Joint measurement of two unsharp observables of a qubit

Details Joint measurement of two unsharp observables of a qubit Joint measurement of two unsharp observables of a qubit

2008-05-12

arxiv.org/abs/0805.1538v2

Physics

Quantum Physics

5 pages 3 figures

Scientific paper

We present a single inequality as the necessary and sufficient condition for two unsharp observables of a two-level system to be jointly measurable in a single apparatus and construct explicitly the joint observables. A complementarity inequality arising from the condition of joint measurement, which generalizes Englert's duality inequality, is derived as the trade-off between the unsharpnesses of two jointly measurable observables.

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