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
