Quantum Theory and Q-Methodology: Fictionalistic and Probabilistic Theories Conjoined

Ping Dong, Jinsoo Kim

Abstract : We consider quantum error-correcting codes over alphabets of arbitrary size. We generalize quantum stabilizer codes and develop Calderbank-Shor-Steane construction over quantum systems of arbitrary dimensions using the group structure of alphabets. We also develop a methodology systematically conjoining error-correcting codes into a new class of error-correcting codes. With the help of these methods we give several ways to construct quantum maximum distance separable (MDS) codes and present many families of quantum MDS codes.

Paul H. D. Stenner, Simon Watts

Simon Watts, Paul H. D. Stenner

David Deutsch

Claims that the standard procedure for testing scientific theories is inapplicable to Everettian quantum theory, and hence that the theory is untestable, are due to misconceptions about probability and about the logic of experimental testing. Refuting those claims by correcting those misconceptions leads to an improved theory of scientific methodology (based on Popper׳s) and testing, which allows various simplifications, notably the elimination of everything probabilistic from the methodology (‘Bayesian’ credences) and from fundamental physics (stochastic processes). • Everettian quantum theory is testable. • Stochastic theories suffer from a flaw in the logic of their testability. • Popper׳s methodology is needed to understand the testability of quantum theory.

Miroslav Svítek

This paper presents the theory of wave probabilistic models, which in turn represents the basic principles of quantum cybernetics. The features of the theory presented here are mathematically formulated, and selected illustrative examples demonstrate possible applications of the theory. The proposed methodology represents an original approach that emerges from defined assumptions like single-valuedness, the resonance principle, etc. From these simple assumptions, a set of principles of quantum cybernetics can be derived, e.g., quantization, spin, and entanglement.

Martin Strauss