liu.seSearch for publications in DiVA
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Detector efficiency in the Greenberger-Horne-Zeilinger paradox: independent errors
Linköping University, Department of Mathematics. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-1082-8325
1999 (English)In: Physical Review A. Atomic, Molecular, and Optical Physics, ISSN 1050-2947, E-ISSN 1094-1622, Vol. 59, no 6, 4801-4804 p.Article in journal (Refereed) Published
Abstract [en]

The Greenberger-Horne-Zeilinger (GHZ) paradox is subject to the detector-efficiency “loophole” in a similar manner as the Bell inequality. In a paper by J.-Å. Larsson [Phys. Rev. A 57, R3145 (1998)], the issue is investigated for very general assumptions. Here, the assumptions of constant efficiency and independent errors will be imposed, and it will be shown that the necessary and sufficient efficiency bound is not lowered, but remains at 75%. An explicit local-variable model is constructed in this paper to show the necessity of this bound. In other words, it is not possible to use the independence of experimental nondetection errors to rule out local realism in the GHZ paradox below 75% efficiency.

Place, publisher, year, edition, pages
1999. Vol. 59, no 6, 4801-4804 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-38611DOI: 10.1103/PhysRevA.59.4801Local ID: 44988OAI: oai:DiVA.org:liu-38611DiVA: diva2:259460
Available from: 2009-10-10 Created: 2009-10-10 Last updated: 2017-12-13
In thesis
1. Quantum paradoxes, probability theory, and change of ensemble
Open this publication in new window or tab >>Quantum paradoxes, probability theory, and change of ensemble
2000 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

In this thesis, the question "What kind of models can be used to describe microcosmos?" will be discussed. Being difficult and very large in scope, the question has here been restricted to whether or not Local Realistic models can be used to describe Quantum-Mechanical processes, one of a collection of questions often referred to as Quantum Paradoxes. Two such paradoxes will be investigated using techniques from probability theory: the Bell inequality and the Greenberger-Horne-Zeilinger (GHZ) paradox.

A problem with the two mentioned paradoxes is that they are only valid when the detectors are 100% efficient, whereas present experimental efficiency is much lower than that. Here, an approach is presented which enables a generalization of both the Bell inequality and the GHZ paradox to the inefficient case. This is done by introducing the concept of change of ensemble, which provides both qualitative and quantitative information on the nature of the "loophole" in the 100% efficiency prerequisite, and is more fundamental in this regard than the efficiency concept. Efficiency estimates are presented which are easy to obtain from experimental coincidence data, and a connection is established between these estimates and the concept of change of ensemble.

The concept is also studied in the context of Franson interferometry, where the Bell inequality cannot immediately be used. Unexpected subtleties occur when trying to establish whether or not a Local Realistic model of the data is possible even in the ideal case. A Local Realistic model of the experiment is presented, but nevertheless, by introducing an additional requirement on the experimental setup it is possible to refute the mentioned model and show that no other Local Realistic model exists.

Place, publisher, year, edition, pages
Linköping: Linköpings universitet, 2000. 92 p.
Series
Linköping Studies in Science and Technology. Dissertations, ISSN 0345-7524 ; 654
National Category
Mathematics
Identifiers
urn:nbn:se:liu:diva-38597 (URN)44907 (Local ID)91-7219-846-X (ISBN)44907 (Archive number)44907 (OAI)
Public defence
2000-11-10, Hörsal Planck, Fysikhuset, Linköpings Universitet, Linköping, 13:15 (Swedish)
Opponent
Available from: 2009-10-10 Created: 2009-10-10 Last updated: 2016-08-31

Open Access in DiVA

No full text

Other links

Publisher's full text

Authority records BETA

Larsson, Jan-Åke

Search in DiVA

By author/editor
Larsson, Jan-Åke
By organisation
Department of MathematicsThe Institute of Technology
In the same journal
Physical Review A. Atomic, Molecular, and Optical Physics
Mathematics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 518 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf