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Quantum Bayesianism

Each point in the Bloch ball is a possible quantum state for a qubit. In QBism, all quantum states are representations of personal probabilities.

In physics and the philosophy of physics, quantum Bayesianism is a collection of related approaches to the interpretation of quantum mechanics, the most prominent of which is QBism (pronounced "cubism"). QBism is an interpretation that takes an agent's actions and experiences as the central concerns of the theory. QBism deals with common questions in the interpretation of quantum theory about the nature of wavefunction superposition, quantum measurement, and entanglement.[1][2] According to QBism, many, but not all, aspects of the quantum formalism are subjective in nature. For example, in this interpretation, a quantum state is not an element of reality—instead, it represents the degrees of belief an agent has about the possible outcomes of measurements. For this reason, some philosophers of science have deemed QBism a form of anti-realism.[3][4] The originators of the interpretation disagree with this characterization, proposing instead that the theory more properly aligns with a kind of realism they call "participatory realism", wherein reality consists of more than can be captured by any putative third-person account of it.[5][6]

This interpretation is distinguished by its use of a subjective Bayesian account of probabilities to understand the quantum mechanical Born rule as a normative addition to good decision-making. Rooted in the prior work of Carlton Caves, Christopher Fuchs, and Rüdiger Schack during the early 2000s, QBism itself is primarily associated with Fuchs and Schack and has more recently been adopted by David Mermin.[7] QBism draws from the fields of quantum information and Bayesian probability and aims to eliminate the interpretational conundrums that have beset quantum theory. The QBist interpretation is historically derivative of the views of the various physicists that are often grouped together as "the" Copenhagen interpretation,[8][9] but is itself distinct from them.[9][10] Theodor Hänsch has characterized QBism as sharpening those older views and making them more consistent.[11]

More generally, any work that uses a Bayesian or personalist (a.k.a. "subjective") treatment of the probabilities that appear in quantum theory is also sometimes called quantum Bayesian. QBism, in particular, has been referred to as "the radical Bayesian interpretation".[12]

In addition to presenting an interpretation of the existing mathematical structure of quantum theory, some QBists have advocated a research program of reconstructing quantum theory from basic physical principles whose QBist character is manifest. The ultimate goal of this research is to identify what aspects of the ontology of the physical world make quantum theory a good tool for agents to use.[13] However, the QBist interpretation itself, as described in § Core positions, does not depend on any particular reconstruction.

  1. ^ Timpson, Christopher Gordon (2008). "Quantum Bayesianism: A study" (postscript). Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics. 39 (3): 579–609. arXiv:0804.2047. Bibcode:2008SHPMP..39..579T. doi:10.1016/j.shpsb.2008.03.006. S2CID 16775153.
  2. ^ Mermin, N. David (2012-07-01). "Commentary: Quantum mechanics: Fixing the shifty split". Physics Today. 65 (7): 8–10. Bibcode:2012PhT....65g...8M. doi:10.1063/PT.3.1618. ISSN 0031-9228.
  3. ^ Bub, Jeffrey (2016). Bananaworld: Quantum Mechanics for Primates. Oxford: Oxford University Press. p. 232. ISBN 978-0198718536.
  4. ^ Ladyman, James; Ross, Don; Spurrett, David; Collier, John (2007). Every Thing Must Go: Metaphysics Naturalized. Oxford: Oxford University Press. pp. 184. ISBN 9780199573097.
  5. ^ For "participatory realism", see, e.g.:
  6. ^ Cite error: The named reference :5 was invoked but never defined (see the help page).
  7. ^ Mermin, N. David (2014-03-27). "Physics: QBism puts the scientist back into science". Nature. 507 (7493): 421–423. doi:10.1038/507421a. PMID 24678539.
  8. ^ Tammaro, Elliott (2014-08-09). "Why Current Interpretations of Quantum Mechanics are Deficient". arXiv:1408.2093 [quant-ph].
  9. ^ a b Schlosshauer, Maximilian; Kofler, Johannes; Zeilinger, Anton (2013-08-01). "A snapshot of foundational attitudes toward quantum mechanics". Studies in History and Philosophy of Science Part B. 44 (3): 222–230. arXiv:1301.1069. Bibcode:2013SHPMP..44..222S. doi:10.1016/j.shpsb.2013.04.004. S2CID 55537196.
  10. ^ Cite error: The named reference :13 was invoked but never defined (see the help page).
  11. ^ Hänsch, Theodor. "Changing Concepts of Light and Matter". The Pontifical Academy of Sciences. Archived from the original on 2018-11-11. Retrieved 2017-04-18.
  12. ^ Jaeger, Gregg (2009). "3.7. The radical Bayesian interpretation". Entanglement, information, and the interpretation of quantum mechanics (Online-Ausg. ed.). Berlin: Springer. pp. 170–179. ISBN 978-3-540-92127-1.
  13. ^ von Baeyer, Hans Christian (2016). QBism: The Future of Quantum Physics. Cambridge, MA: Harvard University Press. ISBN 978-0674504646.

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