arXiv:1405.6956

Error and unsharpness in approximate joint measurements of position and momentum

Paul Busch, David B. Pearson

Published May 27, 2014• 2 citations

Abstract

In recent years, novel quantifications of measurement error in quantum mechanics have for the first time enabled precise formulations of Heisenberg's famous but often challenged measurement uncertainty relation. These relations take the form of a trade-off for the necessary errors in joint approximate measurements of position and momentum and other incompatible pairs of observables. Here we review some of these error measures, examine their properties and suitability, and compare their relative strengths as criteria for "good" approximations.

DOI: 10.48550/arxiv.1405.6956

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arXiv:1405.6956

Error and unsharpness in approximate joint measurements of position and momentum

Paul Busch, David B. Pearson

Published May 27, 2014• 2 citations

arXiv HTML PDF

Abstract

DOI: 10.48550/arxiv.1405.6956

Related papers

Measurement uncertainty: the problem of characterising optimal error bounds

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A,B

are tightly bounded from below by a quantity that measures the degree of incompatibility of

A

and

B

. The claim of a violation of Heisenberg is shown to fail because it is based on unsuitable measures of error and disturbance. Finally we show how the experiments mentioned may directly be used to test our error inequality.