Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Separable States on Density Matrices and Emergent Systems

Version 1 : Received: 12 September 2022 / Approved: 14 September 2022 / Online: 14 September 2022 (03:12:07 CEST)

A peer-reviewed article of this Preprint also exists.

Navarrete, Y.; Davis, S. Quantum Mutual Information, Fragile Systems and Emergence. Entropy 2022, 24, 1676. Navarrete, Y.; Davis, S. Quantum Mutual Information, Fragile Systems and Emergence. Entropy 2022, 24, 1676.

Abstract

In this paper, we propose a quantitative definition of emergence from the density matrix framework as a state of knowledge of the system and its generalized probability formulation, in order to detect emergent properties. We propose the use of a descriptor based on the difference of von Neumann entropy, to calculate if subsystems of systems have inner correlations by defining emergent systems in terms of emergent information.

Keywords

emergence; quantum theory; density matrix; subadditivity

Subject

Physical Sciences, Quantum Science and Technology

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