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Quantum Information Processing

Two symmetric measurements may cause an unforeseen effect

  • 01-02-2023
Published in:
Authors
Koji Nagata
Do Ngoc Diep
Tadao Nakamura
Published in
Quantum Information Processing | Issue 2/2023

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Abstract

The article delves into the intricacies of quantum mechanics, particularly focusing on the inconsistencies that arise when applying von Neumann's mathematical model to real experimental data. It challenges the assumption that the operations of addition and multiplication are equivalent in the context of commuting observables. The authors present four specific cases of symmetric measurement outcomes, demonstrating how these scenarios lead to unforeseen effects and inconsistencies. The uncertainty principle plays a central role in these discussions, as the authors argue that the experimental situations do not fully capture the essence of the principle. The article also explores the broader implications of these findings, suggesting that quantum mechanics may not be consistent when measuring only one observable. Throughout, the authors provide a meticulous analysis of the mathematical underpinnings of their arguments, making the article a valuable resource for those seeking a deeper understanding of the nuances in quantum mechanics.
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previous article Walking on vertices and edges by continuous-time quantum walk
next article Single-photon blockade in a hybrid optomechanical system involving two qubits in the presence of phononic number and coherent states
Title
Two symmetric measurements may cause an unforeseen effect
Authors
Koji Nagata
Do Ngoc Diep
Tadao Nakamura
Publication date
01-02-2023
Publisher
Springer US
Published in
Quantum Information Processing / Issue 2/2023
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-023-03841-5
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