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Quantum Information Theory, the Entropy Bound, and Mathematical Rigor in Physics

In: Quantum Communication, Computing, and Measurement

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  • Horace P. Yuen

    (Northwestern University, Department of Electrical and Computer Engineering Department of Physics and Astronomy)

Abstract

The fundamental role of the entropy bound, $$I \leqslant S\left( {\bar \rho } \right)\; - \;\bar S\left( \rho \right)$$ , is illustrated through its use in determining the information capacities of quantum systems and the ultimate accuracy limits of precision quantum measurements, leading to a discussion on the relevance of mathematical rigor in the treatment of physics problems. The history of this bound is also reviewed.

Suggested Citation

  • Horace P. Yuen, 1997. "Quantum Information Theory, the Entropy Bound, and Mathematical Rigor in Physics," Springer Books, in: O. Hirota & A. S. Holevo & C. M. Caves (ed.), Quantum Communication, Computing, and Measurement, pages 17-23, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4615-5923-8_3
    DOI: 10.1007/978-1-4615-5923-8_3
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