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In a recent note David Mermin attributed the idea that wave function collapse is a physical process to a misunderstanding of probability and the role it plays in quantum mechanics. There are, however, further misconceptions at play, some of…

Quantum Physics · Physics 2022-10-26 Ulrich J. Mohrhoff

This paper presents arguments purporting to show that von Neumann's description of the measurement process in quantum mechanics has a modern day version in the decoherence approach. We claim that this approach and the de Broglie-Bohm theory…

Quantum Physics · Physics 2007-05-23 L. F. Santos , C. O. Escobar

This paper develops a number of quantum mechanical characterisations of Stern-Gerlach. It discusses areas of vagueness in their formulation. Philosophers criticise quantum mechanics for unacceptable vagueness in connection with the…

History and Philosophy of Physics · Physics 2019-11-05 Robert Shaw

It is shown that when properly analyzed using principles consistent with the use of a Hilbert space to describe microscopic properties, quantum mechanics is a local theory: one system cannot influence another system with which it does not…

Quantum Physics · Physics 2020-03-04 Robert B. Griffiths

The interpretation of quantum mechanics has been a problem since its founding days. A large contribution to the discussion of possible interpretations of quantum mechanics is given by the so-called impossibility proofs for hidden variable…

Quantum Physics · Physics 2010-02-09 Ronnie Hermens

The effects of any quantum measurement can be described by a collection of measurement operators {M_m} acting on the quantum state of the measured system. However, the Hilbert space formalism tends to obscure the relationship between the…

Quantum Physics · Physics 2009-11-07 Holger F. Hofmann

We reformulate the problem of the "interpretation of quantum mechanics" as the problem of DERIVING the quantum mechanical formalism from a set of simple physical postulates. We suggest that the common unease with taking quantum mechanics as…

High Energy Physics - Theory · Physics 2007-05-23 Carlo Rovelli

In 1927, Heisenberg heuristically disclosed the tradeoff between the error in the measurement and the caused disturbance on another complementary observable. In the quantum theory, most of uncertainty relations are proposed to reveal the…

Quantum Physics · Physics 2014-10-29 Li-Yi Hsu

Recently, Kosugi [arXiv:1504.03779v2 [quant-ph]] argued that Heisenberg's error-disturbance relation (EDR) must be interpreted as being between the resolution, the preparational error for the post-measurement observable, and the…

Quantum Physics · Physics 2015-05-20 Masanao Ozawa

Some of the problems connected with the interpretation of quantum mechanics are enumerated, in particular those related to some well known paradoxes and, above all, to the measurement process. We then show how the so called "Physics…

Quantum Physics · Physics 2026-01-05 Luigi E. Picasso

In this manuscript we derive the quantum Landau operator as the weak-coupling limit of the quantum Boltzmann operator (also known as the Uehling-Uhlenbeck operator). We consider both Fermi-Dirac and Bose-Einstein statistics. Our approach is…

Analysis of PDEs · Mathematics 2025-11-26 Maria Pia Gualdani , Nataša Pavlović , Justin Toyota , Dominic Wynter

Quantum computation is a topic of significant recent interest, with practical advances coming from both research and industry. A major challenge in quantum programming is dealing with errors (quantum noise) during execution. Because quantum…

Programming Languages · Computer Science 2018-12-04 Shih-Han Hung , Kesha Hietala , Shaopeng Zhu , Mingsheng Ying , Michael Hicks , Xiaodi Wu

(A point-by-point response to a comment (quant-ph/0509130) on our paper (quant-ph/0509089) is added as Appendix C. We find the comment incorrect.) Einstein's criticism of the Copenhagen interpretation of quantum mechanics is an important…

Quantum Physics · Physics 2007-05-23 Guang-Liang Li , Victor O. K. Li

Unitary operators are employed to investigate the violation of the Bell-CHSH inequality. The ensuing modifications affecting both classical and quantum bounds are elucidated. The relevance of a particular class of unitary operators whose…

Quantum Physics · Physics 2024-10-15 M. S. Guimaraes , I. Roditi , S. P. Sorella

In spite \smallskip of their popularity the \QTR{bf}{H}eisenberg's (``uncertainty'') \QTR{bf}{R}elations (HR) still generate controversies. The \QTR{bf}{T}raditional \QTR{bf}{I}nterpretation of HR (TIHR) dominate our days science, although…

Quantum Physics · Physics 2007-05-23 Spiridon Dumitru

The quantum mechanical wave-particle dualism is analyzed and criticized, in the framework of Reichenbach's concepts of phenomenon and interphenomenon. It is suggested that the dual pictures be de-emphasized in the study of quantum theory,…

Quantum Physics · Physics 2007-05-23 Helio V. Fagundes

Although Heisenberg's uncertainty principle is represented by a rigorously proven relation about intrinsic indeterminacy in quantum states, Heisenberg's error-disturbance relation (EDR) has been commonly believed as another aspect of the…

Quantum Physics · Physics 2021-04-27 Yuki Inoue , Masanao Ozawa

We still lack any consensus about what one is actually talking about as one uses quantum mechanics. There is a gap between the abstract terms in which the theory is couched and the phenomena the theory enables each of us to account for so…

Quantum Physics · Physics 2020-04-17 N. David Mermin

We explore the intersection of studies in quantum error correction and quantum local operations and classical communication (LOCC). We consider one-way LOCC measurement protocols as quantum channels and investigate their error correction…

Quantum Physics · Physics 2019-05-01 David Kribs , Comfort Mintah , Michael Nathanson , Rajesh Pereira

In a recent preprint [1] Jeffrey Bub presents a discussion of neo-Bohrian interpretations of quantum mechanics, and also of von Neumann's work on infinite tensor products [2]. He rightfully writes that this work provides a theoretical…

Quantum Physics · Physics 2025-12-30 Philippe Grangier