Uncertainty reconciles complementarity with joint measurability

Details Uncertainty reconciles complementarity with joint measurability Uncertainty reconciles complementarity with joint measurability

2002-07-15

arxiv.org/abs/quant-ph/0207081v2

Phys. Rev. A 68, 034102 (2003)

Physics

Quantum Physics

4 pages, RevTeX. Title of previous version: "Complementarity and uncertainty - entangled in joint path-interference measuremen

Scientific paper

10.1103/PhysRevA.68.034102

The fundamental principles of complementarity and uncertainty are shown to be related to the possibility of joint unsharp measurements of pairs of noncommuting quantum observables. A new joint measurement scheme for complementary observables is proposed. The measured observables are represented as positive operator valued measures (POVMs), whose intrinsic fuzziness parameters are found to satisfy an intriguing pay-off relation reflecting the complementarity. At the same time, this relation represents an instance of a Heisenberg uncertainty relation for measurement imprecisions. A model-independent consideration show that this uncertainty relation is logically connected with the joint measurability of the POVMs in question.

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