Joint measurements of spin, operational locality and uncertainty

Details Joint measurements of spin, operational locality and uncertainty Joint measurements of spin, operational locality and uncertainty

2005-09-21

arxiv.org/abs/quant-ph/0509152v1

Phys. Rev. A 72, 042104 (2005)

Physics

Quantum Physics

Accepted for publication in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.72.042104

Joint, or simultaneous, measurements of non-commuting observables are possible within quantum mechanics, if one accepts an increase in the variances of the jointly measured observables. In this paper, we discuss joint measurements of a spin 1/2 particle along any two directions. Starting from an operational locality principle, it is shown how to obtain a bound on how sharp the joint measurement can be. We give a direct interpretation of this bound in terms of an uncertainty relation.

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