An Entropic Uncertainty Principle for Quantum Measurements

2001/10/04 by M. Krishna, M Krishna, K. R. Parthasarathy +3 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #math-ph #math.MP #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0110025

arxiv created 2001/10/04 · arxiv updated 2009/11/30

Abstract

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

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