Electro-Optic Frequency Beam Splitters and Tritters for High-Fidelity Photonic Quantum Information Processing
Abstract
In this paper, we report the experimental realization of high-fidelity photonic quantum gates for frequency-encoded qubits and qutrits based on electro-optic modulation and Fourier-transform pulse shaping. Our frequency version of the Hadamard gate offers near-unity fidelity (0.99998±0.00003), requires only a single microwave drive tone for near-ideal performance, functions across the entire C band (1530–1570 nm), and can operate concurrently on multiple qubits spaced as tightly as four frequency modes apart, with no observable degradation in the fidelity. For qutrits, we implement a 3×3 extension of the Hadamard gate: the balanced tritter. This tritter—the first ever demonstrated for frequency modes—attains fidelity 0.9989±0.0004. Finally, these gates represent important building blocks toward scalable, high-fidelity quantum information processing based on frequency encoding.
- Authors:
-
- Purdue Univ., West Lafayette, IN (United States). School of Electrical and Computer Engineering. Purdue Quantum Center
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Quantum Information Science Group. Computational Sciences and Engineering Division
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Quantum Information Science Group. Computational Sciences and Engineering Division; Univ. of Tennessee, Knoxville, TN (United States). Bredesen Center for Interdisciplinary Research and Graduate Education
- Publication Date:
- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Purdue Univ., West Lafayette, IN (United States)
- Sponsoring Org.:
- USDOE; ORNL Laboratory Directed Research and Development (LDRD) Program; National Science Foundation (NSF)
- OSTI Identifier:
- 1423025
- Alternate Identifier(s):
- OSTI ID: 1417418
- Grant/Contract Number:
- AC05-00OR22725; ECCS-1407620
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 120; Journal Issue: 3; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 97 MATHEMATICS AND COMPUTING; 36 MATERIALS SCIENCE; optoelectronics; photonics; quantum information processing; quantum state engineering
Citation Formats
Lu, Hsuan-Hao, Lukens, Joseph M., Peters, Nicholas A., Odele, Ogaga D., Leaird, Daniel E., Weiner, Andrew M., and Lougovski, Pavel. Electro-Optic Frequency Beam Splitters and Tritters for High-Fidelity Photonic Quantum Information Processing. United States: N. p., 2018.
Web. doi:10.1103/PhysRevLett.120.030502.
Lu, Hsuan-Hao, Lukens, Joseph M., Peters, Nicholas A., Odele, Ogaga D., Leaird, Daniel E., Weiner, Andrew M., & Lougovski, Pavel. Electro-Optic Frequency Beam Splitters and Tritters for High-Fidelity Photonic Quantum Information Processing. United States. https://doi.org/10.1103/PhysRevLett.120.030502
Lu, Hsuan-Hao, Lukens, Joseph M., Peters, Nicholas A., Odele, Ogaga D., Leaird, Daniel E., Weiner, Andrew M., and Lougovski, Pavel. Thu .
"Electro-Optic Frequency Beam Splitters and Tritters for High-Fidelity Photonic Quantum Information Processing". United States. https://doi.org/10.1103/PhysRevLett.120.030502. https://www.osti.gov/servlets/purl/1423025.
@article{osti_1423025,
title = {Electro-Optic Frequency Beam Splitters and Tritters for High-Fidelity Photonic Quantum Information Processing},
author = {Lu, Hsuan-Hao and Lukens, Joseph M. and Peters, Nicholas A. and Odele, Ogaga D. and Leaird, Daniel E. and Weiner, Andrew M. and Lougovski, Pavel},
abstractNote = {In this paper, we report the experimental realization of high-fidelity photonic quantum gates for frequency-encoded qubits and qutrits based on electro-optic modulation and Fourier-transform pulse shaping. Our frequency version of the Hadamard gate offers near-unity fidelity (0.99998±0.00003), requires only a single microwave drive tone for near-ideal performance, functions across the entire C band (1530–1570 nm), and can operate concurrently on multiple qubits spaced as tightly as four frequency modes apart, with no observable degradation in the fidelity. For qutrits, we implement a 3×3 extension of the Hadamard gate: the balanced tritter. This tritter—the first ever demonstrated for frequency modes—attains fidelity 0.9989±0.0004. Finally, these gates represent important building blocks toward scalable, high-fidelity quantum information processing based on frequency encoding.},
doi = {10.1103/PhysRevLett.120.030502},
journal = {Physical Review Letters},
number = 3,
volume = 120,
place = {United States},
year = {2018},
month = {1}
}
Web of Science
Figures / Tables:

Works referenced in this record:
Maximal success probabilities of linear-optical quantum gates
journal, April 2009
- Uskov, Dmitry B.; Kaplan, Lev; Smith, A. Matthew
- Physical Review A, Vol. 79, Issue 4
Ultrafast optical pulse shaping: A tutorial review
journal, July 2011
- Weiner, Andrew M.
- Optics Communications, Vol. 284, Issue 15
Quantum Frequency Translation of Single-Photon States in a Photonic Crystal Fiber
journal, August 2010
- McGuinness, H. J.; Raymer, M. G.; McKinstrie, C. J.
- Physical Review Letters, Vol. 105, Issue 9
Nonlocal modulation of entangled photons
journal, August 2008
- Harris, S. E.
- Physical Review A, Vol. 78, Issue 2
Modulation and measurement of time-energy entangled photons
journal, September 2009
- Belthangady, Chinmay; Du, Shengwang; Chuu, Chih-Sung
- Physical Review A, Vol. 80, Issue 3
Observation of quantum frequency conversion
journal, April 1992
- Huang, Jianming; Kumar, Prem
- Physical Review Letters, Vol. 68, Issue 14
Efficiently Loading a Single Photon into a Single-Sided Fabry-Perot Cavity
journal, September 2014
- Liu, Chang; Sun, Yuan; Zhao, Luwei
- Physical Review Letters, Vol. 113, Issue 13
Amplitude and phase modulation of time-energy entangled two-photon states
journal, January 2008
- Zäh, F.; Halder, M.; Feurer, T.
- Optics Express, Vol. 16, Issue 21
Orthogonal Spectral Coding of Entangled Photons
journal, April 2014
- Lukens, Joseph M.; Dezfooliyan, Amir; Langrock, Carsten
- Physical Review Letters, Vol. 112, Issue 13
Mach-Zehnder interferometer using frequency-domain beamsplitter
journal, January 2017
- Kobayashi, Toshiki; Yamazaki, Daisuke; Matsuki, Kenichiro
- Optics Express, Vol. 25, Issue 10
Optical arbitrary waveform generation
journal, October 2010
- Cundiff, Steven T.; Weiner, Andrew M.
- Nature Photonics, Vol. 4, Issue 11
Frequency-domain Hong–Ou–Mandel interference
journal, April 2016
- Kobayashi, Toshiki; Ikuta, Rikizo; Yasui, Shuto
- Nature Photonics, Vol. 10, Issue 7
Spectral Shearing of Quantum Light Pulses by Electro-Optic Phase Modulation
journal, January 2017
- Wright, Laura J.; Karpiński, Michał; Söller, Christoph
- Physical Review Letters, Vol. 118, Issue 2
Micrometer-scale integrated silicon source of time-energy entangled photons
journal, January 2015
- Grassani, Davide; Azzini, Stefano; Liscidini, Marco
- Optica, Vol. 2, Issue 2
A quantum pulse gate based on spectrally engineered sum frequency generation
journal, January 2011
- Eckstein, Andreas; Brecht, Benjamin; Silberhorn, Christine
- Optics Express, Vol. 19, Issue 15
Frequency-encoded photonic qubits for scalable quantum information processing
journal, December 2016
- Lukens, Joseph M.; Lougovski, Pavel
- Optica, Vol. 4, Issue 1
Entangled-Pair Transmission Improvement Using Distributed Phase-Sensitive Amplification
journal, December 2014
- Agarwal, Anjali; Dailey, James M.; Toliver, Paul
- Physical Review X, Vol. 4, Issue 4
Observation of Nonlocal Modulation with Entangled Photons
journal, October 2009
- Sensarn, S.; Yin, G. Y.; Harris, S. E.
- Physical Review Letters, Vol. 103, Issue 16
Quantum walks based on an interferometric analogy
journal, September 2003
- Hillery, Mark; Bergou, Janos; Feldman, Edgar
- Physical Review A, Vol. 68, Issue 3
Low-noise chip-based frequency conversion by four-wave-mixing Bragg scattering in SiN_x waveguides
journal, January 2012
- Agha, Imad; Davanço, Marcelo; Thurston, Bryce
- Optics Letters, Vol. 37, Issue 14
Quantum simulation of discrete-time Hamiltonians using directionally unbiased linear optical multiports
journal, April 2017
- Simon, David S.; Fitzpatrick, Casey A.; Osawa, Shuto
- Physical Review A, Vol. 95, Issue 4
Temporal Shaping of Entangled Photons
journal, February 2005
- Pe'er, Avi; Dayan, Barak; Friesem, Asher A.
- Physical Review Letters, Vol. 94, Issue 7
Demonstration of coherent time-frequency Schmidt mode selection using dispersion-engineered frequency conversion
journal, September 2014
- Brecht, Benjamin; Eckstein, Andreas; Ricken, Raimund
- Physical Review A, Vol. 90, Issue 3
Ramsey Interference with Single Photons
journal, November 2016
- Clemmen, Stéphane; Farsi, Alessandro; Ramelow, Sven
- Physical Review Letters, Vol. 117, Issue 22
Generation of multiphoton entangled quantum states by means of integrated frequency combs
journal, March 2016
- Reimer, Christian; Kues, Michael; Roztocki, Piotr
- Science, Vol. 351, Issue 6278
Frequency-bin entangled photons
journal, July 2010
- Olislager, L.; Cussey, J.; Nguyen, A. T.
- Physical Review A, Vol. 82, Issue 1
Distinguishability and Many-Particle Interference
journal, April 2017
- Menssen, Adrian J.; Jones, Alex E.; Metcalf, Benjamin J.
- Physical Review Letters, Vol. 118, Issue 15
From quantum pulse gate to quantum pulse shaper—engineered frequency conversion in nonlinear optical waveguides
journal, June 2011
- Brecht, Benjamin; Eckstein, Andreas; Christ, Andreas
- New Journal of Physics, Vol. 13, Issue 6
Direct characterization of linear-optical networks
journal, January 2013
- Rahimi-Keshari, Saleh; Broome, Matthew A.; Fickler, Robert
- Optics Express, Vol. 21, Issue 11
Demonstration of High-Order Dispersion Cancellation with an Ultrahigh-Efficiency Sum-Frequency Correlator
journal, November 2013
- Lukens, Joseph M.; Dezfooliyan, Amir; Langrock, Carsten
- Physical Review Letters, Vol. 111, Issue 19
Multidimensional mode-separable frequency conversion for high-speed quantum communication
journal, January 2016
- Manurkar, Paritosh; Jain, Nitin; Silver, Michael
- Optica, Vol. 3, Issue 12
Hiding Single Photons with Spread Spectrum Technology
journal, June 2010
- Belthangady, Chinmay; Chuu, Chih-Sung; Yu, Ite A.
- Physical Review Letters, Vol. 104, Issue 22
Persistent energy–time entanglement covering multiple resonances of an on-chip biphoton frequency comb
journal, January 2017
- Jaramillo-Villegas, Jose A.; Imany, Poolad; Odele, Ogaga D.
- Optica, Vol. 4, Issue 6
Bandwidth manipulation of quantum light by an electro-optic time lens
journal, November 2016
- Karpiński, Michał; Jachura, Michał; Wright, Laura J.
- Nature Photonics, Vol. 11, Issue 1
Integrated optomechanical single-photon frequency shifter
journal, October 2016
- Fan, Linran; Zou, Chang-Ling; Poot, Menno
- Nature Photonics, Vol. 10, Issue 12
Electro-optic modulation for high-speed characterization of entangled photon pairs
journal, January 2015
- Lukens, Joseph M.; Odele, Ogaga D.; Leaird, Daniel E.
- Optics Letters, Vol. 40, Issue 22
All-photonic quantum repeaters
journal, April 2015
- Azuma, Koji; Tamaki, Kiyoshi; Lo, Hoi-Kwong
- Nature Communications, Vol. 6, Issue 1
Shaping frequency-entangled qudits
journal, September 2013
- Bernhard, Christof; Bessire, Bänz; Feurer, Thomas
- Physical Review A, Vol. 88, Issue 3
Group transformations and entangled-state quantum gates with directionally unbiased linear-optical multiports
journal, April 2016
- Simon, David S.; Fitzpatrick, Casey A.; Sergienko, Alexander V.
- Physical Review A, Vol. 93, Issue 4
On-chip generation of high-dimensional entangled quantum states and their coherent control
journal, June 2017
- Kues, Michael; Reimer, Christian; Roztocki, Piotr
- Nature, Vol. 546, Issue 7660
Electro-Optic Modulation of Single Photons
journal, September 2008
- Kolchin, Pavel; Belthangady, Chinmay; Du, Shengwang
- Physical Review Letters, Vol. 101, Issue 10
Noise-tolerant single photon sensitive three-dimensional imager
journal, February 2020
- Rehain, Patrick; Sua, Yong Meng; Zhu, Shenyu
- Nature Communications, Vol. 11, Issue 1
Modulation and Measurement of Time-Energy Entangled Photons
conference, January 2009
- Belthangady, Chinmay; Du, Shengwang; Chuu, Chih-Sung
- Slow and Fast Light, Advances in Optical Sciences Congress
Generation of multiphoton entangled quantum states by means of integrated frequency combs
other, January 2016
- Reimer, Christian; Kues, Michael; Roztocki, Piotr
- Washington D.C. : American Association for the Advancement of Science
Shaping frequency entangled qudits
text, January 2013
- Feurer, Thomas; Bernhard, Christof; Bessire, Bänz
- American Physical Society
Maximal Success Probabilities of Linear-Optical Quantum Gates
text, January 2008
- Uskov, Dmitry B.; Kaplan, Lev; Smith, A. Matthew
- arXiv
Observation of Nonlocal Modulation with Entangled Photons
text, January 2009
- Sensarn, S.; Yin, G. Y.; Harris, S. E.
- arXiv
Hiding Single Photons With Spread Spectrum Technology
text, January 2010
- Belthangady, Chinmay; Chuu, Chih-Sung; Yu, Ite A.
- arXiv
A Quantum Pulse Gate based on Spectrally Engineered Sum Frequency Generation
text, January 2010
- Eckstein, Andreas; Brecht, Benjamin; Silberhorn, Christine
- arXiv
Shaping frequency entangled qudits
text, January 2013
- Bernhard, Christof; Bessire, Bänz; Feurer, Thomas
- arXiv
Frequency-domain Hong-Ou-Mandel interference
text, January 2016
- Kobayashi, Toshiki; Ikuta, Rikizo; Yasui, Shuto
- arXiv
Group transformations and entangled-state quantum gates with directionally unbiased linear-optical multiports
text, January 2016
- Simon, David S.; Fitzpatrick, Casey A.; Sergienko, Alexander V.
- arXiv
Spectral shearing of quantum light pulses by electro-optic phase modulation
text, January 2016
- Wright, Laura J.; Karpinski, Michal; Soeller, Christoph
- arXiv
Distinguishability and many-particle interference
text, January 2016
- Menssen, Adrian J.; Jones, Alex E.; Metcalf, Benjamin J.
- arXiv
Frequency-encoded photonic qubits for scalable quantum information processing
text, January 2016
- Lukens, Joseph M.; Lougovski, Pavel
- arXiv
Quantum simulation of discrete-time Hamiltonians using directionally unbiased linear optical multiports
text, January 2017
- Simon, David S.; Fitzpatrick, Casey A.; Osawa, Shuto
- arXiv
Quantum walks based on an interferometric analogy
text, January 2003
- Hillery, Mark; Bergou, Janos; Feldman, Edgar
- arXiv
Works referencing / citing this record:
Quantum Phase Estimation with Time‐Frequency Qudits in a Single Photon
journal, October 2019
- Lu, Hsuan‐Hao; Hu, Zixuan; Alshaykh, Mohammed Saleh
- Advanced Quantum Technologies, Vol. 3, Issue 2
Generation of multiphoton quantum states on silicon
journal, May 2019
- Zhang, Ming; Feng, Lan-Tian; Zhou, Zhi-Yuan
- Light: Science & Applications, Vol. 8, Issue 1
Experimental band structure spectroscopy along a synthetic dimension
journal, July 2019
- Dutt, Avik; Minkov, Momchil; Lin, Qian
- Nature Communications, Vol. 10, Issue 1
Coherent spin-wave processor of stored optical pulses
journal, February 2019
- Mazelanik, Mateusz; Parniak, Michał; Leszczyński, Adam
- npj Quantum Information, Vol. 5, Issue 1
A controlled-NOT gate for frequency-bin qubits
journal, March 2019
- Lu, Hsuan-Hao; Lukens, Joseph M.; Williams, Brian P.
- npj Quantum Information, Vol. 5, Issue 1
High-dimensional optical quantum logic in large operational spaces
journal, July 2019
- Imany, Poolad; Jaramillo-Villegas, Jose A.; Alshaykh, Mohammed S.
- npj Quantum Information, Vol. 5, Issue 1
Quantum optical microcombs
journal, February 2019
- Kues, Michael; Reimer, Christian; Lukens, Joseph M.
- Nature Photonics, Vol. 13, Issue 3
High-dimensional one-way quantum processing implemented on d-level cluster states
journal, December 2018
- Reimer, Christian; Sciara, Stefania; Roztocki, Piotr
- Nature Physics, Vol. 15, Issue 2
Emission spectrum in dissipative cavities coupled with quantum dots
journal, May 2019
- Zhang, Yang; Lü, Shu-Chen
- Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 52, Issue 12
Signatures of many-particle interference
journal, January 2020
- Walschaers, Mattia
- Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 53, Issue 4
Generating frequency-bin qubits via spontaneous four-wave mixing in a photonic molecule
journal, October 2019
- Chuprina, Ilya N.; Kalachev, Alexey A.
- Physical Review A, Vol. 100, Issue 4
Robust Architecture for Programmable Universal Unitaries
journal, January 2020
- Saygin, M. Yu.; Kondratyev, I. V.; Dyakonov, I. V.
- Physical Review Letters, Vol. 124, Issue 1
Exploring the limits of semiconductor-laser-based optical frequency combs
journal, January 2019
- Delfyett, Peter J.; Klee, A.; Bagnell, K.
- Applied Optics, Vol. 58, Issue 13
Quantum frequency combs and Hong–Ou–Mandel interferometry: the role of spectral phase coherence
journal, January 2019
- Lingaraju, Navin B.; Lu, Hsuan-Hao; Seshadri, Suparna
- Optics Express, Vol. 27, Issue 26
Temporal imaging for ultra-narrowband few-photon states of light
journal, January 2020
- Mazelanik, Mateusz; Leszczyński, Adam; Lipka, Michał
- Optica, Vol. 7, Issue 3
High-dimensional optical quantum logic in large operational spaces
text, January 2018
- Imany, Poolad; Jaramillo-Villegas, Jose A.; Alshaykh, Mohammed S.
- arXiv
A controlled-NOT gate for frequency-bin qubits
text, January 2018
- Lu, Hsuan-Hao; Lukens, Joseph M.; Williams, Brian P.
- arXiv
Simulations of Subatomic Many-Body Physics on a Quantum Frequency Processor
text, January 2018
- Lu, Hsuan-Hao; Klco, Natalie; Lukens, Joseph M.
- arXiv
Generating frequency-bin qubits via spontaneous four-wave mixing in a photonic molecule
text, January 2019
- Chuprina, Ilya N.; Kalachev, Alexey A.
- arXiv
Quantum Phase Estimation with Time-Frequency Qudits in a Single Photon
text, January 2019
- Lu, Hsuan-Hao; Hu, Zixuan; Alshaykh, Mohammed S.
- arXiv
Quantum frequency combs and Hong-Ou-Mandel interferometry: the role of spectral phase coherence
text, January 2019
- Lingaraju, Navin B.; Lu, Hsuan-Hao; Seshadri, Suparna
- arXiv
Temporal imaging for ultra-narrowband few-photon states of light
text, January 2019
- Mazelanik, Mateusz; Leszczyński, Adam; Lipka, Michał
- arXiv
Figures / Tables found in this record: