REVIEW 2 major objections 2 minor 51 references
Contrast enhanced imaging through weakly scattering media with spatially entangled photons
T0 review · 2 major / 2 minor · reviewed 2026-06-29 · grok-4.3
Pith's one-line read Coincidence detection on spatially correlated photon pairs isolates ballistic events to raise image contrast through weakly scattering media.
desk verdict Entangled-pair post-selection on spatial correlations improves contrast over single-photon detection in weak scatterers, but the separation between ballistic and scattered events may not be as clean as claimed. read the letter →
The pith
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
The reading
What carries the argument
Spatially entangled photon pairs whose position correlations survive only for ballistic trajectories and are destroyed by scattering; coincidence detection plus post-selection on those surviving correlations performs the isolation.
What would settle it
An experiment in which post-selection on spatial correlations fails to increase contrast or in which scattered photons still show the same position correlations as ballistic ones.
Extended reading notes
Core claim
Coincidence detection followed by post-selection on spatially correlated events isolates ballistic bi-photons from scattered bi-photons, thereby enhancing image contrast relative to a single-photon detection strategy while simultaneously removing events due to background light.
Load-bearing premise
Spatial correlations between the two photons of each pair remain intact for ballistic photons but are destroyed once either photon scatters.
Editorial extensions
If this is right
- Image contrast rises compared with single-photon detection.
- Background-light events are rejected without time gating or spatial filtering.
- The method works whether one or both photons illuminate the object.
- Higher shot noise from fewer selected events can be offset by summing multiple post-selection windows.
Reading between the lines
- The technique could extend to thicker or more strongly scattering samples if the correlation length is matched to the scattering mean free path.
- It may reduce the need for adaptive optics in biological or underwater imaging setups.
- Combining the post-selection with time-resolved detection could further suppress residual scattered light.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript claims that spatio-temporally entangled photon pairs enable contrast-enhanced imaging through weakly scattering media via coincidence detection followed by post-selection on spatially correlated events. This isolates ballistic bi-photons (preserving correlations) from scattered ones (losing correlations), yielding higher contrast than single-photon detection while also rejecting background light. Numerical simulations predict the effect, which is then confirmed experimentally in two configurations (both photons or only one illuminating the object).
Significance. If the isolation premise holds, the work extends quantum imaging into a regime where time-gating, adaptive optics, and spatial filtering are impractical, offering a correlation-based alternative that simultaneously suppresses background. The dual-configuration experiments and explicit acknowledgment of the shot-noise trade-off (partially mitigated by multi-window combination) are practical strengths.
major comments (2)
- [description of the post-selection procedure and correlation analysis] The central claim that post-selection on spatially correlated coincidence events isolates purely ballistic bi-photons rests on the assumption that scattering completely destroys the joint spatial correlation function while ballistic photons preserve it. In the weak-scattering regime the manuscript targets, forward-scattered photons can retain partial correlations inside a finite post-selection window; the paper must demonstrate (via simulation or measured correlation maps) that the residual correlation for scattered events is negligible within the windows actually used, otherwise the contrast gain is capped below the reported improvement.
- [experimental results and figures] The experimental confirmation is stated to show contrast improvement, yet the manuscript supplies no tabulated contrast ratios, error bars, or exclusion criteria for the two configurations. Without these quantitative metrics it is impossible to judge whether the observed gain exceeds the increased shot noise after multi-window combination, which is load-bearing for the practical utility claim.
minor comments (2)
- [abstract] The abstract asserts that predictions come from numerical simulations confirmed by experiment but reports no numerical contrast values or improvement factors; adding at least one representative number would strengthen the summary.
- [methods / data analysis] Clarify how the multiple post-selection windows are combined (e.g., weighted sum, union, or independent averaging) and whether this step introduces any bias in the reconstructed image.
Simulated Author's Rebuttal
We thank the referee for the careful reading and constructive feedback on our manuscript. We address each major comment below and will revise the manuscript to strengthen the presentation of our results.
read point-by-point responses
-
Referee: [description of the post-selection procedure and correlation analysis] The central claim that post-selection on spatially correlated coincidence events isolates purely ballistic bi-photons rests on the assumption that scattering completely destroys the joint spatial correlation function while ballistic photons preserve it. In the weak-scattering regime the manuscript targets, forward-scattered photons can retain partial correlations inside a finite post-selection window; the paper must demonstrate (via simulation or measured correlation maps) that the residual correlation for scattered events is negligible within the windows actually used, otherwise the contrast gain is capped below the reported improvement.
Authors: We acknowledge the referee's point that forward scattering in the weak regime could leave residual correlations. Our numerical simulations already incorporate a scattering model that tracks the evolution of the joint spatial correlation function, and the post-selection windows were chosen based on the simulated ballistic component. To make this explicit, we will add supplementary figures showing the simulated joint correlation maps separately for the ballistic and scattered photon pairs (within the exact windows used experimentally). These maps confirm that residual correlations for scattered events fall below the noise floor of our coincidence detection, validating the isolation assumption for the reported contrast gains. revision: yes
-
Referee: [experimental results and figures] The experimental confirmation is stated to show contrast improvement, yet the manuscript supplies no tabulated contrast ratios, error bars, or exclusion criteria for the two configurations. Without these quantitative metrics it is impossible to judge whether the observed gain exceeds the increased shot noise after multi-window combination, which is load-bearing for the practical utility claim.
Authors: We agree that tabulated quantitative metrics are necessary for assessing the trade-off with shot noise. In the revised manuscript we will add a table reporting contrast ratios (with standard-error bars from repeated acquisitions) for both illumination configurations, the precise post-selection window sizes and exclusion criteria, and a direct comparison of contrast improvement versus the effective noise increase before and after multi-window combination. This will allow readers to evaluate the net practical benefit. revision: yes
Circularity Check
No significant circularity; derivation rests on physical entanglement properties and external validation
full rationale
The paper's central claim—that post-selection on spatial correlations isolates ballistic bi-photons—follows from the standard quantum property that scattering disrupts joint spatial correlations while ballistic propagation preserves them. This is not derived from the authors' own fitted parameters, self-definitions, or prior self-citations; it is tested via independent numerical simulations and experiments in two configurations. No equations reduce a prediction to a quantity defined by the paper's inputs, and no load-bearing uniqueness theorem or ansatz is imported from self-citation. The approach is self-contained against external benchmarks of photon correlation physics.
Assumptions & free parameters
assumptions (1)
- domain assumption Spatial correlations between entangled photon pairs are preserved only for ballistic photons and destroyed by scattering.
Cite this review
Pith. "Pith review of Contrast enhanced imaging through weakly scattering media with spatially entangled photons." pith.science (2026). https://pith.science/paper/GQLPAS54
@misc{pith2026260528998,
author = {Pith},
title = {Pith review of: Contrast enhanced imaging through weakly scattering media with spatially entangled photons},
year = {2026},
howpublished = {\url{https://pith.science/paper/GQLPAS54}},
note = {Machine review of arXiv:2605.28998}
}
read the original abstract
Improving the image contrast of objects immersed in weakly scattering media can be achieved using various strategies. One common approach is to reject events associated with scattered photons in favor of the detection of ballistic photons. While this is traditionally done via time gating or spatial filtering, we propose a different approach based on probing the object with spatio-temporally entangled photon pairs. We show that coincidence detection, followed by post-selection on spatially correlated events, allows us to isolate ballistic from scattered bi-photons, thereby enhancing image contrast relative to a single-photon detection strategy, and simultaneously removes events due to background light. Our predictions are obtained via numerical simulations and confirmed by experiments conducted in two configurations where either both photons or only one illuminates the scene. In both scenarios, correlation post-selection shows an improvement in image contrast at the expense of higher shot noise due to the lower number of events. The latter can be partially compensated for by appropriately combining events from several post-selection windows. Our findings will enable extending imaging through scattering media into the quantum imaging framework in settings where adaptive optics, time gating, and spatial filtering are impractical.
Figures
Figures from the paper (2 more)
Reference graph
Works this paper leans on
-
[1]
Light fields in complex media: Mesoscopic scattering meets wave control,
Stefan Rotter and Sylvain Gigan, “Light fields in complex media: Mesoscopic scattering meets wave control,” Reviews of Modern Physics89, 015005 (2017)
2017
-
[2]
Imaging in complex media,
Jacopo Bertolotti and Ori Katz, “Imaging in complex media,” Nature Physics18, 1008–1017 (2022)
2022
-
[3]
Eric Akkermans and Gilles Montambaux,Mesoscopic physics of electrons and photons(Cambridge university press, 2007)
2007
-
[4]
Deep optical imaging within complex scattering media,
Seokchan Yoon, Moonseok Kim, Mooseok Jang, Youngwoon Choi, Wonjun Choi, Sungsam Kang, and Wonshik Choi, “Deep optical imaging within complex scattering media,” Nature Re- views Physics2, 141–158 (2020)
2020
-
[5]
Optical coherence tomography,
David Huang, Eric A Swanson, Charles P Lin, Joel S Schuman, William G Stinson, Warren Chang, Michael R Hee, Thomas Flotte, Kenton Gregory, Carmen A Puliafito,et al., “Optical coherence tomography,” science254, 1178–1181 (1991). 8
1991
-
[6]
Microscopic imaging through a turbid medium by use of annular objectives for angle gating,
Steven P Schilders, Xiaosong S Gan, and Min Gu, “Microscopic imaging through a turbid medium by use of annular objectives for angle gating,” Applied optics37, 5320–5326 (1998)
1998
-
[7]
Techniques for depth-resolved imaging through turbid media including coherence-gated imag- ing,
C Dunsby and PMW French, “Techniques for depth-resolved imaging through turbid media including coherence-gated imag- ing,” Journal of Physics D: Applied Physics36, R207–R227 (2003)
2003
-
[8]
236 (Springer Science & Business Media, 2006)
James Pawley,Handbook of biological confocal microscopy, V ol. 236 (Springer Science & Business Media, 2006)
2006
Show all 51 references
-
[9]
Nonlinear magic: multiphoton microscopy in the biosciences,
Warren R Zipfel, Rebecca M Williams, and Watt W Webb, “Nonlinear magic: multiphoton microscopy in the biosciences,” Nature biotechnology21, 1369–1377 (2003)
2003
-
[10]
Monte carlo simulation for confocal imaging through highly scattering media,
Min Gu and XS Gan, “Monte carlo simulation for confocal imaging through highly scattering media,” Scanning19, 148– 149 (1997)
1997
-
[11]
Microscopic imaging through turbid media,
Min Gu, Xiaosong Gan, and Xiaoyuan Deng, “Microscopic imaging through turbid media,” Springeer5, 201 (2015)
2015
-
[12]
Non- line-of-sight imaging,
Daniele Faccio, Andreas Velten, and Gordon Wetzstein, “Non- line-of-sight imaging,” Nature Reviews Physics2, 318–327 (2020)
2020
-
[13]
Holographic imagery through diffusing media,
Emmett N Leith and Juris Upatnieks, “Holographic imagery through diffusing media,” Journal of the Optical Society of America56, 523–523 (1966)
1966
-
[14]
Measuring the transmission matrix in optics: An approach to the study and control of light propagation in disordered media,
S´ebastien M Popoff, Geoffroy Lerosey, R´emi Carminati, Mathias Fink, Albert Claude Boccara, and Sylvain Gigan, “Measuring the transmission matrix in optics: An approach to the study and control of light propagation in disordered media,” Physical review letters104, 100601 (2010)
2010
-
[15]
De- terministic light focusing in space and time through multiple scattering media with a time-resolved transmission matrix ap- proach,
Mickael Mounaix, Hugo Defienne, and Sylvain Gigan, “De- terministic light focusing in space and time through multiple scattering media with a time-resolved transmission matrix ap- proach,” Physical Review A94, 041802 (2016)
2016
-
[16]
Guidestar-assisted wavefront-shaping methods for focusing light into biological tissue,
Roarke Horstmeyer, Haowen Ruan, and Changhuei Yang, “Guidestar-assisted wavefront-shaping methods for focusing light into biological tissue,” Nature photonics9, 563–571 (2015)
2015
-
[17]
Shaping the propagation of light in complex media,
Hui Cao, Allard Pieter Mosk, and Stefan Rotter, “Shaping the propagation of light in complex media,” Nature Physics18, 994– 1007 (2022)
2022
-
[18]
Imaging with quantum states of light,
Paul-Antoine Moreau, Ermes Toninelli, Thomas Gregory, and Miles J Padgett, “Imaging with quantum states of light,” Nature Reviews Physics1, 367–380 (2019)
2019
-
[19]
Advances in quantum imaging,
Hugo Defienne, Warwick P Bowen, Maria Chekhova, Gabriela Barreto Lemos, Dan Oron, Sven Ramelow, Nicolas Treps, and Daniele Faccio, “Advances in quantum imaging,” Nature Photonics18, 1024–1036 (2024)
2024
-
[20]
Imaging of biphoton states: Fundamentals and applications,
Alessio D’Errico and Ebrahim Karimi, “Imaging of biphoton states: Fundamentals and applications,” Advanced Functional Materials (2025), 10.1002/adfm.202526562
2025 doi
-
[21]
Quantum light in complex media and its applications,
Ohad Lib and Yaron Bromberg, “Quantum light in complex media and its applications,” Nature Physics18, 986–993 (2022)
2022
-
[22]
Unscrambling entanglement through a complex medium,
Natalia Herrera Valencia, Suraj Goel, Will McCutcheon, Hugo Defienne, and Mehul Malik, “Unscrambling entanglement through a complex medium,” Nature Physics16, 1112–1116 (2020)
2020
-
[23]
Quantifying high- dimensional spatial entanglement with a single-photon-sensitive time-stamping camera,
Baptiste Courme, Chlo´e Verni`ere, Peter Svihra, Sylvain Gigan, Andrei Nomerotski, and Hugo Defienne, “Quantifying high- dimensional spatial entanglement with a single-photon-sensitive time-stamping camera,” Optics letters48, 3439–3442 (2023)
2023
-
[24]
Two- photon speckle as a probe of multi-dimensional entanglement,
CWJ Beenakker, JWF Venderbos, and MP Van Exter, “Two- photon speckle as a probe of multi-dimensional entanglement,” Physical review letters102, 193601 (2009)
2009
-
[25]
Sta- tistical properties of two-photon speckles,
H Di Lorenzo Pires, J Woudenberg, and MP Van Exter, “Sta- tistical properties of two-photon speckles,” Physical Review A—Atomic, Molecular, and Optical Physics85, 033807 (2012)
2012
-
[26]
Speckle statistics of entangled photons,
Avraham Klein, Oded Agam, and Boris Spivak, “Speckle statistics of entangled photons,” Physical Review A94, 013828 (2016)
2016
-
[27]
Photon entanglement through brain tissue,
Lingyan Shi, Enrique J Galvez, and Robert R Alfano, “Photon entanglement through brain tissue,” Scientific reports6, 37714 (2016)
2016
-
[28]
Coherent backscattering of entangled photon pairs,
Mamoon Safadi, Ohad Lib, Ho-Chun Lin, Chia Wei Hsu, Arthur Goetschy, and Yaron Bromberg, “Coherent backscattering of entangled photon pairs,” Nature Physics19, 562–568 (2023)
2023
-
[29]
Nonclassical light ma- nipulation in a multiple-scattering medium,
H Defienne, M Barbieri, Beno ˆıt Chalopin, B ´eatrice Chatel, IA Walmsley, BJ Smith, and S Gigan, “Nonclassical light ma- nipulation in a multiple-scattering medium,” Optics letters39, 6090–6093 (2014)
2014
-
[30]
Adaptive quantum optics with spatially entangled photon pairs,
Hugo Defienne, Matthew Reichert, and Jason W Fleischer, “Adaptive quantum optics with spatially entangled photon pairs,” Physical review letters121, 233601 (2018)
2018
-
[31]
Shaping entangled photons through emulated turbulent atmo- sphere,
Ronen Shekel, Ohad Lib, Alon Sardas, and Yaron Bromberg, “Shaping entangled photons through emulated turbulent atmo- sphere,” OSA Continuum4, 2339–2350 (2021)
2021
-
[32]
Adaptive optical imaging with entangled photons,
Patrick Cameron, Baptiste Courme, Chlo´e Verni`ere, Raj Pandya, Daniele Faccio, and Hugo Defienne, “Adaptive optical imaging with entangled photons,” Science383, 1142–1148 (2024)
2024
-
[33]
Long- range time-of-flight scanning sensor based on high-speed time- correlated single-photon counting,
Aongus McCarthy, Robert J Collins, Nils J Krichel, Ver ´onica Fern´andez, Andrew M Wallace, and Gerald S Buller, “Long- range time-of-flight scanning sensor based on high-speed time- correlated single-photon counting,” Applied optics48, 6241– 6251 (2009)
2009
-
[34]
Partial immunity of two-photon correlation against wavefront distortion for spatially entangled photons,
Kiran Bajar, Rounak Chatterjee, Vikas S Bhat, and Sushil Mu- jumdar, “Partial immunity of two-photon correlation against wavefront distortion for spatially entangled photons,” APL Quan- tum2(2025)
2025
-
[35]
43 (Springer, 2007)
Zhe-Yu Jeff Ou,Multi-photon quantum interference, V ol. 43 (Springer, 2007)
2007
-
[36]
An ultrafast light gate,
MA Duguay and J-W Hansen, “An ultrafast light gate,” Applied physics letters15, 192–194 (1969)
1969
-
[37]
Femtosecond transillumina- tion optical coherence tomography,
Michael R Hee, Joseph A Izatt, Joseph M Jacobson, James G Fujimoto, and Eric A Swanson, “Femtosecond transillumina- tion optical coherence tomography,” Optics letters18, 950–952 (1993)
1993
-
[38]
Epsilon- near-zero time-gate for high-fidelity spatial information transfer through dynamic scattering media,
Yang Xu, Saumya Choudhary, Long D Nguyen, Matthew Klein, Shivashankar Vangala, J Keith Miller, Eric G Johnson, Joshua R Hendrickson, M Zahirul Alam, and Robert W Boyd, “Epsilon- near-zero time-gate for high-fidelity spatial information transfer through dynamic scattering media...
2026
-
[39]
Image enhancement through turbid media under a microscope by use of polarization gating methods,
X Gan, SP Schilders, and Min Gu, “Image enhancement through turbid media under a microscope by use of polarization gating methods,” Journal of the Optical Society of America A16, 2177– 2184 (1999)
1999
-
[40]
Spatial correlations in parametric down-conversion,
S. P. Walborn, C. H. Monken, S. P´adua, and P. H. Souto Ribeiro, “Spatial correlations in parametric down-conversion,” Physics Reports495, 87–139 (2010)
2010
-
[41]
Imaging spatiotemporal hong-ou-mandel interference of biphoton states of extremely high schmidt number,
Fabrice Devaux, Alexis Mosset, Paul-Antoine Moreau, and Eric Lantz, “Imaging spatiotemporal hong-ou-mandel interference of biphoton states of extremely high schmidt number,” Physical Review X10, 031031 (2020)
2020
-
[42]
High-speed imaging of spatiotem- poral correlations in hong-ou-mandel interference,
Xiaoqin Gao, Yingwen Zhang, Alessio D’Errico, Khabat Hes- hami, and Ebrahim Karimi, “High-speed imaging of spatiotem- poral correlations in hong-ou-mandel interference,” Optics Ex- press30, 19456–19464 (2022)
2022
-
[43]
Intensified tpx3cam, a fast data-driven optical camera with nanosecond timing resolution 9 for single photon detection in quantum applications,
Andrei Nomerotski, Matthew Chekhlov, Denis Dolzhenko, Rene Glazenborg, Brianna Farella, Michael Keach, Ryan Mahon, Dmitry Orlov, and Peter Svihra, “Intensified tpx3cam, a fast data-driven optical camera with nanosecond timing resolution 9 for single photon detection in quantum...
2023
-
[44]
Characterisation of a single photon event cam- era for quantum imaging,
Victor Vidyapin, Yingwen Zhang, Duncan England, and Ben- jamin Sussman, “Characterisation of a single photon event cam- era for quantum imaging,” Scientific Reports13, 1009 (2023)
2023
-
[45]
Interferometric imaging of ampli- tude and phase of spatial biphoton states,
Danilo Zia, Nazanin Dehghan, Alessio D’Errico, Fabio Sciar- rino, and Ebrahim Karimi, “Interferometric imaging of ampli- tude and phase of spatial biphoton states,” Nature Photonics17, 1009–1016 (2023)
2023
-
[46]
Quantum enhanced non-interferometric quantitative phase imaging,
Giuseppe Ortolano, Alberto Paniate, Pauline Boucher, Carmine Napoli, Sarika Soman, Silvania F Pereira, Ivano Ruo-Berchera, and Marco Genovese, “Quantum enhanced non-interferometric quantitative phase imaging,” Light: Science & Applications12, 171 (2023)
2023
-
[47]
Biphoton state reconstruction via phase retrieval methods,
Nazanin Dehghan, Alessio D’Errico, Francesco Di Colandrea, and Ebrahim Karimi, “Biphoton state reconstruction via phase retrieval methods,” Optica11, 1115–1123 (2024)
2024
-
[48]
Diffraction of corre- lated biphotons through transparent samples,
Nazanin Dehghan, Alessio D’Errico, Yingwen Zhang, Ben- jamin Sussman, and Ebrahim Karimi, “Diffraction of corre- lated biphotons through transparent samples,” arXiv preprint arXiv:2410.22635 (2024)
2024
-
[49]
Fast adap- tive optics for high-dimensional quantum communications in turbulent channels,
Lukas Scarfe, Felix Hufnagel, Manuel F Ferrer-Garcia, Alessio D’Errico, Khabat Heshami, and Ebrahim Karimi, “Fast adap- tive optics for high-dimensional quantum communications in turbulent channels,” Communications Physics8, 79 (2025)
2025
-
[50]
Entanglement-enabled image transmission through complex media,
Chlo´e Verni`ere, Rapha¨el Guitter, Baptiste Courme, and Hugo Defienne, “Entanglement-enabled image transmission through complex media,” Nature Physics , 1–8 (2026)
2026
-
[51]
Non-classical optimization of entangled photons through complex media,
Baptiste Courme, Chlo ´e Verni`ere, Malo Joly, Daniele Faccio, Sylvain Gigan, and Hugo Defienne, “Non-classical optimization of entangled photons through complex media,” Optica13, 968– 976 (2026). Author ContributionsAD and YK conceived the idea. AD developed the simulations. ...
2026
Reviewed June 29, 2026 · model on record in the stance chip above.
Discussion (0). Sign in to comment.