Quantum mechanics from an information theory perspective

Ekin D. Cubuk

Joseph M. Landsberg

Howard Barnum

In this paper, I propose a project of enlisting quantum information science as a source of task-oriented axioms for use in the investigation of operational theories in a general framework capable of encompassing quantum mechanics, classical theory, and more. Whatever else they may be, quantum states of systems are compendia of probabilities for the outcomes of possible operations we may perform on the systems: ``operational theories.'' I discuss appropriate general frameworks for such theories, in which convexity plays a key role. Such frameworks are appropriate for investigating what things look like from an ``inside view,'' i.e. for describing perspectival information that one subsystem of the world can have about another. Understanding how such views can combine, and whether an overall ``geometric'' picture (``outside view'') coordinating them all can be had, even if this picture is very different in nature from the structure of the perspectives within it, is the key to understanding whether we may be able to achieve a unified, ``objective'' physical view in which quantum mechanics is the appropriate description for certain perspectives, or whether quantum mechanics is truly telling us we must go beyond this ``geometric'' conception of physics. The nature of information, its flow and processing, as seen from various operational persepectives, is likely to be key to understanding whether and how such coordination and unification can be achieved.

According to the request of the author of this article, the affiliation has been secured with Hyperscience International Journal, Albert V Herrebrugh ‎

The fundamental deterministic nature of quantum mechanics (QM) is mathematically demonstrated by the modeling of the ‎‎‎quantum (multiple) slit experiments; hence this paper is written from a deterministic perspective (DP) in quantum mechanics.‎ ‎Due to approximately 90 years of indeterminism and probabilistic statistical results, the theory consists of many ‎‎‎interpretations and is often regarded as counterintuitive. The latter is in the deterministic perspective not the case and is ‎‎‎illustrated with some examples. After a brief historic perspective, ‘invisible’ i.e. invisible entities of reality in mathematical ‎‎‎treatment, are introduced. These entities are handled by mathematics indirectly i.e. are described in a transformed domain ‎‎‎without variables violating the Heisenberg relation. In nature, i.e. on micro and macro levels, causality is fully ‘entangled’ with ‎‎‎energy, information - in the meaning of ordering or coding - as well as time. In contrast with the macro scale with many forms ‎‎‎and types of memory functions, without a memory property of quanta, causality is the bearer of information symmetry on ‎‎the ‎quantum scale. Further on in this DP paper: mathematical and philosophical consequences and influences in several ‎‎‎paragraphs, regarding subjects such as ‘free will’ and expected ‘threats to science’, the Bell inequalities, Alice and Bob & ‎‎‎entanglement, causality, information, retro-causality, spooky action, encryption and computing, teleportation, and in general ‎‎‎interpretations rooted in indeterminacy in QM as well as associated topics on independence, fine-tuning. The last paragraph ‎‎‎outlines the mathematical treatment of QM more extensively and may clarify references to the above-mentioned topics of ‎‎‎discussion in QM further.‎

Herbert S. Green

Thomas Dittrich