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

Observing Quantum Entanglement: Interference Patterns and Breaking Bell's Inequality

Katherine Frazer, Jayne Gazzola, Maeve Beckett, Maggie Oxford, Kyle Edmond

Published Jun 22, 2021• 0 citations
OpenAlex

Abstract

In this two-part experiment, we studied the interference pattern of a laser pointer interfering with itself through a Mach-Zehnder interferometer as well as tested Bell’s Inequality for entangled particles via parametric down conversion. The predicted results were a fringe pattern that was purely circular with distinct fringes, however, the results of the laser pointer interference were inconclusive due to significant error in the alignment of the interferometer. In reference to the second part of our lab, due to COVID-19 restrictions, time ran out for us to complete data collection of the coincidence counts between the down converted beams of our Gallium Nitride laser. We attributed the lack of coincidence counts to error in the precision of the alignment of the optical apparatus. Thus, we used reference data instead to calculate the statistic, S=2.31 ± 0.04, to compare with Bell’s Inequality of |S| ≤ 2. Our result using the reference data did exceed Bell’s Inequality, as was expected of quantum mechanics, being non-local.

Related papers

Two-Photon Interference Experiment in a Mach-Zehnder Interferometer

Taesoo Kim, Heonoh Kim, Jeong-Hoon Ko +1 more

A two-photon interference experiment is presented in which an entangled pair of photons generated from a parametric down-conversion was incident on two input ports of a Mach-Zehnder interferometer. The experiment was carried out using two photon coincidence detection with two detectors at the two output ports of the interferometer. The measured coincidence counts exhibit an interference effect with visibility of 0.75 at simultaneous inputs and 0.38 at inputs with different arrival times according to the degree of photon number entanglement.

Journal of the Optical Society of Korea•Jun 1, 2003•11 citations

An energy–time Bell inequality in two-photon interferometry

Paul G. Kwiat, Aephraim M. Steinberg, R. Y. Chiao

We have performed an EPR-type experiment first proposed by Franson,1 resulting in two-particle interference that is both nonclassical and nonlocal. We used photon pairs produced in an entangled state of energy via spontaneous down-conversion. Each photon enters an unbalanced interferometer, and we detect singles and coincidence rates at the output ports. If the long- and short-arm path-length difference is much greater than the photons’ coherence lengths, no fringes are seen in singles as the arm lengths are varied. Yet when the difference between the path-length differences of the two interferometers is less than these coherence lengths, fringes are observed in coincidence, resulting from an interference of the (indistinguishable) “long–long” and “short–short" coincidence possibilities. If the electronic resolution is sufficient to eliminate the background of "short–long" and "long–short” coincidences, the visibility may be as high as 100%.2 For V > 71%, with certain reasonable auxiliary assumptions, Bell’s inequalities can be violated. The interpretation is that no local, realistic model can yield the observed results. The use of this type of entangled state is significant because it is much closer to the original EPR paradox than the spin-singlet case commonly considered.

Annual Meeting Optical Society of America•Jan 1, 1992•0 citations

Investigation of classical and quantum interference using interferometery

Adam Powell

As part of developing a Bell’s Inequality Test of Quantum Mechanics laboratory at CWU we have investigated classical interference using a Fabry-Perot and a Mach-Zehnder interferometer. The classical interference investigation was done using several HeNe lasers of different wavelengths. Optimization of data collection for the classical systems was accomplished by fabricating several pieces: a motorized micrometer platform, building a mount for a piezo electric tube, and building a fringe counting circuit. To investigate quantum interference the same Mach-Zhender interferometer was used but the HeNe laser beam was attenuated. We investigated alternative methods for attenuating the HeNe laser beam. An SBIG ST-7 CCD camera was evaluated for use as a single photon detector and used to collect data from the Mach-Zehnder interferometer. The results were compared with results using a single photon counting module. The results were consistent with the predictions of single photon interference in the Mach-Zehnder interferometer.

•Jan 1, 2012•0 citations

Experiment on nonclassical fourth-order interference

Z. Y. Ou, X. Y. Zou, L. J. Wang +1 more

A new fourth-order interference experiment has been carried out and analyzed theoretically in classical and in quantum terms. Two photons produced in the process of parametric down-conversion provide the two inputs to a Mach-Zehnder type of interferometer, while two photodetectors coupled to a coincidence counter measure the output. The coincidence rate, after subtraction of accidentals, exhibits a cosine variation with the optical path difference, in agreement with quantum mechanics, but in disagreement with a classical analysis. By contrast, when two coherent light beams from a He:Ne laser are used as inputs to the interferometer, no fourth-order interference is observed.

Physical Review A•Sep 1, 1990•117 citations

Violation of Bell’s Inequality with Photons from Independent Sources

T. B. Pittman, J. D. Franson

We report a violation of Bell's inequality using one photon from a parametric down-conversion source and a second photon from an attenuated laser beam. The two photons were entangled at a beam splitter using the postselection technique of Shih and Alley [Phys. Rev. Lett. 61, 2921 (1988)]]. A quantum interference pattern with a visibility of 91% was obtained using the photons from these independent sources, as compared with a visibility of 99.4% using two photons from a central parametric down-conversion source.

arXiv:quant-ph/0301169•Physical Review Letters•Jun 19, 2003•73 citations

A Test of Bell's Inequality for the Undergraduate Laboratory

B. Betchart

The thesis documents the work done over the year to initiate an undergraduate Advanced Laboratory experiment which tests Bell's inequality.It provides reference theory for the experiment, including explanations of Bell inequalities, basics of nonlinear optics, type-I downconversion and entanglement, and polarization states of the entangled photons.A main result is the equipment and design proposal for the experiment, which will cost a total 19600, led in price by the 9000 of a four photodetector array and followed by the 5000 of a 405nm pump laser.Entangled photons are produced by pumping BBO in a two-crystal geometry.Although most of the light is transmitted, some undergoes type-I parametric downconversion.Degenerate pairs are in a tunable entangled state and can be used to show non-classical behaviour.Specifically, a violation of the CHSH Bell inequality can be observed.Usable coincidence rates of several thousand per second are expected.Experimental and data analysis methods are described as the basis of future laboratory documentation.Explanations of equipment alignment and adjustment and data collection are included, as well as derivations of relevant analyses of the experimental data.Lastly the coincidence circuit built for the experiment is reviewed.The circuit costs less than 40 to construct and demonstrates a coincidence window of between 18ns and 36ns.

•Jan 1, 2004•5 citations
In this two-part experiment, we studied the interference pattern of a laser pointer interfering with itself through a Mach-Zehnder interferometer as well as tested Bell’s Inequality for entangled particles via parametric down conversion. The predicted results were a fringe pattern that was purely circular with distinct fringes, however, the results of the laser pointer interference were inconclusive due to significant error in the alignment of the interferometer. In reference to the second part of our lab, due to COVID-19 restrictions, time ran out for us to complete data collection of the coincidence counts between the down converted beams of our Gallium Nitride laser. We attributed the lack of coincidence counts to error in the precision of the alignment of the optical apparatus. Thus, we used reference data instead to calculate the statistic, S=2.31 ± 0.04, to compare with Bell’s Inequality of |S| ≤ 2. Our result using the reference data did exceed Bell’s Inequality, as was expected of quantum mechanics, being non-local.
A two-photon interference experiment is presented in which an entangled pair of photons generated from a parametric down-conversion was incident on two input ports of a Mach-Zehnder interferometer. The experiment was carried out using two photon coincidence detection with two detectors at the two output ports of the interferometer. The measured coincidence counts exhibit an interference effect with visibility of 0.75 at simultaneous inputs and 0.38 at inputs with different arrival times according to the degree of photon number entanglement.
We have performed an EPR-type experiment first proposed by Franson,1 resulting in two-particle interference that is both nonclassical and nonlocal. We used photon pairs produced in an entangled state of energy via spontaneous down-conversion. Each photon enters an unbalanced interferometer, and we detect singles and coincidence rates at the output ports. If the long- and short-arm path-length difference is much greater than the photons’ coherence lengths, no fringes are seen in singles as the arm lengths are varied. Yet when the difference between the path-length differences of the two interferometers is less than these coherence lengths, fringes are observed in coincidence, resulting from an interference of the (indistinguishable) “long–long” and “short–short" coincidence possibilities. If the electronic resolution is sufficient to eliminate the background of "short–long" and "long–short” coincidences, the visibility may be as high as 100%.2 For V > 71%, with certain reasonable auxiliary assumptions, Bell’s inequalities can be violated. The interpretation is that no local, realistic model can yield the observed results. The use of this type of entangled state is significant because it is much closer to the original EPR paradox than the spin-singlet case commonly considered.
As part of developing a Bell’s Inequality Test of Quantum Mechanics laboratory at CWU we have investigated classical interference using a Fabry-Perot and a Mach-Zehnder interferometer. The classical interference investigation was done using several HeNe lasers of different wavelengths. Optimization of data collection for the classical systems was accomplished by fabricating several pieces: a motorized micrometer platform, building a mount for a piezo electric tube, and building a fringe counting circuit. To investigate quantum interference the same Mach-Zhender interferometer was used but the HeNe laser beam was attenuated. We investigated alternative methods for attenuating the HeNe laser beam. An SBIG ST-7 CCD camera was evaluated for use as a single photon detector and used to collect data from the Mach-Zehnder interferometer. The results were compared with results using a single photon counting module. The results were consistent with the predictions of single photon interference in the Mach-Zehnder interferometer.
A new fourth-order interference experiment has been carried out and analyzed theoretically in classical and in quantum terms. Two photons produced in the process of parametric down-conversion provide the two inputs to a Mach-Zehnder type of interferometer, while two photodetectors coupled to a coincidence counter measure the output. The coincidence rate, after subtraction of accidentals, exhibits a cosine variation with the optical path difference, in agreement with quantum mechanics, but in disagreement with a classical analysis. By contrast, when two coherent light beams from a He:Ne laser are used as inputs to the interferometer, no fourth-order interference is observed.
We report a violation of Bell's inequality using one photon from a parametric down-conversion source and a second photon from an attenuated laser beam. The two photons were entangled at a beam splitter using the postselection technique of Shih and Alley [Phys. Rev. Lett. 61, 2921 (1988)]]. A quantum interference pattern with a visibility of 91% was obtained using the photons from these independent sources, as compared with a visibility of 99.4% using two photons from a central parametric down-conversion source.
The thesis documents the work done over the year to initiate an undergraduate Advanced Laboratory experiment which tests Bell's inequality.It provides reference theory for the experiment, including explanations of Bell inequalities, basics of nonlinear optics, type-I downconversion and entanglement, and polarization states of the entangled photons.A main result is the equipment and design proposal for the experiment, which will cost a total 19600, led in price by the 9000 of a four photodetector array and followed by the 5000 of a 405nm pump laser.Entangled photons are produced by pumping BBO in a two-crystal geometry.Although most of the light is transmitted, some undergoes type-I parametric downconversion.Degenerate pairs are in a tunable entangled state and can be used to show non-classical behaviour.Specifically, a violation of the CHSH Bell inequality can be observed.Usable coincidence rates of several thousand per second are expected.Experimental and data analysis methods are described as the basis of future laboratory documentation.Explanations of equipment alignment and adjustment and data collection are included, as well as derivations of relevant analyses of the experimental data.Lastly the coincidence circuit built for the experiment is reviewed.The circuit costs less than 40 to construct and demonstrates a coincidence window of between 18ns and 36ns.