Foundations of Quantum Computing: I-Demystifying Quantum Paradoxes
Keywords:Quantum Mechanics, Quantum Computing, Quantum Paradoxes, Classical Mechanics, Wave Function, Principle of Superposition
Speedy developments in Quantum Technologies mandate that fundamentals of Quantum Computing are well explained and understood. Meanwhile, paradigms of so-called quantum non-locality, wave function (WF) “collapse”, “Schrödinger cat” and some other historically popular misconceptions continue to feed mysteries around quantum phenomena. Arguing that above misinterpretations stem from classically minded and experimentally unverifiable perceptions, recasting Principle of Superposition (PS), and key experimental details into classical notions. Revisiting main components of general quantum measurement protocols (analyzers and detectors), and explaining paradoxes of WF collapse and Schrödinger cat. Reminding that quantum measurements routinely reveal correlations dictated by conservation laws in each individual realization of the quantum ensemble, manifesting “correlation-by-initial conditions” in contrast to traditional “correlation-by-interactions”. We reiterate: Quantum Mechanics (QM) is not a dynamical theory in the same sense the Classical Mechanics (CM) is – it is a statistical phenomenology, as established in 1926 by Born’s postulate. That is, while QM rests on conservation laws in each individual outcome, it does not indicate how exactly a specific outcome is selected. This selection remains fundamentally random and represents true randomness of QM, the latter being a statistical paradigm with a WF standing for a complex-valued distribution function. Finally, PS is the backbone of a quantum measurement process: PS can be conveniently viewed as a composition of partial distributions into the total distribution – similar to classical probability mixtures – and is effectuated experimentally by the analyzer part of a measuring device.
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