Sankhya: The Indian Journal of Statistics

2002, Volume 64, Series A, Pt. 3, 852--867

THE BALAYAGE ORDER DEFINED BY A GAMBLING HOUSE

By

A. MAITRA and W. SUDDERTH University of Minnesota, USA

SUMMARY. The Entropic uncertainty principle as outlined by Maassen and Uffink (1988) for a pair of non-degenerate observables in a finite level quantum system is generalized here to the case of a pair of arbitrary quantum measurements. In particular, our result includes not only the case of projective measurements (or equivalently, observables) exhibiting degeneracy but also an uncertainty principle for a single measurement.

AMS (1991) subject classification}. 81P15, 94A17.

Key words and phrases. Quantum measurement, entropy uncertainty relations.

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