Spooky predictions at a distance: reality, complementarity and contextuality in quantum theory

This article brings together reality, complementarity and contextuality in quantum theory. It clarifies Bohr's concept of complementarity by considering the non-realist epistemology and the corresponding interpretations of quantum mechanics, based in the concept of ‘reality without realism’. Finally, as its main novel contribution, it establishes the connections between complementarity and contextuality. This article is part of the theme issue ‘Contextuality and probability in quantum mechanics and beyond’.

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

[2]  W. Heisenberg.  A quantum-theoretical reinterpretation of kinematic and mechanical relations , 1925 .

[3]  A. Khrennikov.  Demystification of quantum entanglement , 2009, 0905.4791.

[4]  Peter J. Riggs,et al.  QUANTUM CAUSALITY , 2010 .

[5]  A. Zeilinger,et al.  Speakable and Unspeakable in Quantum Mechanics , 1989 .

[6]  R. Spekkens.  Contextuality for preparations, transformations, and unsharp measurements , 2004, quant-ph/0406166.

[7]  J. D. Trimmer,et al.  THE PRESENT SITUATION IN QUANTUM MECHANICS: A TRANSLATION OF SCHR6DINGER'S "CAT PARADOX" PAPER , 2014 .

[8]  Andrei Khrennikov,et al.  Reality Without Realism: On the Ontological and Epistemological Architecture of Quantum Mechanics , 2015 .

[9]  A. Winter,et al.  Graph-theoretic approach to quantum correlations. , 2014, Physical review letters.

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

[11]  W. Bean.  Physics and Philosophy, the Revolution in Modern Science. , 1959 .

[12]  A. Cabello.  Interpretations of quantum theory: A map of madness , 2015, 1509.04711.

[13]  Ehtibar N. Dzhafarov,et al.  Contextuality-by-Default: A Brief Overview of Ideas, Concepts, and Terminology , 2015, QI.

[14]  Scott Aaronson,et al.  Quantum Computing since Democritus , 2013 .

[15]  A. Zeilinger,et al.  Going Beyond Bell’s Theorem , 2007, 0712.0921.

[16]  James T. Cushing,et al.  Philosophical Consequences of Quantum Theory Reflections on Bell's Theorem , 1989 .

[17]  Arkady Plotnitsky.  The Principles of Quantum Theory, From Planck's Quanta to the Higgs Boson , 2016 .

[18]  Lucien Hardy,et al.  A formalism-local framework for general probabilistic theories, including quantum theory , 2010, Mathematical Structures in Computer Science.

[19]  N. David Mermin,et al.  An introduction to QBism with an application to the locality of quantum mechanics , 2013, 1311.5253.

[20]  A. Shimony,et al.  Bell’s theorem without inequalities , 1990 .

[21]  Arkady Plotnitsky,et al.  Epistemology and Probability: Bohr, Heisenberg, Schrödinger, and the Nature of Quantum-Theoretical Thinking , 2009 .

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

[23]  Arkady Plotnitsky,et al.  “The Heisenberg Method”: Geometry, Algebra, and Probability in Quantum Theory , 2018, Entropy.

[24]  Gerard 't Hooft.  Determinism in Free Bosons , 2001 .

[25]  Samson Abramsky,et al.  The sheaf-theoretic structure of non-locality and contextuality , 2011, 1102.0264.

[26]  Giulio Chiribella,et al.  Quantum Theory from First Principles - An Informational Approach , 2017 .

[27]  L. Hardy,et al.  Nonlocality for two particles without inequalities for almost all entangled states. , 1993, Physical review letters.

[28]  R. Werner.  Comment on ‘What Bell did’ , 2014 .

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

[30]  J. Wheeler.  Information, physics, quantum: the search for links , 1999 .

[31]  Č. Brukner.  Quantum causality , 2014, Nature Physics.

[32]  B G Sidharth,et al.  Law without Law , 2007, 0710.3900.

[33]  W. Heisenberg.  The Physical Principles of the Quantum Theory , 1930 .