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# Letter from Lhasa, number 276. Violation of Heisenberg's Uncertainty Principle

Letter from Lhasa, number 276. Violation of Heisenberg's Uncertainty Principle

by Roberto Abraham Scaruffi

Rozema L. A., A. Darabi, D. H. Mahler, A. Hayat, Y. Soudagar, and A. M. Steinberg, Violation of Heisenberg's Measurement-Disturbance Relationship by Weak Measurements, 16 August 2012, http://arxiv.org/pdf/1208.0034.pdf

(Rozema 2012).

Lee A. Rozema

Ardavan Darabi

Dylan H. Mahler

Alex Hayat

Yasaman Soudagar

Aephraim M. Steinberg

In quantum mechanics, the uncertainty principle defines an inverse relation between the simultaneous observable precision of position x and momentum p of a particle. Measuring an observable induces a random disturbance. For Heisenberg, “the product of the measurement precision, ϵ(q), and the magnitude of the induced disturbance, η(p), must satisfy ϵ(q)η(p)≈h, where h is Planck’s constant.”

In (Rozema 2012), “the first direct experimental characterization of the precision and disturbance arising from a measurement, violating Heisenberg’s original relationship” is provided.

Heisenberg’s original measurement-disturbance relationship has been proved as formally incorrect. The correct form was provided from Ozawa.

The experimental observing of a violation of Heisenberg’s original measurement-disturbance relationship requires measuring the disturbance and precision of a measurement apparatus. However, in quantum mechanics, it seems impossible measuring a disturbance.

So, here, the authors checked the consistency of Ozawa’s theory. They did that carrying out a set of measurements inferring the disturbance through tomographic means. The authors show how they measured precision and disturbance of a measurement apparatus using weak measurements before and after the system interacts with it.

Rozema L. A., A. Darabi, D. H. Mahler, A. Hayat, Y. Soudagar, and A. M. Steinberg, Violation of Heisenberg's Measurement-Disturbance Relationship by Weak Measurements, 16 August 2012, http://arxiv.org/pdf/1208.0034.pdf