Upper bound on our knowledge about noncommuting observables for a qubit system

Abstract

A trade-off relation on our knowledge about two noncommuting observables of a qubit system in simultaneous measurement is formulated. The obtained inequality offers a quantitative information-theoretic representation of Bohr's principle of complementarity, and can be interpreted as a trade-off relation on the asymptotic accuracy of the maximum-likelihood estimation of the probability distributions of observables.

4 pages, 1 figure

Cited by in corpus (2)

• The information about the state of a qubit gained by a weakly coupled detector
• Accuracy matrix in generalized simultaneous measurement of a qubit system