Foundations of Quantum Computing: II. The Many Faces of ‎Quantum Uncertainty

Abstract

In this Part II we focus on a few key elements of quantum mechanics essential for understanding of quantum technologies ‎and computing. We begin with a subtle but important similarity between classical and quantum mechanics which is typically ‎overlooked in favor of apparent differences. Further, it is reminded that classical motion can be obtained via averaging ‎over quantum distributions/wave functions and, conversely, quantum distributions can be recast as a superposition of virtual ‎classical paths. Relatedly, we emphasize the importance of the case intermediate between classical and quantum mechanics – ‎that is, quasi-classical mechanics. The above background facilitates additional insights and heuristics into the mechanisms of ‎widely acclaimed long-distance correlations in quantum mechanics and the origins of the coherency in quantum ensembles in the ‎context of wave-particle duality. ‎