Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:quant-ph/0008091

Quantum Measurement and Shannon Information, A Reply to M. J. W. Hall

Časlav Brukner, Anton Zeilinger

Published Aug 22, 2000• 8 citations
arXivHTMLPDF

Abstract

Motivated by Hall's recent comment in quant-ph/0007116 we point out in some detail the essence of our reasoning why we believe that Shannon's information is not an adequate choice when defining the information gain in quantum measurements as opposed to classical observations.
DOI
10.48550/arxiv.quant-ph/0008091

Related papers

On a supposed conceptual inadequacy of the Shannon information in quantum mechanics

Christopher G. Timpson

arXiv:quant-ph/0112178•Studies in History and Philosophy of Science Part B Studies in History and Philosophy of Modern Physics•Jun 30, 2003•74 citations

Comment on "Conceptual Inadequacy of Shannon Information ..." by C. Brukner and A. Zeilinger

Michael J. W. Hall

It is pointed out that the case for Shannon entropy and von Neumann entropy, as measures of uncertainty in quantum mechanics, is not as bleak as suggested in quant-ph/0006087. The main argument of the latter is based on one particular interpretation of Shannon's H-function (related to consecutive measurements), and is shown explicitly to fail for other physical interpretations. Further, it is shown that Shannon and von Neumann entropies have in fact a common fundamental significance, connected to the existence of a unique geometric measure of uncertainty for classical and quantum ensembles. Some new properties of the ``total information'' measure proposed in quant-ph/0006087 are also given.

arXiv:quant-ph/0007116•Jul 31, 2000•8 citations

Reply to Comment on "Quantification of Macroscopic Quantum Superpositions within Phase Space"

Hyunseok Jeong, Minsu Kang, Chang-Woo Lee

Gong points out [quant-ph arXiv:1106.0062] a "direct connection" between our measure [PRL 106, 220401 (2011)] recently proposed to quantify macroscopic quantum superpositions and a previously studied quantity introduced to study classical and quantum chaos. We point out that the two measures are obviously different for some mixed states, and the previous one does not work as a sensible measure to quantify quantum superpositions.

arXiv:1108.0212•Aug 1, 2011•7 citations

Entropy and Information Gain in Quantum Continual Measurements

Alberto Barchielli

'Entropy and Information Gain in Quantum Continual Measurements' published in 'Quantum Communication, Computing, and Measurement 3'

Kluwer Academic Publishers eBooks•Feb 24, 2006•10 citations

On quantum measurement

Alexander B. Givental

We propose a solution to the quantum measurement paradox by first identifying its classical counterpart.

arXiv:2311.02233•Nov 3, 2023•0 citations

Response to Horton and Dewdney

Roderich Tumulka

There are some points in the reply of Horton et al. [http://stacks.iop.org/JPhysA/35/7963] to my comment [quant-ph/0202140] on their paper [quant-ph/0103114] which I cannot let stand without a response. I provide here some clarification of how much I proved about the set of points where their law of motion is ill-defined.

arXiv:quant-ph/0210018•Oct 2, 2002•1 citation
It is pointed out that the case for Shannon entropy and von Neumann entropy, as measures of uncertainty in quantum mechanics, is not as bleak as suggested in quant-ph/0006087. The main argument of the latter is based on one particular interpretation of Shannon's H-function (related to consecutive measurements), and is shown explicitly to fail for other physical interpretations. Further, it is shown that Shannon and von Neumann entropies have in fact a common fundamental significance, connected to the existence of a unique geometric measure of uncertainty for classical and quantum ensembles. Some new properties of the ``total information'' measure proposed in quant-ph/0006087 are also given.