Sankhya: The Indian Journal of Statistics

2002, Volume 64, Series A, Pt. 3, 842--851

AN ENTROPIC UNCERTAINTY PRINCIPLE FOR QUANTUM MEASUREMENTS

By

M. KRISHNA and K.R. PARTHASARATHY, Institute of Mathematical Sciences, Chennai, India

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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