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

arXiv:1506.01615 · Optics Express

Einstein-Podolsky-Rosen paradox in single pairs of images

Éric Lantz, Séverine Denis, Paul‐Antoine Moreau, F. Devaux

Published Oct 1, 2015• 25 citations
arXivHTMLPDF

Abstract

Spatially entangled twin photons provide a test of the Einstein-Podolsky-Rosen (EPR) paradox in its original form of position (image plane) versus impulsion (Fourier plane). We show that recording a single pair of images in each plane is sufficient to safely demonstrate an EPR paradox. On each pair of images, we have retrieved the fluctuations by subtracting the fitted deterministic intensity shape and then have obtained an intercorrelation peak with a sufficient signal to noise ratio to safely distinguish this peak from random fluctuations. A 95% confidence interval has been determined, confirming a high degree of paradox whatever the considered single pairs. Last, we have verified that the value of the variance of the difference between twin images is always below the quantum (poissonian) limit, in order to ensure the particle character of the demonstration. Our demonstration shows that a single image pattern can reveal the quantum and non-local behavior of light.

DOI
10.1364/oe.23.026472

Related papers

The Einstein-Podolsky-Rosen (EPR) paradox in single couples of images

Éric Lantz, Séverine Denis, Paul‐Antoine Moreau +1 more

Spatially entangled twin photons provide a test of the Einstein-Podolsky-Rosen (EPR) paradox in its original form of position (image plane) versus impulsion (Fourier plane). We show that recording a single pair of images in each plane is sufficient to safely demonstrate an EPR paradox. On each pair of images, we have retrieved the fluctuations by subtracting the fitted deterministic intensity shape and then have obtained an intercorrelation peak with a sufficient signal to noise ratio to safely distinguish this peak from random fluctuations. A 95% confidence interval has been determined, confirming a high degree of paradox whatever the considered single pairs. Last, we have verified that the value of the variance of the difference between twin images is always below the quantum (poissonian) limit, in order to ensure the particle character of the demonstration. Our demonstration shows that a single image pattern can reveal the quantum and non-local behavior of light.

•Sep 13, 2015•0 citations

Einstein-Podolsky-Rosen Paradox in Twin Images

Paul‐Antoine Moreau, F. Devaux, Éric Lantz

Spatially entangled twin photons provide both promising resources for modern quantum information protocols, because of the high dimensionality of transverse entanglement, and a test of the Einstein-Podolsky-Rosen paradox in its original form of position versus impulsion. Usually, photons in temporal coincidence are selected and their positions recorded, resulting in a priori assumptions on their spatiotemporal behavior. In this Letter, we record, on two separate electron-multiplying charge coupled devices cameras, twin images of the entire flux of spontaneous down-conversion. This ensures a strict equivalence between the subsystems corresponding to the detection of either position (image or near-field plane) or momentum (Fourier or far-field plane). We report the highest degree of paradox ever reported and show that this degree corresponds to the number of independent degrees of freedom, or resolution cells, of the images.

arXiv:1404.3028•Physical Review Letters•Oct 14, 2014•104 citations

Einstein–Podolsky–Rosen paradox with position–momentum entangled macroscopic twin beams

Ashok Kumar, Gaurav Nirala, Alberto M. Marino

Abstract Spatial entanglement is at the heart of quantum enhanced imaging applications and high-dimensional quantum information protocols. In particular, for imaging and sensing applications, quantum states with a macroscopic number of photons are needed to provide a real advantage over the classical state-of-the-art. We demonstrate the Einstein–Podolsky–Rosen (EPR) paradox in its original position and momentum form with bright twin beams of light by showing the presence of EPR spatial (position–momentum) entanglement. An electron-multiplying charge-coupled-device camera is used to record images of the bright twin beams in the near and far field regimes to achieve an apparent violation of the uncertainty principle by more than an order of magnitude, which remains statistically significant even in the limit of a small number of images. We further show that the presence of quantum correlations in the spatial and temporal degrees of freedom leads to spatial squeezing of the bright twin beams in both the near and far fields. This provides another verification of the spatial entanglement and points to the presence of hyperentanglement in the bright twin beams.

arXiv:2007.09259•Quantum Science and Technology•Aug 6, 2021•24 citations

The Einstein-Podolsky-Rosen Paradox and Entanglement 1: Signatures of EPR correlations for continuous variables

M. D. Reid

A generalization of the 1935 Einstein-Podolsky-Rosen (EPR) argument for measurements with continuous variable outcomes is presented to establish criteria for the demonstration of the EPR paradox, for situations where the correlation between spatially separated subsystems is not perfect. Two types of criteria for EPR correlations are determined. The first type are based on measurements of the variances of conditional probability distributions and are necessary to reflect directly the situation of the original EPR paradox. The second weaker set of EPR criteria are based on the proven failure of (Bell-type) local realistic theories which could be consistent with a local quantum description for each subsystem. The relationship with criteria sufficient to prove entanglement is established, to show that any demonstration of EPR correlations will also signify entanglement. It is also shown how a demonstration of entanglement between two spatially separated subsystems, if not able to interpreted as a violation of a Bell-type inequality, may be interpreted as a demonstration of the EPR correlations. In particular it is explained how the experimental observation of two-mode squeezing using spatially separated detectors will signify not only entanglement but EPR correlations defined in a general sense.

arXiv:quant-ph/0112038•Dec 7, 2001•2 citations

Quantum twin images : Einstein-Podolsky-Rosen paradox in single pairs of images, and quantum temporal ghost imaging

Séverine Denis

Nous présentons dans ce mémoire deux travaux expérimentaux basés sur la formation d'images jumelles par des photons jumeaux : la mise en évidence d'un paradoxe de Einstein-Podolsky-Rosen (EPR) sur des paires uniques d'images jumelles, et la réalisation d'une expérience d'imagerie fantôme temporelle quantique. Les photons intriqués générés par amplifications paramétrique du bruit quantique permettent la formation d'images à la distribution de photons analogue dans le plan image, et symétrique dans le plan de Fourier : les images jumelles. Dans un premier chapitre nous proposons une description préalable de ces images jumelles, basée sur l'étude des propriétés des faisceaux jumeaux, ainsi que leur acquisition par des caméras EMCCD dans un régime de comptage de photons. Dans le second chapitre, nous mettons en évidence un paradoxe EPR sur des paires uniques d'images jumelles, sans aucun recours à des moyennes temporelles ou propriétés issues de l'ensemble des images. Nous montrons que les intercorrélations de seules deux paires d'images jumelles, l'une acquises dans le plan image et l'autre dans le plan de Fourier, sont suffisantes pour obtenir un degré de paradoxe élevé.Dans le dernier chapitre, nous montrons une expérience d'imagerie fantôme temporelle quantique. Dans cette expérience, les images jumelles sont utilisées pour multiplexer spatialement un signal temporel non répétable. Lorsque l'acquisition de ce signal cause la perte de sa résolution temporelle, les corrélations dues aux photons jumeaux permettent sa reconstitution.

•Nov 22, 2017•0 citations

Einstein-Podolsky-Rosen Entanglement of Narrow-Band Photons from Cold Atoms

Jong Chan Lee, Kwang-Kyoon Park, Tianming Zhao +1 more

Einstein-Podolsky-Rosen (EPR) entanglement introduced in 1935 deals with two particles that are entangled in their positions and momenta. Here we report the first experimental demonstration of EPR position-momentum entanglement of narrow-band photon pairs generated from cold atoms. By using two-photon quantum ghost imaging and ghost interference, we demonstrate explicitly that the narrow-band photon pairs violate the separability criterion, confirming EPR entanglement. We further demonstrate continuous variable EPR steering for positions and momenta of the two photons. Our new source of EPR-entangled narrow-band photons is expected to play an essential role in spatially multiplexed quantum information processing, such as, storage of quantum correlated images, quantum interface involving hyperentangled photons, etc.

arXiv:1606.02036•Physical Review Letters•Dec 13, 2016•52 citations
Spatially entangled twin photons provide a test of the Einstein-Podolsky-Rosen (EPR) paradox in its original form of position (image plane) versus impulsion (Fourier plane). We show that recording a single pair of images in each plane is sufficient to safely demonstrate an EPR paradox. On each pair of images, we have retrieved the fluctuations by subtracting the fitted deterministic intensity shape and then have obtained an intercorrelation peak with a sufficient signal to noise ratio to safely distinguish this peak from random fluctuations. A 95% confidence interval has been determined, confirming a high degree of paradox whatever the considered single pairs. Last, we have verified that the value of the variance of the difference between twin images is always below the quantum (poissonian) limit, in order to ensure the particle character of the demonstration. Our demonstration shows that a single image pattern can reveal the quantum and non-local behavior of light.
Spatially entangled twin photons provide a test of the Einstein-Podolsky-Rosen (EPR) paradox in its original form of position (image plane) versus impulsion (Fourier plane). We show that recording a single pair of images in each plane is sufficient to safely demonstrate an EPR paradox. On each pair of images, we have retrieved the fluctuations by subtracting the fitted deterministic intensity shape and then have obtained an intercorrelation peak with a sufficient signal to noise ratio to safely distinguish this peak from random fluctuations. A 95% confidence interval has been determined, confirming a high degree of paradox whatever the considered single pairs. Last, we have verified that the value of the variance of the difference between twin images is always below the quantum (poissonian) limit, in order to ensure the particle character of the demonstration. Our demonstration shows that a single image pattern can reveal the quantum and non-local behavior of light.
Spatially entangled twin photons provide both promising resources for modern quantum information protocols, because of the high dimensionality of transverse entanglement, and a test of the Einstein-Podolsky-Rosen paradox in its original form of position versus impulsion. Usually, photons in temporal coincidence are selected and their positions recorded, resulting in a priori assumptions on their spatiotemporal behavior. In this Letter, we record, on two separate electron-multiplying charge coupled devices cameras, twin images of the entire flux of spontaneous down-conversion. This ensures a strict equivalence between the subsystems corresponding to the detection of either position (image or near-field plane) or momentum (Fourier or far-field plane). We report the highest degree of paradox ever reported and show that this degree corresponds to the number of independent degrees of freedom, or resolution cells, of the images.
Abstract Spatial entanglement is at the heart of quantum enhanced imaging applications and high-dimensional quantum information protocols. In particular, for imaging and sensing applications, quantum states with a macroscopic number of photons are needed to provide a real advantage over the classical state-of-the-art. We demonstrate the Einstein–Podolsky–Rosen (EPR) paradox in its original position and momentum form with bright twin beams of light by showing the presence of EPR spatial (position–momentum) entanglement. An electron-multiplying charge-coupled-device camera is used to record images of the bright twin beams in the near and far field regimes to achieve an apparent violation of the uncertainty principle by more than an order of magnitude, which remains statistically significant even in the limit of a small number of images. We further show that the presence of quantum correlations in the spatial and temporal degrees of freedom leads to spatial squeezing of the bright twin beams in both the near and far fields. This provides another verification of the spatial entanglement and points to the presence of hyperentanglement in the bright twin beams.
A generalization of the 1935 Einstein-Podolsky-Rosen (EPR) argument for measurements with continuous variable outcomes is presented to establish criteria for the demonstration of the EPR paradox, for situations where the correlation between spatially separated subsystems is not perfect. Two types of criteria for EPR correlations are determined. The first type are based on measurements of the variances of conditional probability distributions and are necessary to reflect directly the situation of the original EPR paradox. The second weaker set of EPR criteria are based on the proven failure of (Bell-type) local realistic theories which could be consistent with a local quantum description for each subsystem. The relationship with criteria sufficient to prove entanglement is established, to show that any demonstration of EPR correlations will also signify entanglement. It is also shown how a demonstration of entanglement between two spatially separated subsystems, if not able to interpreted as a violation of a Bell-type inequality, may be interpreted as a demonstration of the EPR correlations. In particular it is explained how the experimental observation of two-mode squeezing using spatially separated detectors will signify not only entanglement but EPR correlations defined in a general sense.
Nous présentons dans ce mémoire deux travaux expérimentaux basés sur la formation d'images jumelles par des photons jumeaux : la mise en évidence d'un paradoxe de Einstein-Podolsky-Rosen (EPR) sur des paires uniques d'images jumelles, et la réalisation d'une expérience d'imagerie fantôme temporelle quantique. Les photons intriqués générés par amplifications paramétrique du bruit quantique permettent la formation d'images à la distribution de photons analogue dans le plan image, et symétrique dans le plan de Fourier : les images jumelles. Dans un premier chapitre nous proposons une description préalable de ces images jumelles, basée sur l'étude des propriétés des faisceaux jumeaux, ainsi que leur acquisition par des caméras EMCCD dans un régime de comptage de photons. Dans le second chapitre, nous mettons en évidence un paradoxe EPR sur des paires uniques d'images jumelles, sans aucun recours à des moyennes temporelles ou propriétés issues de l'ensemble des images. Nous montrons que les intercorrélations de seules deux paires d'images jumelles, l'une acquises dans le plan image et l'autre dans le plan de Fourier, sont suffisantes pour obtenir un degré de paradoxe élevé.Dans le dernier chapitre, nous montrons une expérience d'imagerie fantôme temporelle quantique. Dans cette expérience, les images jumelles sont utilisées pour multiplexer spatialement un signal temporel non répétable. Lorsque l'acquisition de ce signal cause la perte de sa résolution temporelle, les corrélations dues aux photons jumeaux permettent sa reconstitution.
Einstein-Podolsky-Rosen (EPR) entanglement introduced in 1935 deals with two particles that are entangled in their positions and momenta. Here we report the first experimental demonstration of EPR position-momentum entanglement of narrow-band photon pairs generated from cold atoms. By using two-photon quantum ghost imaging and ghost interference, we demonstrate explicitly that the narrow-band photon pairs violate the separability criterion, confirming EPR entanglement. We further demonstrate continuous variable EPR steering for positions and momenta of the two photons. Our new source of EPR-entangled narrow-band photons is expected to play an essential role in spatially multiplexed quantum information processing, such as, storage of quantum correlated images, quantum interface involving hyperentangled photons, etc.