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Entropy 2016, 18(5), 174; doi:10.3390/e18050174

Quantum Errors and Disturbances: Response to Busch, Lahti and Werner

Centre for Engineered Quantum Systems, School of Physics, The University of Sydney, Sydney, NSW 2006, Australia
Academic Editors: Gregg Jaeger and Andrei Khrennikov
Received: 27 February 2016 / Revised: 25 April 2016 / Accepted: 28 April 2016 / Published: 6 May 2016
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Abstract

Busch, Lahti and Werner (BLW) have recently criticized the operator approach to the description of quantum errors and disturbances. Their criticisms are justified to the extent that the physical meaning of the operator definitions has not hitherto been adequately explained. We rectify that omission. We then examine BLW’s criticisms in the light of our analysis. We argue that, although the BLW approach favour (based on the Wasserstein two-deviation) has its uses, there are important physical situations where an operator approach is preferable. We also discuss the reason why the error-disturbance relation is still giving rise to controversies almost a century after Heisenberg first stated his microscope argument. We argue that the source of the difficulties is the problem of interpretation, which is not so wholly disconnected from experimental practicalities as is sometimes supposed. View Full-Text
Keywords: error disturbance principle; uncertainty principle; quantum measurement; Heisenberg error disturbance principle; uncertainty principle; quantum measurement; Heisenberg
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Appleby, D.M. Quantum Errors and Disturbances: Response to Busch, Lahti and Werner. Entropy 2016, 18, 174.

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