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

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

2007-03-15

arxiv.org/abs/quant-ph/0703130v4

Phys. Rev. A 76, 022325 (2007)

Physics

Quantum Physics

4 pages, 1 figure

Scientific paper

10.1103/PhysRevA.76.022325

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.

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