Entropic Uncertainty Relations and the Quantum-to-Classical transition

Abstract

Our knowledge of quantum mechanics can satisfactorily describe simple, microscopic systems, but is yet to explain the macroscopic everyday phenomena we observe. Here we aim to shed some light on the quantum-to-classical transition as seen through the analysis of uncertainty relations. We employ entropic uncertainty relations to show that it is only by the inclusion of imprecision in our model of macroscopic measurements that we can prepare a system with two simultaneously well-defined quantities, even if their associated observables do not commute. We also establish how the precision of measurements must increase in order to keep quantum properties, a desirable feature for large quantum computers.

arXiv comment6 pages, 2 figures. v2 - Improved text, references added. Comments are welcome

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• Mesoscopic and macroscopic quantum correlations in photonic, atomic and optomechanical systems
• Quantum-to-classical transition via quantum cellular automata
• Quantum state inference from coarse-grained descriptions: analysis and an application to quantum thermodynamics