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Title: Quantum phase-sensitive diffraction and imaging using entangled photons

Abstract

We propose a quantum diffraction imaging technique whereby one photon of an entangled pair is diffracted off a sample and detected in coincidence with its twin. The image is obtained by scanning the photon that did not interact with matter. We show that when a dynamical quantum system interacts with an external field, the phase information is imprinted in the state of the field in a detectable way. The contribution to the signal from photons that interact with the sample scales as I p 1 / 2 , where I p is the source intensity, compared with I p of classical diffraction. This makes imaging with weak fields possible, providing high signal-to-noise ratio, avoiding damage to delicate samples. A Schmidt decomposition of the state of the field can be used for image enhancement by reweighting the Schmidt modes contributions.

Authors:
; ; ORCiD logo
Publication Date:
Research Org.:
Univ. of California, Irvine, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Chemical Sciences, Geosciences, and Biosciences Division; National Science Foundation (NSF)
OSTI Identifier:
1515584
Alternate Identifier(s):
OSTI ID: 1609516
Grant/Contract Number:  
FG02-04ER15571; SC0019484; CHE-1663822
Resource Type:
Published Article
Journal Name:
Proceedings of the National Academy of Sciences of the United States of America
Additional Journal Information:
Journal Name: Proceedings of the National Academy of Sciences of the United States of America; Journal ID: ISSN 0027-8424
Publisher:
National Academy of Sciences
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; quantum imaging; entangled protons; quantum diffraction; phase-sensitive imaging

Citation Formats

Asban, Shahaf, Dorfman, Konstantin E., and Mukamel, Shaul. Quantum phase-sensitive diffraction and imaging using entangled photons. United States: N. p., 2019. Web. doi:10.1073/pnas.1904839116.
Asban, Shahaf, Dorfman, Konstantin E., & Mukamel, Shaul. Quantum phase-sensitive diffraction and imaging using entangled photons. United States. https://doi.org/10.1073/pnas.1904839116
Asban, Shahaf, Dorfman, Konstantin E., and Mukamel, Shaul. Thu . "Quantum phase-sensitive diffraction and imaging using entangled photons". United States. https://doi.org/10.1073/pnas.1904839116.
@article{osti_1515584,
title = {Quantum phase-sensitive diffraction and imaging using entangled photons},
author = {Asban, Shahaf and Dorfman, Konstantin E. and Mukamel, Shaul},
abstractNote = {We propose a quantum diffraction imaging technique whereby one photon of an entangled pair is diffracted off a sample and detected in coincidence with its twin. The image is obtained by scanning the photon that did not interact with matter. We show that when a dynamical quantum system interacts with an external field, the phase information is imprinted in the state of the field in a detectable way. The contribution to the signal from photons that interact with the sample scales as ∝ I p 1 / 2 , where I p is the source intensity, compared with ∝ I p of classical diffraction. This makes imaging with weak fields possible, providing high signal-to-noise ratio, avoiding damage to delicate samples. A Schmidt decomposition of the state of the field can be used for image enhancement by reweighting the Schmidt modes contributions.},
doi = {10.1073/pnas.1904839116},
journal = {Proceedings of the National Academy of Sciences of the United States of America},
number = ,
volume = ,
place = {United States},
year = {2019},
month = {5}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1073/pnas.1904839116

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Cited by: 4 works
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Works referenced in this record:

Nonlinear optical spectroscopy of single, few, and many molecules: Nonequilibrium Green’s function QED approach
journal, February 2008


Monitoring Spontaneous Charge-Density Fluctuations by Single-Molecule Diffraction of Quantum Light
journal, January 2019

  • Dorfman, Konstantin E.; Asban, Shahaf; Ye, Lyuzhou
  • The Journal of Physical Chemistry Letters, Vol. 10, Issue 4
  • DOI: 10.1021/acs.jpclett.9b00071

Multidimensional pump-probe spectroscopy with entangled twin-photon states
journal, June 2009


Computational ghost imaging
journal, December 2008


“Two-Photon” Coincidence Imaging with a Classical Source
journal, August 2002


Quantum imaging with undetected photons
journal, August 2014

  • Lemos, Gabriela Barreto; Borish, Victoria; Cole, Garrett D.
  • Nature, Vol. 512, Issue 7515
  • DOI: 10.1038/nature13586

Photon statistics of intense entangled photon pulses
journal, August 2013


Entangled quantum systems and the Schmidt decomposition
journal, May 1995

  • Ekert, Artur; Knight, Peter L.
  • American Journal of Physics, Vol. 63, Issue 5
  • DOI: 10.1119/1.17904

New theory of partial coherence in the space–frequency domain Part I: spectra and cross spectra of steady-state sources
journal, January 1982


Highly indistinguishable and strongly entangled photons from symmetric GaAs quantum dots
journal, May 2017

  • Huber, Daniel; Reindl, Marcus; Huo, Yongheng
  • Nature Communications, Vol. 8, Issue 1
  • DOI: 10.1038/ncomms15506

Analysis and Interpretation of High Transverse Entanglement in Optical Parametric Down Conversion
journal, March 2004


Survey: interpolation methods in medical image processing
journal, January 1999

  • Lehmann, T. M.; Gonner, C.; Spitzer, K.
  • IEEE Transactions on Medical Imaging, Vol. 18, Issue 11
  • DOI: 10.1109/42.816070

Femtosecond X-ray protein nanocrystallography
journal, February 2011

  • Chapman, Henry N.; Fromme, Petra; Barty, Anton
  • Nature, Vol. 470, Issue 7332, p. 73-77
  • DOI: 10.1038/nature09750

Phase retrieval algorithms: a comparison
journal, January 1982


EPR-based ghost imaging using a single-photon-sensitive camera
journal, July 2013


X-Ray Parametric Down-Conversion in the Langevin Regime
journal, July 2012


Phase retrieval by iterated projections
journal, January 2003


Theory of parametric frequency down conversion of light
journal, April 1985


Imaging high-dimensional spatial entanglement with a camera
journal, January 2012

  • Edgar, M. P.; Tasca, D. S.; Izdebski, F.
  • Nature Communications, Vol. 3, Issue 1
  • DOI: 10.1038/ncomms1988

Angular Schmidt modes in spontaneous parametric down-conversion
journal, June 2011


Observation of three-photon bound states in a quantum nonlinear medium
journal, February 2018

  • Liang, Qi-Yu; Venkatramani, Aditya V.; Cantu, Sergio H.
  • Science, Vol. 359, Issue 6377
  • DOI: 10.1126/science.aao7293

Spectral information and distinguishability in type-II down-conversion with a broadband pump
journal, August 1997


Realization of the Einstein-Podolsky-Rosen Paradox Using Momentum- and Position-Entangled Photons from Spontaneous Parametric Down Conversion
journal, May 2004


Potential for biomolecular imaging with femtosecond X-ray pulses
journal, August 2000

  • Neutze, Richard; Wouts, Remco; van der Spoel, David
  • Nature, Vol. 406, Issue 6797
  • DOI: 10.1038/35021099

Entanglement of Formation for Symmetric Gaussian States
journal, September 2003


Entanglement of the orbital angular momentum states of photons
journal, July 2001

  • Mair, Alois; Vaziri, Alipasha; Weihs, Gregor
  • Nature, Vol. 412, Issue 6844
  • DOI: 10.1038/35085529

Spatial correlations in parametric down-conversion
journal, October 2010


Quantum entanglement of angular momentum states with quantum numbers up to 10,010
journal, November 2016

  • Fickler, Robert; Campbell, Geoff; Buchler, Ben
  • Proceedings of the National Academy of Sciences, Vol. 113, Issue 48
  • DOI: 10.1073/pnas.1616889113

Ghost Imaging with Thermal Light: Comparing Entanglement and ClassicalCorrelation
journal, August 2004