The Applicability of Shannon Information in Quantum Mechanics and Zeilinger’s Foundational Principle∗
نویسنده
چکیده
Recently, Brukner and Zeilinger have presented a number of arguments suggesting that the Shannon information is not well defined as a measure of information in quantum mechanics. If established, this result would be highly significant, as the Shannon information is fundamental to the way we think about information not only in classical but also in quantum information theory. On consideration, however, these arguments are found unsuccessful; I go on to suggest how they might be arising as a consequence of Zeilinger’s proposed foundational principle for quantum mechanics.
منابع مشابه
On a Supposed Conceptual Inadequacy of the Shannon Information in Quantum Mechanics
Recently, Brukner and Zeilinger (2001) have claimed that the Shannon information is not well defined as a measure of information in quantum mechanics, adducing arguments that seek to show that it is inextricably tied to classical notions of measurement. It is shown here that these arguments do not succeed: the Shannon information does not have problematic ties to classical concepts. In a furthe...
متن کاملQuantum Information Theory and The Foundations of Quantum Mechanics
of Thesis Submitted for the Degree of Doctor of Philosophy This thesis is a contribution to the debate on the implications of quantum information theory for the foundational problems of quantum mechanics. In Part I an attempt is made to shed some light on the nature of information and quantum information theory. It is emphasized that the everyday notion of information is to be firmly distinguis...
متن کاملInformation and The Brukner-Zeilinger Interpretation of Quantum Mechanics: A Critical Investigation
In Brukner and Zeilinger’s interpretation of quantum mechanics, information is introduced as the most fundamental notion and the finiteness of information is considered as an essential feature of quantum systems. They also define a new measure of information which is inherently different from the Shannon information and try to show that the latter is not useful in defining the information conte...
متن کاملConceptual Inadequacy of the Shore and Johnson Axioms for Wide Classes of Complex Systems
It is by now well known that the Boltzmann-Gibbs-von Neumann-Shannon logarithmic entropic functional (SBG) is inadequate for wide classes of strongly correlated systems: see for instance the 2001 Brukner and Zeilinger’s Conceptual inadequacy of the Shannon information in quantum measurements, among many other systems exhibiting various forms of complexity. On the other hand, the Shannon and Khi...
متن کاملQuantum mechanics from a universal action reservoir
A heuristic derivation of quantum mechanics using information theory requires a foundational physical principle: the existence of a universal action reservoir, analogous to the energy reservoir of a canonical ensemble.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2003