Foundations of Quantum Computing: I-Demystifying ‎Quantum Paradoxes

Quantum Mechanics‎

Authors

  • M.‎ Syrkin * Federal Reserve Bank Of New York, USA‎

DOI:

https://doi.org/10.55672/hij2022pp76-82

Keywords:

Quantum Mechanics‎, Quantum Computing‎, Quantum Paradoxes, Classical Mechanics, Wave Function, Principle of Superposition

Abstract

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.

Downloads

Download data is not yet available.

Author Biography

M.‎ Syrkin *, Federal Reserve Bank Of New York, USA‎

M.Syrkin 

Federal Reserve Bank Of New York, USA

References

‎[1]‎ A. C. J. P. o. S. Michalos, "Richard Feynman. The ‎character of physical law. Cambridge, Mass.: MIT ‎Press, 1965. 173 pp. $2.45," vol. 34, no. 2, pp. 194-‎‎194, 1967.‎

‎[2]‎ J. Von Neumann, Mathematical foundations of ‎quantum mechanics: New edition. Princeton ‎university press, 2018.‎

‎[3]‎ L. E. Ballentine, Quantum mechanics: a modern ‎development. World Scientific Publishing Company, ‎‎2014.‎

‎[4]‎ D. I. Blokhintsev, The philosophy of quantum ‎mechanics. Springer, 1968.‎

‎[5]‎ M. LI and L. po Optike, "Teorii Otnositel'nosti i ‎Kvantovoi Mekhanike (Lectures in Optics, Relativity ‎Theory, and Quantum Mechanics)," ed: Moscow: ‎Nauka, 1972.‎

‎[6]‎ K. V. Nikolsky, "Quantum Processes, Moscow," 1940.‎

‎[7]‎ J. A. Wheeler and W. H. Zurek, Quantum theory and ‎measurement. Princeton University Press, 2014.‎

‎[8]‎ F. London, E. J. Q. t. Bauer, and measurement, "The ‎theory of observation in quantum mechanics (1939)," ‎pp. 217-259, 1983.‎

‎[9]‎ D. Blokhintsev, "Statistical Ensembles in Quantum ‎Mechanics," in Quantum Mechanics, Determinism, ‎Causality, and Particles: Springer, 1976, pp. 147-158.‎

‎[10]‎ M. Flato, Z. Maric, A. Milojevic, D. Sternheimer, and ‎J. Vigier, Quantum Mechanics, Determinism, ‎Causality, and Particles: An International Collection ‎of Contributions in Honor of Louis de Broglie on the ‎Occasion of the Jubilee of His Celebrated Thesis. ‎Springer Science & Business Media, 2012.‎

‎[11]‎ M. A. Bean, Probability: The Science of Uncertainty: ‎The Science of Uncertainty with Applications to ‎Investments, Insurance, and Engineering. American ‎Mathematical Soc., 2001.‎

‎[12]‎ R. Feynman and A. Hibbs, "Quantum Mechanics and ‎Path Integrals. McGraw-Hill, New-York," 1965.‎

‎[13]‎ A. Einstein, B. Podolsky, and N. J. P. r. Rosen, "Can ‎quantum-mechanical description of physical reality ‎be considered complete?," vol. 47, no. 10, p. 777, ‎‎1935.‎

Published

2022-09-02

How to Cite

Syrkin *, M. (2022). Foundations of Quantum Computing: I-Demystifying ‎Quantum Paradoxes: Quantum Mechanics‎. Hyperscience International Journal, 2(3), 76–82. https://doi.org/10.55672/hij2022pp76-82