Conceptual inadequacy of the Shannon information in quantum measurements

By Č. Brukner, Anton Zeilinger. 2000

158 citations recorded by the source corpus.

In a classical measurement the Shannon information is a natural measure of our ignorance about properties of a system. There, observation removes that ignorance in revealing properties of the system which can be considered to preexist prior to and independent of observation. Because of the completely different root of a quantum measurement as compared to a classical measurement conceptual difficulties arise when we try to define the information gain in a quantum measurement using the notion of Shannon information. The reason is that, in contrast to classical measurement, quantum measurement, with very few exceptions, cannot be claimed to reveal a property of the individual quantum system existing before the measurement is performed.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/7431030e9b3cdb90fbfb4643e2013c1b08ca8808

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In Artificial Intelligence

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Citations in the corpus

What is quantum information (2016, background): “systems (Caves and Fuchs 1996), and those who conceive it as a new kind of information absolutely different than Shannon information (Jozsa 1998; Brukner and Zeilinger 2001).”
Quantum-Bayesian Coherence (2009, background): “(17)The importance of tr ρ(2) as a measure of the information possessed by a quantum state has been especially emphasized in [103].”