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:
-
[4];
[5];
- Moscow Inst. of Physics and Technology (MIPT), Moscow (Russian Federation)
- Moscow Inst. of Physics and Technology (MIPT), Moscow (Russian Federation); Univ. of Chicago, IL (United States); Aalto Univ., Otaniemi (Finland)
- Moscow Inst. of Physics and Technology (MIPT), Moscow (Russian Federation); Aalto Univ., Otaniemi (Finland)
- Moscow Inst. of Physics and Technology (MIPT), Moscow (Russian Federation); Russian Academy of Sciences (RAS), Moscow (Russian Federation)
- 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 = {2020},
month = {5}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journalFigures / Tables:
Figure 1: Optical circuit realizing the qutrit quantum Fourier transformation.
All figures and tables
(5 total)
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
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
High-dynamic-range magnetometry with a single nuclear spin in diamond
journal, December 2011
- Waldherr, G.; Beck, J.; Neumann, P.
- Nature Nanotechnology, Vol. 7, Issue 2
Quantum-Enhanced Measurements: Beating the Standard Quantum Limit
journal, November 2004
- Giovannetti, V.
- Science, Vol. 306, Issue 5700
Advances in quantum metrology
journal, March 2011
- Giovannetti, Vittorio; Lloyd, Seth; Maccone, Lorenzo
- Nature Photonics, Vol. 5, Issue 4
Quantum Algorithm for Linear Systems of Equations
journal, October 2009
- Harrow, Aram W.; Hassidim, Avinatan; Lloyd, Seth
- Physical Review Letters, Vol. 103, Issue 15
Advances in photonic quantum sensing
journal, November 2018
- Pirandola, S.; Bardhan, B. R.; Gehring, T.
- Nature Photonics, Vol. 12, Issue 12
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
Optimized quantum sensing with a single electron spin using real-time adaptive measurements
journal, November 2015
- Bonato, C.; Blok, M. S.; Dinani, H. T.
- Nature Nanotechnology, Vol. 11, Issue 3
Quantum metrology with a transmon qutrit
journal, February 2018
- Shlyakhov, A. R.; Zemlyanov, V. V.; Suslov, M. V.
- Physical Review A, Vol. 97, Issue 2
Universal linear optics
journal, July 2015
- Carolan, J.; Harrold, C.; Sparrow, C.
- Science, Vol. 349, Issue 6249
A variational eigenvalue solver on a photonic quantum processor
journal, July 2014
- Peruzzo, Alberto; McClean, Jarrod; Shadbolt, Peter
- Nature Communications, Vol. 5, Issue 1
Quantum-enhanced magnetometry by phase estimation algorithms with a single artificial atom
journal, June 2018
- Danilin, S.; Lebedev, A. V.; Vepsäläinen, A.
- npj Quantum Information, Vol. 4, Issue 1
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
Algorithms for quantum computation: discrete logarithms and factoring
conference, January 1994
- Shor, P. W.
- Proceedings 35th Annual Symposium on Foundations of Computer Science
Quantum abacus for counting and factorizing numbers
journal, May 2011
- Suslov, M. V.; Lesovik, G. B.; Blatter, G.
- Physical Review A, Vol. 83, Issue 5
Quantum counting algorithm and its application in mesoscopic physics
journal, July 2010
- Lesovik, G. B.; Suslov, M. V.; Blatter, G.
- Physical Review A, Vol. 82, Issue 1
Multiphoton Interference in Quantum Fourier Transform Circuits and Applications to Quantum Metrology
journal, August 2017
- Su, Zu-En; Li, Yuan; Rohde, Peter P.
- Physical Review Letters, Vol. 119, Issue 8
Quantum sensing
journal, July 2017
- Degen, C. L.; Reinhard, F.; Cappellaro, P.
- Reviews of Modern Physics, Vol. 89, Issue 3
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
A scheme for efficient quantum computation with linear optics
journal, January 2001
- Knill, E.; Laflamme, R.; Milburn, G. J.
- Nature, Vol. 409, Issue 6816
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
Experimental realization of any discrete unitary operator
journal, July 1994
- Reck, Michael; Zeilinger, Anton; Bernstein, Herbert J.
- Physical Review Letters, Vol. 73, Issue 1
Simple factorization of unitary transformations
journal, February 2018
- de Guise, Hubert; Di Matteo, Olivia; Sánchez-Soto, Luis L.
- Physical Review A, Vol. 97, Issue 2
Entanglement-free Heisenberg-limited phase estimation
journal, November 2007
- Higgins, B. L.; Berry, D. W.; Bartlett, S. D.
- Nature, Vol. 450, Issue 7168
Optimal design for universal multiport interferometers
journal, January 2016
- Clements, William R.; Humphreys, Peter C.; Metcalf, Benjamin J.
- Optica, Vol. 3, Issue 12
Large-scale quantum photonic circuits in silicon
journal, August 2016
- Harris, Nicholas C.; Bunandar, Darius; Pant, Mihir
- Nanophotonics, Vol. 5, Issue 3
The resurgence of the linear optics quantum interferometer — recent advances & applications
journal, November 2019
- Tan, Si-Hui; Rohde, Peter P.
- Reviews in Physics, Vol. 4
Works referencing / citing this record:
-Corrected Heisenberg Limit
journal, January 2020
- Górecki, Wojciech; Demkowicz-Dobrzański, Rafał; Wiseman, Howard M.
- Physical Review Letters, Vol. 124, Issue 3
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
Quantum Computing with Rotation-Symmetric Bosonic Codes
journal, March 2020
- Grimsmo, Arne L.; Combes, Joshua; Baragiola, Ben Q.
- Physical Review X, Vol. 10, Issue 1
Photonic quantum information processing: A concise review
journal, December 2019
- Slussarenko, Sergei; Pryde, Geoff J.
- Applied Physics Reviews, Vol. 6, Issue 4
Figures / Tables found in this record:
Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.