Quantum realism: axiomatization and quantification
- URL: http://arxiv.org/abs/2110.04870v2
- Date: Mon, 11 Jul 2022 23:48:16 GMT
- Title: Quantum realism: axiomatization and quantification
- Authors: Alexandre C. Orthey Jr. and R. M. Angelo
- Abstract summary: We build an axiomatization for quantum realism -- a notion of realism compatible with quantum theory.
We explicitly construct some classes of entropic quantifiers that are shown to satisfy almost all of the proposed axioms.
- Score: 77.34726150561087
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: The emergence of an objective reality in line with the laws of the
microscopic world has been the focus of longstanding debates. Recent approaches
seem to have reached a consensus at least with respect to one aspect, namely,
that the encoding of information about a given observable in a physical degree
of freedom is a necessary condition for such observable to become an element of
the physical reality. Taking this as a fundamental premise and inspired by
quantum information theory, here we build an axiomatization for quantum realism
-- a notion of realism compatible with quantum theory. Our strategy consists of
listing some physically-motivated principles able to characterize quantum
realism in a ``metric'' independent manner. We introduce some criteria defining
monotones and measures of realism and then search for potential candidates
within some celebrated information theories -- those induced by the von
Neumann, R\'enyi, and Tsallis entropies. We explicitly construct some classes
of entropic quantifiers that are shown to satisfy (almost all of) the proposed
axioms and hence can be taken as faithful estimates for the degree of reality
(or definiteness) of a given physical observable. Hopefully, our framework may
offer a formal ground for further discussions on foundational aspects of
quantum mechanics.
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