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  Unmeasured Bohmian properties and their measurement through local-in-position weak values for assessing non-contextual quantum dynamics

Pandey, D., Sampaio, R., Ala-Nissila, T., Albareda Piquer, G., & Oriols, X. (2019). Unmeasured Bohmian properties and their measurement through local-in-position weak values for assessing non-contextual quantum dynamics.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0005-45F3-B Version Permalink: http://hdl.handle.net/21.11116/0000-0005-45F4-A
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1812.10257.pdf (Preprint), 315KB
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1812.10257.pdf
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https://arxiv.org/abs/1812.10257 (Preprint)
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 Creators:
Pandey, D.1, Author
Sampaio, R.2, Author
Ala-Nissila, T.2, 3, Author
Albareda Piquer, G.1, 4, 5, Author              
Oriols, X.1, Author
Affiliations:
1Departament d’Enginyeria Electrònica, Universitat Autònoma de Barcelona, ou_persistent22              
2QTF Centre of Excellence, Department of Applied Physics, Aalto University School of Science, ou_persistent22              
3Interdisciplinary Centre for Mathematical Modelling and Department of Mathematical Sciences, Loughborough University, ou_persistent22              
4Institut de Química Teòrica i Computacional, Universitat de Barcelona, ou_persistent22              
5Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society, ou_2266715              

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 Abstract: We present a thorough discussion about the significance of unmeasured properties, defined in terms of Bohmian trajectories, to provide information on the dynamics of general quantum systems. We prove the existence of a one-to-one correspondence between any unmeasured Bohmian property and a local-in-position weak value of the corresponding observable. Consequently, as long as weak values are experimentally accessible, unmeasured Bohmian properties are measurable and always yield a positive semi-definite output value probability distribution. Importantly, while generalized (positive-operator valued) measurements of multi-time expectation values happen to be contextual, local-in-position weak values are, by construction, free from quantum backaction effects. Therefore, we conclude that unmeasured Bohmian properties, measurable through weak values, can be understood as a genuine representation of the intrinsic dynamics of quantum systems. The dwell time, the work distribution or the high-frequency electrical current of quantum systems are shown to be paradigmatic examples of the physical soundness of unmeasured Bohmian properties.

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Language(s): eng - English
 Dates: 2019-11-11
 Publication Status: Published online
 Pages: 20
 Publishing info: -
 Table of Contents: -
 Rev. Type: No review
 Identifiers: arXiv: 1812.10257
 Degree: -

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