Abstract
The use of amplitude-based probability densities as distinct from ordinary probability densities means linear combinations of amplitudes introduce both weighting and interference effects. Some inequalities arising from both these effects in differential entropy and Kullback-Leibler information are established.
Supported in part by ONR Contract N0001487WX84028
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References
S. Kullback and R.A. Leibler, Ann Math Stat 22, 79 (1951).
S. Kullback, Information Theory and Statistics, (John Wiley & Sons, Inc., New York ) (1959).
A. Bohm, The Rigged Hilbert Space and Quantum Mechanics, Springer Lecture Notes in Physics, Vol. 78 (Springer-Verlag, New York) (1978).
Ref. 2, pp. 4–5.
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© 1988 Kluwer Academic Publishers
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Rajagopal, A.K., Lin-Chung, P.J., Teitler, S. (1988). Superposition Effects in Differential Entropy and Kullback-Leibler Information. In: Erickson, G.J., Smith, C.R. (eds) Maximum-Entropy and Bayesian Methods in Science and Engineering. Fundamental Theories of Physics, vol 31-32. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-9054-4_5
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DOI: https://doi.org/10.1007/978-94-010-9054-4_5
Publisher Name: Springer, Dordrecht
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