Advertisement

Maxwell’s Demon, Szilard’s Engine and Quantum Measurements

  • W. H. Zurek
Part of the NATO ASI Series book series (NSSB, volume 135)

Abstract

We propose and analyze a quantum version of Szilard’s “one-molecule engine.” In particular, we recover, in the quantum context, Szilard’s conclusion concerning the free energy “cost” of measurements: ΔF⩾kBTln2 per bit of information.

Keywords

Density Matrix Mutual Information Quantum Measurement External Observer Entropy Increase 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    L. Szilard,“On the Decrease of Entropy in a Thermodynamic System by the Intervention of Intelligent Beings,” Z. Phys. 53:840 (1929); English translation reprinted in Behavioral Science 9:301 (1964), as well as in Ref. 2, p. 539.ADSCrossRefGoogle Scholar
  2. 2.
    JA Wheeler, W.H. Zurek, eds., Quantum Theory and Measurement Princeton University Press, Princeton, 1983).Google Scholar
  3. 3.
    CE Shannon, WWeaver, The Mathematical Theory of Communication, (University of Illinois Press, Urbana, 1949).zbMATHGoogle Scholar
  4. 4.
    JM Jauch, JGBaron, “Entropy, Information, and Szilard’s Paradox,” Helv. Phys. Acta, 45:220 (1972).MathSciNetGoogle Scholar
  5. 5.
    WH Zurek, “Pointer Basis of Quantum Apparatus: Into What Mixture Does the Wavepacket Collapse?” Phys. Rev. D24:1516 (1981).MathSciNetADSGoogle Scholar
  6. 6.
    WH Zurek, “Information Transfer in Quantum Measurements: Irreversibility and Amplification,” Quantum Optics, Experimental Gravitation and Measurement Theory, eds. PMeystre, MOScully (Plenum Press, New York, 1983).Google Scholar
  7. 7.
    JR Pierce, ECRosner, Introduction to Communication Science and Systems (Plenum Press, New York, 1980).zbMATHGoogle Scholar
  8. 8.
    H EverettS, Dissertation, reprinted in BSDeWitt, NGraham, eds., The Many -- Worlds Interpretation of Quantum Mechanics (Princeton.University Press, Princeton, 1973).Google Scholar
  9. 9.
    CH Bennett, “The Thermodynamics of Computation” Int. J. Theor. Phys. 21:305 (1982).CrossRefGoogle Scholar
  10. 10.
    M Smoluchowski, “Vorträge über die Kinetische Theorie der Materie und Elktrizitat,” Leipzig 1914.Google Scholar
  11. 11.
    WH Zurek, “Environment-Induced Superselection Rules,” Phys. Rev. D26:]862 (1982).MathSciNetGoogle Scholar

Copyright information

© Plenum Press, New York 1986

Authors and Affiliations

  • W. H. Zurek
    • 1
    • 2
  1. 1.Theoretical AstrophysicsLos Alamos National LaboratoryLos AlamosUSA
  2. 2.Institute for Theoretical PhysicsUniversity of CaliforniaSanta BarbaraUSA

Personalised recommendations