Insolubility from No-Signalling

Guido Bacciagaluppi

Research output: Contribution to journalArticle

4 Downloads (Pure)

Abstract

This paper improves on the result in my [1], showing that within the framework of the unitary Schroedinger equation it is impossible to reproduce the phenomenological description of quantum mechanical measurements (in particular the collapse of the state of the measured system) by assuming a suitable mixed initial state of the apparatus. The result follows directly from the no-signalling theorem applied to the entangled state of measured system and ancilla. As opposed to many other 'insolubility theorems' for the measurement problem of quantum mechanics, it focuses on the impossibility of reproducing the phenomenological collapse of the state of the measured system.
Original languageEnglish
Pages (from-to)3465-3474
Number of pages10
JournalInternational Journal of Theoretical Physics
Volume53
Issue number10
Early online date21 Nov 2013
DOIs
Publication statusPublished - Oct 2014

Fingerprint

theorems
Schroedinger equation
mechanical measurement
quantum mechanics
Entangled State
Theorem
Quantum Mechanics
Framework

Keywords

  • measurement problem
  • insolubility
  • no-signalling
  • Von Neumann

Cite this

Insolubility from No-Signalling. / Bacciagaluppi, Guido.

In: International Journal of Theoretical Physics, Vol. 53, No. 10, 10.2014, p. 3465-3474.

Research output: Contribution to journalArticle

Bacciagaluppi, Guido. / Insolubility from No-Signalling. In: International Journal of Theoretical Physics. 2014 ; Vol. 53, No. 10. pp. 3465-3474.
@article{b6a60927d5f745c69bf7ca8f0a92f9c6,
title = "Insolubility from No-Signalling",
abstract = "This paper improves on the result in my [1], showing that within the framework of the unitary Schroedinger equation it is impossible to reproduce the phenomenological description of quantum mechanical measurements (in particular the collapse of the state of the measured system) by assuming a suitable mixed initial state of the apparatus. The result follows directly from the no-signalling theorem applied to the entangled state of measured system and ancilla. As opposed to many other 'insolubility theorems' for the measurement problem of quantum mechanics, it focuses on the impossibility of reproducing the phenomenological collapse of the state of the measured system.",
keywords = "measurement problem, insolubility, no-signalling, Von Neumann",
author = "Guido Bacciagaluppi",
note = "I wish to thank audiences at Aberdeen, Berlin, Cagliari and Oxford, as well as Arthur Fine and Max Schlosshauer, who heard or read and commented on previous versions of this and connected material. I am particularly indebted to Alex Blum, Martin J{\"a}hnert and especially Christoph Lehner for discussions of Einstein’s argument and of how it might relate (or not) to von Neumann’s. These discussions also helped me redirect my use of the no-signalling theorem to the general case of measurements with ancillas, whether or not there is spatial separation. Finally, I wish to thank Elise Crull, my collaborator on the Leverhulme Trust Project Grant ‘The Einstein Paradox’: The Debate on Nonlocality and Incompleteness in 1935 (project grant nr. F/00 152/AN), during the tenure of which this paper was written.",
year = "2014",
month = "10",
doi = "10.1007/s10773-013-1821-y",
language = "English",
volume = "53",
pages = "3465--3474",
journal = "International Journal of Theoretical Physics",
issn = "0020-7748",
publisher = "Springer New York",
number = "10",

}

TY - JOUR

T1 - Insolubility from No-Signalling

AU - Bacciagaluppi, Guido

N1 - I wish to thank audiences at Aberdeen, Berlin, Cagliari and Oxford, as well as Arthur Fine and Max Schlosshauer, who heard or read and commented on previous versions of this and connected material. I am particularly indebted to Alex Blum, Martin Jähnert and especially Christoph Lehner for discussions of Einstein’s argument and of how it might relate (or not) to von Neumann’s. These discussions also helped me redirect my use of the no-signalling theorem to the general case of measurements with ancillas, whether or not there is spatial separation. Finally, I wish to thank Elise Crull, my collaborator on the Leverhulme Trust Project Grant ‘The Einstein Paradox’: The Debate on Nonlocality and Incompleteness in 1935 (project grant nr. F/00 152/AN), during the tenure of which this paper was written.

PY - 2014/10

Y1 - 2014/10

N2 - This paper improves on the result in my [1], showing that within the framework of the unitary Schroedinger equation it is impossible to reproduce the phenomenological description of quantum mechanical measurements (in particular the collapse of the state of the measured system) by assuming a suitable mixed initial state of the apparatus. The result follows directly from the no-signalling theorem applied to the entangled state of measured system and ancilla. As opposed to many other 'insolubility theorems' for the measurement problem of quantum mechanics, it focuses on the impossibility of reproducing the phenomenological collapse of the state of the measured system.

AB - This paper improves on the result in my [1], showing that within the framework of the unitary Schroedinger equation it is impossible to reproduce the phenomenological description of quantum mechanical measurements (in particular the collapse of the state of the measured system) by assuming a suitable mixed initial state of the apparatus. The result follows directly from the no-signalling theorem applied to the entangled state of measured system and ancilla. As opposed to many other 'insolubility theorems' for the measurement problem of quantum mechanics, it focuses on the impossibility of reproducing the phenomenological collapse of the state of the measured system.

KW - measurement problem

KW - insolubility

KW - no-signalling

KW - Von Neumann

U2 - 10.1007/s10773-013-1821-y

DO - 10.1007/s10773-013-1821-y

M3 - Article

VL - 53

SP - 3465

EP - 3474

JO - International Journal of Theoretical Physics

JF - International Journal of Theoretical Physics

SN - 0020-7748

IS - 10

ER -