Abstract
The state of a classical system represents physical reality by assigning truth values, true or false, to every proposition about the values of the system’s physical quantities. I present an analysis of the Frauchiger-Renner thought experiment (Frauchiger D, Renner R: Single-world interpretations of quantum mechanics cannot be self-consistent. arXiv eprint quant-ph/1604.07422, 2016), an extended version of the ‘Wigner’s friend’ thought experiment (Wigner E: Remarks on the mind-body question. In: Good IJ (ed) The scientist speculates. Heinemann, London, 1961), to argue that the state of a quantum system should be understood as purely probabilistic and not representational.
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References
Bell, J. (1990). Against measurement. PhysicsWorld, 8, 33–40. Reprinted in A. Miller (Ed.), Sixty-two years of uncertainty: Historical, philosophical and physical inquiries into the foundations of quantum mechanics (pp. 17–31). New York: Plenum.
Born, M., & Jordan, P. (1925). Zur Quantenmechanik. Zeitschrift fur Physik, 34, 858–888.
Born, M., Heisenberg, W., & Jordan, P. (1925). Zur Quantenmechanik II. Zeitschrift fur Physik, 35, 557–615
Brown, H. R. (2006). Physical relativity: Space-time structure from a dynamical perspective. Oxford: Clarendon Press.
Bub, J. (2016). Bananaworld: Quantum mechanics for primates (p. 211). Oxford: Oxford University Press.
Bub, J., & Pitowsky, I. (2010). Two dogmas about quantum mechanics. In S. Saunders, J. Barrett, A. Kent, & D. Wallace (Eds.), Many worlds? Everett, quantum theory, and reality (pp. 431–456). Oxford: Oxford University Press.
Clauser, J. F., Horne, M. A., Shimony, A., & Holt, R. A. (1969). Proposed experiment to test local hidden-variable theories. Pysical Review Letters, 23, 880–884.
Colbeck, R., & Renner, R. (2011). No extension of quantum theory can have improved predictive power. Nature Communications, 2, 411. For two qubits in an entangled Bell state, Colbeck and Renner show that there can’t be a variable, z, associated with the history of the qubits before the preparation of the entangled state in the reference frame of any inertial observer, that provides information about the outcomes of measurements on the qubits, so that Alice’s and Bob’s marginal probabilities conditional on z are closer to 1 than the probabilities of the Bell state. They show how the argument can be extended to any entangled state, and then to any quantum state.
Einstein, A. (1949). Autobiographical notes. In P. A. Schillp (Ed.), Albert Einstein: Philosopher-scientist (p. 85). Open Court: La Salle. But on one supposition we should, in my opinion, absolutely hold fast: the real factual situation of the system S 2 is independent of what is done with the system S 1, which is spatially separated from the former.
Einstein, A. (1954). What is the theory of relativity? Ideas and opinions (p. 228). New York: Bonanza Books. Reprinted from an article in the London Times, 28 Nov 1919.
Frauchiger, D., & Renner, R. (2016). Single-world interpretations of quantum mechanics cannot be self-consistent. arXiv eprint quant-ph/1604.07422.
Gleason, A. N. (1957). Measures on the closed subspaces of Hilbert space. Journal of Mathematics and Mechanics, 6, 885–893.
Gross, D., Müller, M., Colbeck, R., & Dahlsten, O. C. (2010). All reversible dynamics in maximally nonlocal theories are trivial. Physical Review Letters, 104, 080402.
Heisenberg, W. (1925). ‘Über Quantentheoretischer Umdeutung kinematischer und mechanischer Beziehungen. Zeitschrift fur Physik, 33, 879–893.
Janssen, M. (2009). Drawing the line between kinematics and dynamics in special relativity. Studies in History and Philosophy of Modern Physics, 40, 26–52.
Kent, A. (2005). Secure classical bit commitment over finite channels. Journal of Cryptology, 18, 313–335; Unconditionally secure bit commitment. Physical Review Letters, 83, 1447–1450 (1999).
Lo, H.-K., & Chau, H. F. (1997). Is quantum bit commitment really possible? Physical Review Letters, 78, 3410–3413.
Mayers, D. (1997). Unconditionally secure quantum bit commitment is impossible. Physical Review Letters, 78, 3414–3417.
Menahem, Y. B. (1988). Realism and quantum mechanics. In A. van der Merwe (Ed.), Microphysical reality and quantum formalism. Dordrecht: Kluwer.
Pitowsky, I. (2003). Betting on the outcomes of measurements: A Bayesian theory of quantum probability. Studies in History and Philosophy of Modern Physics, 34, 395–414.
Pitowsky, I. (2004). Macroscopic objects in quantum mechanics: A combinatorial approach. Physical Review A, 70, 022103–1–6.
Pitowsky, I. (2007). Quantum mechanics as a theory of probability. In W. Demopoulos & I. Pitowsky (Eds.), Festschrift in honor of Jeffrey Bub. New York: Springer. arXiv e-print quant-ph/0510095.
Popescu, S., & Rohrlich, D. (1994). Quantum nonlocality as an axiom. Foundations of Physics, 24, 379.
Pusey, M. (2016). Is QBism 80% complete, or 20%? https://www.youtube.com/watch?v=_9Rs61l8MyY. Talk presented at a workshop: Information-theoretic interpretations of quantum mechanics, 11–12 June 2016, Western University, London.
Uhlhorn, U. (1963). Representation of symmetry transformations in quantum mechanics. Arkiv Fysik, 23, 307.
Wallace, D. (2016). What is orthodox quantum mechanics? arXiv eprint quant-ph/1604.05973.
Wigner, E. (1959). Group theory and its applications to quantum mechanics of atomic spectra. New York: Academic.
Wigner, E. (1961). Remarks on the mind-body question. In I. J. Good (Ed.), The scientist speculates. London: Heinemann.
Acknowledgements
Thanks to Bill Demopoulos, Michel Janssen, Matthew Leifer, and Allen Stairs for illuminating discussions.
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Bub, J. (2019). What Is Really There in the Quantum World?. In: Cordero, A. (eds) Philosophers Look at Quantum Mechanics. Synthese Library, vol 406. Springer, Cham. https://doi.org/10.1007/978-3-030-15659-6_14
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