Autonomy All the Way Down: Systems and Dynamics in Quantum Bayesianism

Quantum Bayesianism ("QBism") has been put forward as an approach to quantum theory that avoids foundational problems by altogether disavowing the objective existence of quantum states. It is shown that QBism suffers its own versions of the familiar foundational problems, and that these QBist versions are illuminating not just for QBism, but for more traditional foundational approaches as well.

[1]  Wojciech H. Zurek,et al.  Decoherence, einselection and the existential interpretation (the rough guide) , 1998, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[2]  H. Everett "Relative State" Formulation of Quantum Mechanics , 1957 .

[3]  W. Zurek Pointer Basis of Quantum Apparatus: Into What Mixture Does the Wave Packet Collapse? , 1981 .

[4]  Simon Kochen,et al.  The Free Will Theorem , 2006 .

[5]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[6]  S. Pinker How the Mind Works , 1999, Philosophy after Darwin.

[7]  H. S. Allen The Quantum Theory , 1928, Nature.

[8]  C. Fuchs,et al.  A Quantum-Bayesian Route to Quantum-State Space , 2009, 0912.4252.

[9]  R. Giere The Dappled World: A Study of the Boundaries of Science , 2003 .

[10]  A. Tversky,et al.  The framing of decisions and the psychology of choice. , 1981, Science.

[11]  Nicolas Gisin,et al.  Can Relativity be Considered Complete? From Newtonian Nonlocality to Quantum Nonlocality and Beyond , 2005 .

[12]  E. Joos,et al.  The emergence of classical properties through interaction with the environment , 1985 .

[13]  H. Zeh On the interpretation of measurement in quantum theory , 1970 .

[14]  John William Nicholson,et al.  The Constitution of Atoms and Molecules , 1914, Nature.

[15]  I. Stamatescu,et al.  Decoherence and the Appearance of a Classical World in Quantum Theory , 1996 .

[16]  A. Tversky,et al.  Judgment under Uncertainty , 1982 .

[17]  Edward F. Moore,et al.  Gedanken-Experiments on Sequential Machines , 1956 .

[18]  N. Mermin,et al.  The Ithaca interpretation of quantum mechanics , 1996, quant-ph/9609013.

[19]  J. Bub Why the quantum , 2004, quant-ph/0402149.

[20]  Nicolaas P. Landsman Decoherence and the quantum-to-classical transition , 2009 .

[21]  C. Fuchs,et al.  Quantum probabilities as Bayesian probabilities , 2001, quant-ph/0106133.

[22]  A. Tversky,et al.  Judgment under Uncertainty: Heuristics and Biases , 1974, Science.

[23]  Wojciech Hubert Zurek,et al.  Relative States and the Environment: Einselection, Envariance, Quantum Darwinism, and the Existential Interpretation , 2007, 0707.2832.

[24]  C. Fuchs,et al.  Unknown Quantum States: The Quantum de Finetti Representation , 2001, quant-ph/0104088.

[25]  David Wallace,et al.  Philosophy of Quantum Mechanics , 2008 .

[26]  Max Tegmark Many Worlds in Context , 2009, 0905.2182.

[27]  David Poulin,et al.  Environment as a Witness: Selective Proliferation of Information and Emergence of Objectivity in a Quantum Universe , 2004 .

[28]  Toward a quantum theory of observation , 1973, quant-ph/0306151.

[29]  N. P. Landsman Between classical and quantum , 2005 .

[30]  Robert B. Griffiths,et al.  A Consistent Quantum Ontology , 2011, 1105.3932.

[31]  Refractor Vision , 2000, The Lancet.

[32]  T. Konrad,et al.  A remark on Fuchs' bayesian interpretation of quantum mechanics , 2008 .

[33]  R. Griffiths Types of quantum information , 2007, 0707.3752.

[34]  C. Fuchs QBism, the Perimeter of Quantum Bayesianism , 2010, 1003.5209.

[35]  Maximilian Schlosshauer,et al.  Experimental motivation and empirical consistency in minimal no-collapse quantum mechanics , 2006 .

[36]  H. D. Zeh Roots and Fruits of Decoherence , 2006 .

[37]  David Wallace,et al.  The Quantum Measurement Problem: State of Play , 2007, 0712.0149.

[38]  N. Bohr The Quantum Postulate and the Recent Development of Atomic Theory , 1928, Nature.

[39]  Christopher G. Timpson,et al.  Quantum Bayesianism: A study , 2008, 0804.2047.

[40]  David Wallace,et al.  Everett and structure , 2001 .

[41]  J. Neumann Mathematische grundlagen der Quantenmechanik , 1935 .

[42]  W. Zurek Decoherence, einselection, and the quantum origins of the classical , 2001, quant-ph/0105127.

[43]  W. Zurek,et al.  Quantum Darwinism: Entanglement, branches, and the emergent classicality of redundantly stored quantum information , 2005, quant-ph/0505031.

[44]  David Poulin,et al.  Objective properties from subjective quantum states: environment as a witness. , 2004, Physical review letters.

[45]  Carlton M. Caves,et al.  Subjective probability and quantum certainty , 2006 .

[46]  Simon Kochen,et al.  The Strong Free Will Theorem , 2008, 0807.3286.

[47]  C. Fuchs Quantum Mechanics as Quantum Information (and only a little more) , 2002, quant-ph/0205039.

[48]  Chris Fields,et al.  Classical system boundaries cannot be determined within quantum Darwinism , 2010, 1008.0283.

[49]  Chris Fields If Physics Is an Information Science, What Is an Observer? , 2012, Inf..

[50]  W. Zurek Environment-induced superselection rules , 1982 .

[51]  D. Deutsch Quantum theory, the Church–Turing principle and the universal quantum computer , 1985, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[52]  Simon Friederich,et al.  How to spell out the epistemic conception of quantum states , 2011, 1101.1975.

[53]  Rolf Landauer,et al.  Information is a physical entity , 1999 .

[54]  Ruediger Schack,et al.  Bayesian Conditioning, the Reflection Principle, and Quantum Decoherence ∗ , 2011, 1103.5950.

[55]  W. Zurek Quantum Darwinism , 2009, 0903.5082.

[56]  Chris Fields,et al.  Quantum Darwinism Requires an Extra-Theoretical Assumption of Encoding Redundancy , 2010, 1003.5136.

[57]  O. Sacks,et al.  The Man Who Mistook His Wife for a Hat and Other Clinical Tales , 1985 .

[58]  B. Newell Judgment Under Uncertainty , 2013 .

[59]  M. Schlosshauer Decoherence, the measurement problem, and interpretations of quantum mechanics , 2003, quant-ph/0312059.

[60]  A. Galindo,et al.  Information and computation: Classical and quantum aspects , 2001, quant-ph/0112105.