A Critic Looks at QBism

This chapter comments on that by Chris Fuchs on qBism. It presents some mild criticisms of this view, some based on the EPR and Wigner’s friend scenarios, and some based on the quantum theory of measurement. A few alternative suggestions for implementing a subjectivist interpretation of probability in quantum mechanics conclude the chapter.

[1]  David Deutsch.  Quantum theory of probability and decisions , 1999, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[2]  W. Myrvold,et al.  Everett and evidence , 2008 .

[3]  Weber,et al.  Unified dynamics for microscopic and macroscopic systems. , 1986, Physical review. D, Particles and fields.

[4]  Jeffrey A. Barrett,et al.  The Everett interpretation of quantum mechanics : collected works 1955-1980 with commentary , 2012 .

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

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

[7]  Guido Bacciagaluppi,et al.  The Role of Decoherence in Quantum Mechanics , 2012 .

[8]  P. Kleingeld,et al.  The Stanford Encyclopedia of Philosophy , 2013 .

[9]  Antony Valentini,et al.  Time scales for dynamical relaxation to the Born rule , 2011, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[10]  C. Hoefer.  The Third Way on Objective Probability: A Sceptic's Guide to Objective Chance , 2007 .

[11]  Roman Frigg,et al.  Probability in GRW Theory , 2007 .

[12]  D. Lewis.  A Subjectivist’s Guide to Objective Chance , 1980 .

[13]  A. Kent,et al.  Many worlds? : Everett, quantum theory, and reality , 2010 .

[14]  Hilary Greaves,et al.  Understanding Deutsch's probability in a deterministic multiverse , 2003, quant-ph/0312136.

[15]  B. Hiley,et al.  The Undivided Universe: An Ontological Interpretation of Quantum Theory , 1994 .

[16]  R. Omnes.  Decoherence and Ontology , 2019, Synthese Library.

[17]  Pearle,et al.  Combining stochastic dynamical state-vector reduction with spontaneous localization. , 1989, Physical review. A, General physics.

[18]  H. Price.  Decisions, Decisions, Decisions: Can Savage Salvage Everettian Probability? , 2008, 0802.1390.

[19]  L. Vaidman.  On schizophrenic experiences of the neutron or why we should believe in the many‐worlds interpretation of quantum theory , 1996, quant-ph/9609006.

[20]  P. Holland,et al.  The Quantum Theory of Motion: An Account of the de Broglie-Bohm Causal Interpretation of Quantum Mechanics , 1993 .

[21]  A. Valentini.  Signal-locality, uncertainty, and the subquantum H-theorem. II , 1991 .

[22]  G. Bacciagaluppi.  Collapse Theories as Beable Theories , 2010 .

[23]  Guido Bacciagaluppi,et al.  Quantum Theory at the Crossroads: Reconsidering the 1927 Solvay Conference , 2009 .

[24]  Roderich Tumulka,et al.  What Is Bohmian Mechanics , 2001, Compendium of Quantum Physics.

[25]  A. Gleason.  Measures on the Closed Subspaces of a Hilbert Space , 1957 .

[26]  David Wallace,et al.  How to Prove the Born Rule , 2010 .

[27]  David Wallace.  Quantum Probability from Subjective Likelihood: improving on Deutsch's proof of the probability rule , 2003 .

[28]  D. Dürr,et al.  Quantum equilibrium and the origin of absolute uncertainty , 1992, quant-ph/0308039.

[29]  Science and Ultimate Reality: The Everett interpretation of quantum mechanics , 2004 .

[30]  G. Bacciagaluppi.  The statistical interpretation according to Born and Heisenberg , 2008 .

[31]  S. Goldstein,et al.  On the Common Structure of Bohmian Mechanics and the Ghirardi–Rimini–Weber Theory , 2006, The British Journal for the Philosophy of Science.

[32]  Local Measurements of Nonlocal Observables and the Relativistic Reduction Process , 2000, quant-ph/0003149.

[33]  P. Pearle.  Reduction of the state vector by a nonlinear Schrödinger equation , 1976 .

[34]  Antony Valentini,et al.  Inflationary Cosmology as a Probe of Primordial Quantum Mechanics , 2008, 0805.0163.

[35]  Antony Valentini,et al.  Signal-locality, uncertainty, and the subquantum H-theorem. I , 1990 .