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

Horace P. Yuen
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Horace P. Yuen: Northwestern University, Department of Electrical and Computer Engineering Department of Physics and Astronomy

A chapter in Quantum Communication, Computing, and Measurement, 1997, pp 17-23 from Springer

Abstract: 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.

Keywords: General Entropy; Quantum Information Theory; Mathematical Rigor; Quantum Capacity; Entropy Bound (search for similar items in EconPapers)
Date: 1997
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DOI: 10.1007/978-1-4615-5923-8_3

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