Composition rules of quantum subsystems

Shigeru Machida, Akio Motoyoshi

Miroslav Svítek

The paper presents the new approach to wave composition rules for advanced modeling of soft systems in quantum system theory.Firstly, the interpretation of phase parameters is given.The phase parameters are essential to specify the mathematical operations assigned to different relations among subsystems, e.g.co-operation, connection, co-existence, competition.Using wave composition rules, we are able to create more complex and sophisticated quantum circuits.We present the application of methodology on three illustrative examples.

Masahito Hayashi

Sahil Gopalkrishna Naik, Edwin Peter Lobo, Samrat Sen +5 more

Figuring out the physical rationale behind natural selection of quantum theory is one of the most acclaimed quests in quantum foundational research. This pursuit has inspired several axiomatic initiatives to derive a mathematical formulation of the theory by identifying the general structure of state and effect space of individual systems as well as specifying their composition rules. This generic framework can allow several consistent composition rules for a multipartite system even when state and effect cones of individual subsystems are assumed to be quantum. Nevertheless, for any bipartite system, none of these compositions allows beyond quantum spacelike correlations. In this Letter, we show that such bipartite compositions can admit stronger-than-quantum correlations in the timelike domain and, hence, indicates pragmatically distinct roles carried out by state and effect cones. We discuss consequences of such correlations in a communication task, which accordingly opens up a possibility of testing the actual composition between elementary quanta.

Mou-Hsiung Chang