Bell Inequalities by Photons More Than 10 km Apart , 1998, quant-ph/9806043.

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

[14]  Shih,et al.  New type of Einstein-Podolsky-Rosen-Bohm experiment using pairs of light quanta produced by optical parametric down conversion. , 1988, Physical review letters.

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

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

[17]  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.

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

[19]  Stefano Pironio,et al.  Security of practical private randomness generation , 2011, 1111.6056.

[20]  Shih,et al.  New high-intensity source of polarization-entangled photon pairs. , 1995, Physical review letters.

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

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

[23]  Vladimiro Sassone,et al.  Bulletin of the European Association for Theoretical Computer Science , 2005 .

[24]  Edo Waks,et al.  Ultra-bright source of polarization-entangled photons , 1999 .

[25]  N. Gisin,et al.  Bell inequality and the locality loophole: Active versus passive switches , 1999, quant-ph/9906049.

[26]  Ericka Stricklin-Parker,et al.  Ann , 2005 .

[27]  N. Gisin,et al.  Long-distance Bell-type tests using energy-time entangled photons , 1998, quant-ph/9809025.

[28]  宁北芳,et al.  疟原虫var基因转换速率变化导致抗原变异[英]／Paul H, Robert P, Christodoulou Z, et al//Proc Natl Acad Sci U S A , 2005 .

[29]  Christian Kurtsiefer,et al.  Experimentally faking the violation of Bell's inequalities. , 2011, Physical review letters.

[30]  Andrew G. Glen,et al.  APPL , 2001 .

[31]  Aaron J. Miller,et al.  Counting near-infrared single-photons with 95% efficiency. , 2008, Optics express.

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

[33]  S. Popescu,et al.  Nonlocality as an axiom , 1994 .

[34]  N. Bohr.  II - Can Quantum-Mechanical Description of Physical Reality be Considered Complete? , 1935 .

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

[36]  Serge Fehr,et al.  Security and Composability of Randomness Expansion from Bell Inequalities , 2011, ArXiv.

[37]  R. Rosenfeld.  Nature , 2009, Otolaryngology--head and neck surgery : official journal of American Academy of Otolaryngology-Head and Neck Surgery.

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

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

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

[41]  Richard Gill,et al.  Bell's inequality and the coincidence-time loophole , 2003, quant-ph/0312035.

[42]  Ou,et al.  Violation of Bell's inequality and classical probability in a two-photon correlation experiment. , 1988, Physical review letters.

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

[44]  Adrian Kent,et al.  Private randomness expansion with untrusted devices , 2010, 1011.4474.

[45]  Anindya De,et al.  Trevisan's Extractor in the Presence of Quantum Side Information , 2009, SIAM J. Comput..

[46]  Ronen Shaltiel,et al.  Recent Developments in Explicit Constructions of Extractors , 2002, Bull. EATCS.