Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Conference on Lasers and Electro-Optics Pacific Rim (CLEO-PR)

Error-Disturbance Relations in Spin Measurement Using Faraday Interaction

Le Bin Ho, Keiichi Edamatsu

Published Jul 31, 2022• 0 citations
Publisher

Abstract

We model the quantum measurement of spin systems under the Faraday interaction with a polarized light meter and examine the error-disturbance relations comparing the Heisenberg-Arthurs-Kelly and the Branciard-Ozawa relations. © 2022 The Author(s)
DOI
10.1109/cleo-pr62338.2022.10432265

Related papers

Error-Disturbance relations in spin measurement using Faraday interaction

Le Bin Ho, Keiichi Edamatsu

We model the quantum measurement of spin systems under the Faraday interaction with a polarized light meter and examine the error-disturbance relations comparing the Heisenberg-Arthurs-Kelly and the Branciard-Ozawa relations.

Conference on Lasers and Electro-Optics Pacific Rim (CLEO-PR)•Jan 1, 2022•0 citations

Measurement of spin systems under the Faraday interaction

Le Bin Ho, Keiichi Edamatsu

We model the quantum measurement of spin systems under the Faraday inter-action with a polarized light meter and examine the error-disturbance relations comparing the Heisenberg-Arthurs-Kelly and the Branciard-Ozawa relations.

Quantum 2.0 Conference and Exhibition•Jan 1, 2022•0 citations

Aspects of universally valid Heisenberg uncertainty relation

Kazuo Fujikawa, Koichiro Umetsu

A numerical illustration of a universally valid Heisenberg uncertainty relation, which was proposed recently, is presented by using the experimental data on spin-measurements by J. Erhart et al. [Nat. Phys. 8, 185 (2012)]. This uncertainty relation is closely related to a modified form of the Arthurs–Kelly uncertainty relation, which is also tested by the spin-measurements. The universally valid Heisenberg uncertainty relation always holds, but both the modified Arthurs–Kelly uncertainty relation and the Heisenberg error–disturbance relation proposed by Ozawa, which was analyzed in the original experiment, fail in the present context of spin-measurements, and the cause of their failure is identified with the assumptions of unbiased measurement and disturbance. It is also shown that all the universally valid uncertainty relations are derived from Robertson's relation and thus the essence of the uncertainty relation is exhausted by Robertson's relation, as is widely accepted.

arXiv:1211.1828•Progress of Theoretical and Experimental Physics•Jan 1, 2013•9 citations

Error-disturbance uncertainty relations in neutron spin measurements

Stephan Sponar

Heisenberg’s uncertainty principle in a formulation of uncertainties, intrinsic to any quantum system, is rigorously proven and demonstrated in various quantum systems. Nevertheless, Heisenberg’s original formulation of the uncertainty principle was given in terms of a reciprocal relation between the error of a position measurement and the thereby induced disturbance on a subsequent momentum measurement. However, a naive generalization of a Heisenberg-type error-disturbance relation for arbitrary observables is not valid. An alternative universally valid relation was derived by Ozawa in 2003. Though universally valid, Ozawa’s relation is not optimal. Recently, Branciard has derived a tight error-disturbance uncertainty relation (EDUR), describing the optimal trade-off between error and disturbance under certain conditions. Here, we report a neutron-optical experiment that records the error of a spin-component measurement, as well as the disturbance caused on another spin-component to test EDURs. We demonstrate that Heisenberg’s original EDUR is violated, and Ozawa’s and Branciard’s EDURs are valid in a wide range of experimental parameters, as well as the tightness of Branciard’s relation.

International Journal of Quantum Information•May 21, 2016•0 citations

Error-Disturbance Uncertainty Relations in Neutron-Spin Measurements

Stephan Sponar, Georg Sulyok, Jaqueline Erhart +1 more

In his seminal paper, which was published in 1927, Heisenberg originally introduced a relation between the precision of a measurement and the disturbance it induces onto another measurement. Here, we report a neutron-optical experiment that records the error of a spin-component measurement as well as the disturbance caused on a measurement of another spin-component to test error-disturbance uncertainty relations (EDRs). We demonstrate that Heisenberg’s original EDR is violated and the Ozawa and Branciard EDRs are valid in a wide range of experimental parameters.

Advances in High Energy Physics•Jan 1, 2014•7 citations

Experimental test of error-disturbance relations in generalized photon-polarization measurements

So-Young Baek, Fumihiro Kaneda, Masanao Ozawa +1 more

We report an experimental test of Ozawa’s relation for a single-photon polarization qubit, exploiting an indirect measurement model that breaks Heisenberg’s relation throughout the range of our experimental parameter and yet validates Ozawa’s relation.

The Rochester Conferences on Coherence and Quantum Optics and the Quantum Information and Measurement meeting•Jan 1, 2013•0 citations
A numerical illustration of a universally valid Heisenberg uncertainty relation, which was proposed recently, is presented by using the experimental data on spin-measurements by J. Erhart et al. [Nat. Phys. 8, 185 (2012)]. This uncertainty relation is closely related to a modified form of the Arthurs–Kelly uncertainty relation, which is also tested by the spin-measurements. The universally valid Heisenberg uncertainty relation always holds, but both the modified Arthurs–Kelly uncertainty relation and the Heisenberg error–disturbance relation proposed by Ozawa, which was analyzed in the original experiment, fail in the present context of spin-measurements, and the cause of their failure is identified with the assumptions of unbiased measurement and disturbance. It is also shown that all the universally valid uncertainty relations are derived from Robertson's relation and thus the essence of the uncertainty relation is exhausted by Robertson's relation, as is widely accepted.
Heisenberg’s uncertainty principle in a formulation of uncertainties, intrinsic to any quantum system, is rigorously proven and demonstrated in various quantum systems. Nevertheless, Heisenberg’s original formulation of the uncertainty principle was given in terms of a reciprocal relation between the error of a position measurement and the thereby induced disturbance on a subsequent momentum measurement. However, a naive generalization of a Heisenberg-type error-disturbance relation for arbitrary observables is not valid. An alternative universally valid relation was derived by Ozawa in 2003. Though universally valid, Ozawa’s relation is not optimal. Recently, Branciard has derived a tight error-disturbance uncertainty relation (EDUR), describing the optimal trade-off between error and disturbance under certain conditions. Here, we report a neutron-optical experiment that records the error of a spin-component measurement, as well as the disturbance caused on another spin-component to test EDURs. We demonstrate that Heisenberg’s original EDUR is violated, and Ozawa’s and Branciard’s EDURs are valid in a wide range of experimental parameters, as well as the tightness of Branciard’s relation.
In his seminal paper, which was published in 1927, Heisenberg originally introduced a relation between the precision of a measurement and the disturbance it induces onto another measurement. Here, we report a neutron-optical experiment that records the error of a spin-component measurement as well as the disturbance caused on a measurement of another spin-component to test error-disturbance uncertainty relations (EDRs). We demonstrate that Heisenberg’s original EDR is violated and the Ozawa and Branciard EDRs are valid in a wide range of experimental parameters.