Hypothesis
Version 3
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The Theory of Quantum Uncertainties and Quantum Measurements
Version 1
: Received: 17 January 2022 / Approved: 20 January 2022 / Online: 20 January 2022 (10:30:56 CET)
Version 2 : Received: 7 March 2022 / Approved: 7 March 2022 / Online: 7 March 2022 (13:42:08 CET)
Version 3 : Received: 29 October 2022 / Approved: 31 October 2022 / Online: 31 October 2022 (04:32:16 CET)
Version 2 : Received: 7 March 2022 / Approved: 7 March 2022 / Online: 7 March 2022 (13:42:08 CET)
Version 3 : Received: 29 October 2022 / Approved: 31 October 2022 / Online: 31 October 2022 (04:32:16 CET)
How to cite: Anand, H. The Theory of Quantum Uncertainties and Quantum Measurements. Preprints 2022, 2022010297. https://doi.org/10.20944/preprints202201.0297.v3 Anand, H. The Theory of Quantum Uncertainties and Quantum Measurements. Preprints 2022, 2022010297. https://doi.org/10.20944/preprints202201.0297.v3
Abstract
1) We shall discuss what modern interpretations say about the Heisenberg's uncertainties. These interpretations explain that a quantity begins to 'lose' meaning when a conjugate property begins to 'acquire' definite meaning. We know that a quantity losing meaning means that it has no fixed value and has an uncertainty . In this paper we look deeper into this interpretation and the outcome reveals more evidence of the quantity losing meaning. Newer insights appear. 2) We consider two extreme cases of hypothetical processes nature undergoes, without interference by a measurement: One, a system collapses to an energy eigenstate under the influence of a Hamiltonian instantaneously at a time $t$. This is thus what would happen if we would measure the system's energy. Next, when a particle becomes localised to a point at a time $t_0$ under the influence of a Hamiltonian. This is thus what would happen if we would measure the system's position. We shall prove that both these situations cannot arise under ordinary circumstances and thus measurement processes cannot be modelled by physical Hamiltonians.
Keywords
Quantum speed limits; quantum information; Quantum computing
Subject
Physical Sciences, Mathematical Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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Commenter: Harsh Anand
Commenter's Conflict of Interests: Author
We now delve into an attempt to theoretically model a quantum measurement process. And then we look into the fundamental interpretation of the Quantum uncertainty relations and produce some new insights .