DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Phase estimation algorithm for the multibeam optical metrology

Abstract

Unitary Fourier transform lies at the core of the multitudinous computational and metrological algorithms. Here we show experimentally how the unitary Fourier transform-based phase estimation protocol, used namely in quantum metrology, can be translated into the classical linear optical framework. The developed setup made of beam splitters, mirrors and phase shifters demonstrates how the classical coherence, similarly to the quantum coherence, poses a resource for obtaining information about the measurable physical quantities. Our study opens route to the reliable implementation of the small-scale unitary algorithms on path-encoded qudits, thus establishing an easily accessible platform for unitary computation.

Authors:
 [1];  [2];  [3];  [1]; ORCiD logo [4];  [4]; ORCiD logo [5];  [1]
  1. Moscow Inst. of Physics and Technology (MIPT), Moscow (Russian Federation)
  2. Moscow Inst. of Physics and Technology (MIPT), Moscow (Russian Federation); Univ. of Chicago, IL (United States); Aalto Univ., Otaniemi (Finland)
  3. Moscow Inst. of Physics and Technology (MIPT), Moscow (Russian Federation); Aalto Univ., Otaniemi (Finland)
  4. Moscow Inst. of Physics and Technology (MIPT), Moscow (Russian Federation); Russian Academy of Sciences (RAS), Moscow (Russian Federation)
  5. Univ. of Chicago, IL (United States); Argonne National Lab. (ANL), Argonne, IL (United States)
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division
OSTI Identifier:
1637468
Grant/Contract Number:  
AC02-06CH11357
Resource Type:
Accepted Manuscript
Journal Name:
Scientific Reports
Additional Journal Information:
Journal Volume: 10; Journal Issue: 1; Journal ID: ISSN 2045-2322
Publisher:
Nature Publishing Group
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Zemlyanov, V. V., Kirsanov, N. S., Perelshtein, M. R., Lykov, D. I., Misochko, O. V., Lebedev, M. V., Vinokur, V. M., and Lesovik, G. B. Phase estimation algorithm for the multibeam optical metrology. United States: N. p., 2020. Web. doi:10.1038/s41598-020-65466-3.
Zemlyanov, V. V., Kirsanov, N. S., Perelshtein, M. R., Lykov, D. I., Misochko, O. V., Lebedev, M. V., Vinokur, V. M., & Lesovik, G. B. Phase estimation algorithm for the multibeam optical metrology. United States. https://doi.org/10.1038/s41598-020-65466-3
Zemlyanov, V. V., Kirsanov, N. S., Perelshtein, M. R., Lykov, D. I., Misochko, O. V., Lebedev, M. V., Vinokur, V. M., and Lesovik, G. B. Tue . "Phase estimation algorithm for the multibeam optical metrology". United States. https://doi.org/10.1038/s41598-020-65466-3. https://www.osti.gov/servlets/purl/1637468.
@article{osti_1637468,
title = {Phase estimation algorithm for the multibeam optical metrology},
author = {Zemlyanov, V. V. and Kirsanov, N. S. and Perelshtein, M. R. and Lykov, D. I. and Misochko, O. V. and Lebedev, M. V. and Vinokur, V. M. and Lesovik, G. B.},
abstractNote = {Unitary Fourier transform lies at the core of the multitudinous computational and metrological algorithms. Here we show experimentally how the unitary Fourier transform-based phase estimation protocol, used namely in quantum metrology, can be translated into the classical linear optical framework. The developed setup made of beam splitters, mirrors and phase shifters demonstrates how the classical coherence, similarly to the quantum coherence, poses a resource for obtaining information about the measurable physical quantities. Our study opens route to the reliable implementation of the small-scale unitary algorithms on path-encoded qudits, thus establishing an easily accessible platform for unitary computation.},
doi = {10.1038/s41598-020-65466-3},
journal = {Scientific Reports},
number = 1,
volume = 10,
place = {United States},
year = {Tue May 26 00:00:00 EDT 2020},
month = {Tue May 26 00:00:00 EDT 2020}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Figures / Tables:

Figure 1 Figure 1: Optical circuit realizing the qutrit quantum Fourier transformation.

Save / Share:

Works referenced in this record:

Quantum Optical Technologies for Metrology, Sensing, and Imaging
journal, June 2015

  • Dowling, Jonathan P.; Seshadreesan, Kaushik P.
  • Journal of Lightwave Technology, Vol. 33, Issue 12
  • DOI: 10.1109/JLT.2014.2386795

High-dynamic-range magnetometry with a single nuclear spin in diamond
journal, December 2011


Quantum-Enhanced Measurements: Beating the Standard Quantum Limit
journal, November 2004


Advances in quantum metrology
journal, March 2011

  • Giovannetti, Vittorio; Lloyd, Seth; Maccone, Lorenzo
  • Nature Photonics, Vol. 5, Issue 4
  • DOI: 10.1038/nphoton.2011.35

Advances in photonic quantum sensing
journal, November 2018


Quantum metrology with single spins in diamond under ambient conditions
journal, October 2017

  • Chen, Ming; Meng, Chao; Zhang, Qi
  • National Science Review, Vol. 5, Issue 3
  • DOI: 10.1093/nsr/nwx121

Optimized quantum sensing with a single electron spin using real-time adaptive measurements
journal, November 2015


Quantum metrology with a transmon qutrit
journal, February 2018


Universal linear optics
journal, July 2015


A variational eigenvalue solver on a photonic quantum processor
journal, July 2014

  • Peruzzo, Alberto; McClean, Jarrod; Shadbolt, Peter
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms5213

Quantum-enhanced magnetometry by phase estimation algorithms with a single artificial atom
journal, June 2018


Experimental optical phase measurement approaching the exact Heisenberg limit
journal, November 2018

  • Daryanoosh, Shakib; Slussarenko, Sergei; Berry, Dominic W.
  • Nature Communications, Vol. 9, Issue 1
  • DOI: 10.1038/s41467-018-06601-7

Quantum abacus for counting and factorizing numbers
journal, May 2011


Quantum counting algorithm and its application in mesoscopic physics
journal, July 2010


Multiphoton Interference in Quantum Fourier Transform Circuits and Applications to Quantum Metrology
journal, August 2017


Ultrasensitive magnetic field detection using a single artificial atom
journal, January 2012

  • Bal, M.; Deng, C.; Orgiazzi, J-L.
  • Nature Communications, Vol. 3, Issue 1
  • DOI: 10.1038/ncomms2332

A scheme for efficient quantum computation with linear optics
journal, January 2001

  • Knill, E.; Laflamme, R.; Milburn, G. J.
  • Nature, Vol. 409, Issue 6816
  • DOI: 10.1038/35051009

Efficient route to high-bandwidth nanoscale magnetometry using single spins in diamond
journal, April 2014

  • Puentes, Graciana; Waldherr, Gerald; Neumann, Philipp
  • Scientific Reports, Vol. 4, Issue 1
  • DOI: 10.1038/srep04677

Experimental realization of any discrete unitary operator
journal, July 1994

  • Reck, Michael; Zeilinger, Anton; Bernstein, Herbert J.
  • Physical Review Letters, Vol. 73, Issue 1
  • DOI: 10.1103/PhysRevLett.73.58

Simple factorization of unitary transformations
journal, February 2018


Entanglement-free Heisenberg-limited phase estimation
journal, November 2007

  • Higgins, B. L.; Berry, D. W.; Bartlett, S. D.
  • Nature, Vol. 450, Issue 7168
  • DOI: 10.1038/nature06257

Optimal design for universal multiport interferometers
journal, January 2016

  • Clements, William R.; Humphreys, Peter C.; Metcalf, Benjamin J.
  • Optica, Vol. 3, Issue 12
  • DOI: 10.1364/OPTICA.3.001460

Large-scale quantum photonic circuits in silicon
journal, August 2016


The resurgence of the linear optics quantum interferometer — recent advances & applications
journal, November 2019


Works referencing / citing this record:

Quantum phase estimation of multiple eigenvalues for small-scale (noisy) experiments
journal, February 2019

  • O’Brien, Thomas E.; Tarasinski, Brian; Terhal, Barbara M.
  • New Journal of Physics, Vol. 21, Issue 2
  • DOI: 10.1088/1367-2630/aafb8e

Quantum Computing with Rotation-Symmetric Bosonic Codes
journal, March 2020


Photonic quantum information processing: A concise review
journal, December 2019

  • Slussarenko, Sergei; Pryde, Geoff J.
  • Applied Physics Reviews, Vol. 6, Issue 4
  • DOI: 10.1063/1.5115814

Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.