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A Philosopher Looks at Quantum Information Theory

Published online by Cambridge University Press:  01 January 2022

Amit Hagar*
Affiliation:
Department of Philosophy, University of British Columbia, Vancouver, BC, V6T 1Z1, Canada, email: ahagar@interchange.ubc.ca.

Abstract

Recent suggestions to supply quantum mechanics (QM) with realistic foundations by reformulating it in light of quantum information theory (QIT) are examined and are found wanting by pointing to a basic conceptual problem that QIT itself ignores, namely, the measurement problem. Since one cannot ignore the measurement problem and at the same time pretend to be a realist, as they stand, the suggestions to reformulate QM in light of QIT are nothing but instrumentalism in disguise.

Type
Research Article
Copyright
Copyright © The Philosophy of Science Association

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Footnotes

I thank Meir Hemmo for encouragement and discussions, Chris Fuchs for stimulating conversations, and William Demopoulos and Steven Savitt for a careful reading of earlier drafts of this paper. I also thank two anonymous referees for helpful comments and suggestions.

References

Albert, David (1983), “On Quantum Mechanical Automata”, On Quantum Mechanical Automata A 98:249252.Google Scholar
Albert, David (1990), “The Quantum Mechanics of Self-measurement”, in Zurek, Wojciech H. (ed.), Complexity, Entropy and the Physics of Information. New York: Addison-Wesley, 471476.Google Scholar
Albert, David (1992), Quantum Mechanics and Experience. Harvard: Harvard University Press.Google Scholar
Albert, David (2000), “Special Relativity As an Open Question”, in Breuer, Heinz-Peter and Petruccione, Francesco (eds.), Relativistic Quantum Measurement and Decoherence. New York: Springer, 114.Google Scholar
Bacciagaluppi, Guido, and Dickson, Michael (1999), “Dynamics for Modal Interpretations”, Dynamics for Modal Interpretations 29:11651201.Google Scholar
Barret, Jeffery (1999), The Quantum Theory of Worlds and Minds. New York: Oxford University Press.Google Scholar
Bechler, Zeev (1999), Three Copernican Revolutions. Tel Aviv: Zemora-Bitan.Google Scholar
Bell, John S, (1987), Speakable And Unspeakable in Quantum Mechanics. Cambridge: Cambridge University Press.Google Scholar
Bell, John S (1990), “Against ‘Measurement’”, Against ‘Measurement’ 8:3340.Google Scholar
Born, Max (1970), The Born-Einstein Letters. New York: Walker and Company.Google Scholar
Bridgman, Percy W. (1945), “The Prospect for Intelligence”, The Prospect for Intelligence 34:444461.Google Scholar
Bub, Jeffery (1997), Interpreting the Quantum world. Cambridge: CambridgeGoogle Scholar
Caves, Carlton, Barnum, Howard, Finkelstein, Jerry, Fuchs, Christopher, and Schack, Ruediger (2000), “Quantum Probabilities from Decision Theory?”, Quantum Probabilities from Decision Theory? A 456:11751182.Google Scholar
Caves, Carlton, Blume-Kohout, Robin, and Deutsch, Ivan H. (2002a), “Climbing Mount Scalable: Physical-Resource Requirements for a Scalable Quantum Computer”, Climbing Mount Scalable: Physical-Resource Requirements for a Scalable Quantum Computer 32:16411670.Google Scholar
Caves, Carlton, Fuchs, Christopher, and Schack, Ruediger (2002b), “Conditions for Compatibility of Quantum State Assignments”, Conditions for Compatibility of Quantum State Assignments A 66: 062111.Google Scholar
Clark, Ronald (1971), The Life and Time of Albert Einstein. New York: The World Publication.Google Scholar
Clifton, Rob, Bub, Jeffery, and Halvorson, Hans (2003), “Characterizing Quantum Theory in Terms of Information-theoretic Constraints”, Foundations of Physics, forthcoming.Google Scholar
Clifton, Rob, and Halvorson, Hans (2002), “No Place for Particles in Relativistic Quantum Theories?”, No Place for Particles in Relativistic Quantum Theories? 69:128.Google Scholar
Deutsch, David (1999), “Quantum Theory of Probability and Decisions”, Quantum Theory of Probability and Decisions A 455:31293137.Google Scholar
d'Espagnat, Bernard (1966), “An Elementary Note about ‘Mixtures’”, in Shalit, Amos De (ed.), Preludes in Theoretical Physics. Amsterdam: North Holland Publication Company, 185191.Google Scholar
Fuchs, Christopher (2001a), “Notes on a Paulian Idea”, pre-print. http://xxx.lanl.gov/abs/quant-ph/0105039Google Scholar
Fuchs, Christopher (2001b), “Quantum Foundation in Light of Quantum Information”, pre-print. http://xxx.lanl.gov/abs/quant-ph/0106166.Google Scholar
Fuchs, Christopher (2002a), “The Anti-Växjö Interpretation of Quantum Mechanics”, pre-print. http://xxx.lanl.gov/abs/quant-ph/0204146.Google Scholar
Fuchs, Christopher (2002b), “Quantum Mechanics as Quantum Information (and a Little More)”, pre-print. http://xxx.lanl.gov/abs/quant-ph/0205039.Google Scholar
Fuchs, Christopher and Peres, Asher (2000), “Quantum Theory Needs No Interpretation”, Quantum Theory Needs No Interpretation 3:7071.Google Scholar
Furry, W.H. (1936), “Note on the Quantum Mechanical Theory of Measurement”, Note on the Quantum Mechanical Theory of Measurement 49:393399.Google Scholar
Ghirardi, GianCarlo (1997), “Quantum Dynamical Reduction and Reality”, Quantum Dynamical Reduction and Reality 45:249265.Google Scholar
Ghirardi, GianCarlo (2000), “Beyond Conventional Quantum Mechanics”, in Ellis, John and Amati, Daniel (eds.) Quantum Reflections. Cambridge: Cambridge University Press, 79116.Google Scholar
Ghirardi, GianCarlo, Rimini, Alberto, and Weber, Tulio, (1986), “Unified Dynamics for Microscopic and Macroscopic Systems”, Unified Dynamics for Microscopic and Macroscopic Systems D 34:470479.Google ScholarPubMed
Gisin, Nicolas (2002), “Sundays in a Quantum Engineer's Life”, in Bertlmann, Reinhold A. and Zeilinger, Anton (eds.) Quantum (Un)speakables. New York: Springer, 199208.CrossRefGoogle Scholar
Goldstein, Sheldon, Dürr, Detlef, and Zanghi, Nino, (1992), “Quantum Equilibrium and the Origin of Absolute Uncertainty”, Quantum Equilibrium and the Origin of Absolute Uncertainty 67:843907.Google Scholar
Hemmo, Meir (unpublished), “Why Quantum Theory Needs an Interpretation — A Reply to Fuchs and Peres”.Google Scholar
Holland, Peter (1993), The Quantum Theory of Motion. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
Maudlin, Tim (2001), “Interpreting Probabilities: What Interference Got To Do With It?”, in Bricmont, Jan et al. (eds.) Chance in Physics: Foundations and Perspectives. New York: Springer, 283288.CrossRefGoogle Scholar
Myrvold, Wayne (2002), “On Peaceful Coexistence: Is the Collapse Postulate Incompatible With Relativity?”, On Peaceful Coexistence: Is the Collapse Postulate Incompatible With Relativity? 33:435466.Google Scholar
Nielsen, Michael A., and Chuang, Isaac L. (2000), Quantum Computation and Quantum Information. Cambridge: Cambridge University Press.Google Scholar
Pearle, Philip (1997), “Tails and Tales and Stuff and Nonsense”, in Cohen, Robert. S., Horne, Michael, and Stachel, John (eds.), Experimental Metaphysics. Dordrecht: Reidel, Boston Studies in the Philosophy of Science, 143156.Google Scholar
Peierls, Rudolf (1991), “In Defence of Measurement”, In Defence of Measurement 4:1920.Google Scholar
Planck, Max (1945), Thermodynamics. New York: Dover Publications.Google Scholar
Saunders, Simon (1998), “Time, Quantum Mechanics, and Probability”, Time, Quantum Mechanics, and Probability 114:235266.Google Scholar
Schilpp, Paul. A. (ed.) (1949), Albert Einstein: Philosopher Scientist. Cambridge: Cambridge University Press.Google Scholar
Unruh, William G. (1986), “Quantum Measurement”, in Greenberger, Daniel (ed.), New Techniques and Ideas in Quantum Measurement Theory. New York: The New York Academy of Science, 242249.Google Scholar
van Fraassen, Bas C. (1991), Quantum Mechanics—an Empiricist View. Oxford: Oxford University Press.CrossRefGoogle Scholar
Wallace, David (2002) “Quantum Probability and Decision Theory Revisited”, pre-print. http://xxx.lanl.gov/abs/quant-ph/0211184.Google Scholar
Wheeler, John A. (1989), “Information, Physics, Quantum: The Search for Links”, in Zurek, Wojciech. H. (ed.), Complexity, Entropy, and the Physics of Information. New York: Addison Wesley, 328.Google Scholar