Can Relativity be Considered Complete? From Newtonian Nonlocality to Quantum Nonlocality and Beyond

We review the long history of nonlocality in physics with special emphasis on the conceptual breakthroughs over the last few years. (This was written at the end of Einstein’s year 2005, after Jurg Frohlich invited me to talk at the Annus Mirabilis Symposium he organized et the ETH Zurich. I merely added a few relevant recent references.) Nowadays, for the first time, it is possible to study “nonlocality without signaling” from the outside, that is without all the quantum physics Hilbert space artillery. We emphasize that physics has always given a nonlocal description of Nature, except during a short 10 years gap, about from 1915 to 1925. We note that the very concept of “nonlocality without signaling” is totally foreign to the spirit of relativity, the only strictly local theory.

[1]  J. P. Woerdman,et al.  Plasmon-assisted transmission of entangled photons , 2002, Nature.

[2]  N. Gisin,et al.  Experimental test of nonlocal quantum correlation in relativistic configurations , 2000, quant-ph/0007009.

[3]  J. Bell,et al.  Speakable and Unspeakable in Quatum Mechanics , 1988 .

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

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

[6]  Werner,et al.  Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model. , 1989, Physical review. A, General physics.

[7]  J. Cirac,et al.  Experimental demonstration of quantum memory for light , 2004, Nature.

[8]  Buzek,et al.  Quantum copying: Beyond the no-cloning theorem. , 1996, Physical review. A, Atomic, molecular, and optical physics.

[9]  Ekert,et al.  Quantum cryptography based on Bell's theorem. , 1991, Physical review letters.

[10]  S. Wolf,et al.  Quantum Cryptography on Noisy Channels: Quantum versus Classical Key-Agreement Protocols , 1999, quant-ph/9902048.

[11]  Steven Weinberg,et al.  Dreams of a Final Theory , 1993 .

[12]  Nicolas Gisin,et al.  Energy-time entanglement preservation in plasmon-assisted light transmission. , 2004, Physical review letters.

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

[14]  Gilles Brassard,et al.  Cost of Exactly Simulating Quantum Entanglement with Classical Communication , 1999 .

[15]  D. Bacon,et al.  Communication cost of simulating Bell correlations. , 2003, Physical review letters.

[16]  H. Briegel,et al.  Experimental demonstration of five-photon entanglement and open-destination teleportation , 2004, Nature.

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

[18]  N. Gisin,et al.  Long-distance entanglement swapping with photons from separated sources , 2004, quant-ph/0409093.

[19]  Valerio Scarani,et al.  Does entanglement depend on the timing of the impacts at the beam splitters , 1997 .

[20]  E. Schrödinger Die gegenwärtige Situation in der Quantenmechanik , 1935, Naturwissenschaften.

[21]  Rarity,et al.  Violation of Bell's inequality over 4 km of optical fiber. , 1994, Physical review letters.

[22]  N J Cerf,et al.  Simulating maximal quantum entanglement without communication. , 2005, Physical review letters.

[23]  N. Gisin,et al.  A local hidden variable model of quantum correlation exploiting the detection loophole , 1999 .

[24]  Stefano Pironio,et al.  Nonlocal correlations as an information-theoretic resource (11 pages) , 2005 .

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

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

[27]  J. Rarity,et al.  Experimental violation of Bell's inequality based on phase and momentum. , 1990, Physical review letters.

[28]  O. Alibart,et al.  A photonic quantum information interface , 2005, Nature.

[29]  Gregor Weihs,et al.  Experimental nonlocality proof of quantum teleportation and entanglement swapping. , 2002, Physical review letters.

[30]  B. Hiley The Undivided Universe , 1993 .

[31]  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.

[32]  Michael Esfeld,et al.  Quantum entanglement and a metaphysics of relations , 2004 .

[33]  H. Häffner,et al.  Robust entanglement , 2005 .

[34]  N. Gisin,et al.  From Bell's theorem to secure quantum key distribution. , 2005, Physical review letters.

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

[36]  H. J. Kimble,et al.  Measurement-induced entanglement for excitation stored in remote atomic ensembles , 2005, Nature.

[37]  Nicolas Gisin,et al.  Quantum superposition and entanglement of mesoscopic plasmons , 2005, quant-ph/0512022.

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

[39]  Sophie Laplante,et al.  Simulating quantum correlations as a distributed sampling problem (9 pages) , 2005, quant-ph/0507120.

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

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

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

[43]  Jian-Wei Pan,et al.  Experimental free-space distribution of entangled photon pairs over 13 km: towards satellite-based global quantum communication. , 2005, Physical review letters.

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

[45]  C. Monroe,et al.  Observation of entanglement between a single trapped atom and a single photon , 2004, Nature.

[46]  N. Gisin,et al.  A relevant two qubit Bell inequality inequivalent to the CHSH inequality , 2003, quant-ph/0306129.

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

[48]  Shor,et al.  Simple proof of security of the BB84 quantum key distribution protocol , 2000, Physical review letters.

[49]  Michael Steiner,et al.  Towards quantifying non-local information transfer: finite-bit non-locality , 1999, quant-ph/9902014.

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

[51]  W Tittel,et al.  Distribution of time-bin entangled qubits over 50 km of optical fiber. , 2004, Physical review letters.

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

[53]  Valerio Scarani,et al.  An anomaly of non-locality , 2006, Quantum Inf. Comput..

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

[55]  N. Gisin Irreversible quantum dynamics and the Hilbert space structure of quantum kinematics , 1983 .

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

[57]  S. Massar,et al.  Efficient quantum key distribution secure against no-signalling eavesdroppers , 2006, quant-ph/0605246.

[58]  H. Weinfurter,et al.  Experimental Entanglement Swapping: Entangling Photons That Never Interacted , 1998 .

[59]  N. Gisin,et al.  General properties of nonsignaling theories , 2005, quant-ph/0508016.

[60]  M. Wolf,et al.  Quantum Entanglement: A Modern Perspective , 2003 .