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Title: A controlled-NOT gate for frequency-bin qubits

Abstract

The realization of strong photon–photon interactions has presented an enduring challenge across photonics, particularly in quantum computing, where two-photon gates form essential components for scalable quantum information processing (QIP). While linear-optic schemes have enabled probabilistic entangling gates in spatio-polarization encoding, solutions for many other useful degrees of freedom remain missing. In particular, no two-photon gate for the important platform of frequency encoding has been experimentally demonstrated, due in large part to the additional challenges imparted by the mismatched wavelengths of the interacting photons. In this article, we design and implement an entangling gate for frequency-bin qubits, a coincidence-basis controlled-NOT (CNOT), using line-by-line pulse shaping and electro-optic modulation. With this being said, we extract a quantum unitary fidelity of 0.91 ± 0.01 via a parameter inference approach based on Bayesian machine learning, which enables accurate gate reconstruction from measurements in the two-photon computational basis alone. Thus, our CNOT imparts a single-photon frequency shift controlled by the frequency of another photon—an important capability in itself—and should enable new directions in fiber-compatible QIP.

Authors:
ORCiD logo [1]; ORCiD logo [2];  [2];  [1]; ORCiD logo [3]; ORCiD logo [1]; ORCiD logo [2]
  1. Purdue Univ., West Lafayette, IN (United States)
  2. Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
  3. Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States); Univ. of Tennessee, Knoxville, TN (United States)
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1502569
Grant/Contract Number:  
AC05-00OR22725
Resource Type:
Accepted Manuscript
Journal Name:
npj Quantum Information
Additional Journal Information:
Journal Volume: 5; Journal Issue: 1; Journal ID: ISSN 2056-6387
Publisher:
Nature Partner Journals
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING

Citation Formats

Lu, Hsuan-Hao, Lukens, Joseph M., Williams, Brian P., Imany, Poolad, Peters, Nicholas A., Weiner, Andrew M., and Lougovski, Pavel. A controlled-NOT gate for frequency-bin qubits. United States: N. p., 2019. Web. https://doi.org/10.1038/s41534-019-0137-z.
Lu, Hsuan-Hao, Lukens, Joseph M., Williams, Brian P., Imany, Poolad, Peters, Nicholas A., Weiner, Andrew M., & Lougovski, Pavel. A controlled-NOT gate for frequency-bin qubits. United States. https://doi.org/10.1038/s41534-019-0137-z
Lu, Hsuan-Hao, Lukens, Joseph M., Williams, Brian P., Imany, Poolad, Peters, Nicholas A., Weiner, Andrew M., and Lougovski, Pavel. Tue . "A controlled-NOT gate for frequency-bin qubits". United States. https://doi.org/10.1038/s41534-019-0137-z. https://www.osti.gov/servlets/purl/1502569.
@article{osti_1502569,
title = {A controlled-NOT gate for frequency-bin qubits},
author = {Lu, Hsuan-Hao and Lukens, Joseph M. and Williams, Brian P. and Imany, Poolad and Peters, Nicholas A. and Weiner, Andrew M. and Lougovski, Pavel},
abstractNote = {The realization of strong photon–photon interactions has presented an enduring challenge across photonics, particularly in quantum computing, where two-photon gates form essential components for scalable quantum information processing (QIP). While linear-optic schemes have enabled probabilistic entangling gates in spatio-polarization encoding, solutions for many other useful degrees of freedom remain missing. In particular, no two-photon gate for the important platform of frequency encoding has been experimentally demonstrated, due in large part to the additional challenges imparted by the mismatched wavelengths of the interacting photons. In this article, we design and implement an entangling gate for frequency-bin qubits, a coincidence-basis controlled-NOT (CNOT), using line-by-line pulse shaping and electro-optic modulation. With this being said, we extract a quantum unitary fidelity of 0.91 ± 0.01 via a parameter inference approach based on Bayesian machine learning, which enables accurate gate reconstruction from measurements in the two-photon computational basis alone. Thus, our CNOT imparts a single-photon frequency shift controlled by the frequency of another photon—an important capability in itself—and should enable new directions in fiber-compatible QIP.},
doi = {10.1038/s41534-019-0137-z},
journal = {npj Quantum Information},
number = 1,
volume = 5,
place = {United States},
year = {2019},
month = {3}
}

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Cited by: 13 works
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Works referenced in this record:

50-GHz-spaced comb of high-dimensional frequency-bin entangled photons from an on-chip silicon nitride microresonator
journal, January 2018

  • Imany, Poolad; Jaramillo-Villegas, Jose A.; Odele, Ogaga D.
  • Optics Express, Vol. 26, Issue 2
  • DOI: 10.1364/oe.26.001825

Integrated-optics heralded controlled-NOT gate for polarization-encoded qubits
journal, February 2018


Quantum phase gate for photonic qubits using only beam splitters and postselection
journal, August 2002


Linear optical quantum computing with photonic qubits
journal, January 2007


Linear optical controlled-NOT gate in the coincidence basis
journal, June 2002


Linear Optical Quantum Computing in a Single Spatial Mode
journal, October 2013


Randomized benchmarking of quantum gates
journal, January 2008


Frequency-domain Hong–Ou–Mandel interference
journal, April 2016


Integrated lithium niobate electro-optic modulators operating at CMOS-compatible voltages
journal, September 2018


Optimal, reliable estimation of quantum states
journal, April 2010


Shor's Quantum Factoring Algorithm on a Photonic Chip
journal, September 2009


Frequency-encoded photonic qubits for scalable quantum information processing
journal, December 2016


High-selectivity quantum pulse gating of photonic temporal modes using all-optical Ramsey interferometry
journal, January 2018


Demonstration of Nondeterministic Quantum Logic Operations Using Linear Optical Elements
journal, June 2002


Universal linear optics
journal, July 2015


Quantum interference and correlation control of frequency-bin qubits
journal, January 2018


Integrated photonic quantum gates for polarization qubits
journal, September 2011

  • Crespi, Andrea; Ramponi, Roberta; Osellame, Roberto
  • Nature Communications, Vol. 2, Issue 1
  • DOI: 10.1038/ncomms1570

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

A hands-on introduction to single photons and quantum mechanics for undergraduates
journal, May 2010

  • Pearson, Brett J.; Jackson, David P.
  • American Journal of Physics, Vol. 78, Issue 5
  • DOI: 10.1119/1.3354986

Quantum state estimation when qubits are lost: a no-data-left-behind approach
journal, April 2017


Slice sampling
journal, June 2003


Ramsey Interference with Single Photons
journal, November 2016


Quantum logic using correlated one-dimensional quantum walks
journal, January 2018

  • Lahini, Yoav; Steinbrecher, Gregory R.; Bookatz, Adam D.
  • npj Quantum Information, Vol. 4, Issue 1
  • DOI: 10.1038/s41534-017-0050-2

Generation of multiphoton entangled quantum states by means of integrated frequency combs
journal, March 2016


Probabilistic quantum logic operations using polarizing beam splitters
journal, November 2001


Simplified quantum process tomography
journal, November 2009


Accidental Coincidences in Counter Circuits
journal, May 1938


Ultra-high electro-optic activity demonstrated in a silicon-organic hybrid modulator
journal, January 2018


Persistent energy–time entanglement covering multiple resonances of an on-chip biphoton frequency comb
journal, January 2017


Tailoring nonlinear processes for quantum optics with pulsed temporal-mode encodings
journal, January 2018


Direct characterization of linear-optical networks
journal, January 2013

  • Rahimi-Keshari, Saleh; Broome, Matthew A.; Fickler, Robert
  • Optics Express, Vol. 21, Issue 11
  • DOI: 10.1364/oe.21.013450

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

Prescription for experimental determination of the dynamics of a quantum black box
journal, November 1997


Electro-Optic Frequency Beam Splitters and Tritters for High-Fidelity Photonic Quantum Information Processing
journal, January 2018


Quantum Process Tomography of a Controlled-NOT Gate
journal, August 2004


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
  • DOI: 10.1038/nature22986

Complete Characterization of a Quantum Process: The Two-Bit Quantum Gate
journal, January 1997


Demonstration of an all-optical quantum controlled-NOT gate
journal, November 2003

  • O'Brien, J. L.; Pryde, G. J.; White, A. G.
  • Nature, Vol. 426, Issue 6964
  • DOI: 10.1038/nature02054

High-Dimensional Single-Photon Quantum Gates: Concepts and Experiments
journal, November 2017


Linear optical quantum computing with photonic qubits
journal, January 2007


High-Dimensional Single-Photon Quantum Gates: Concepts and Experiments
journal, November 2017


Linear Optical Quantum Computing in a Single Spatial Mode
journal, October 2013


High-selectivity quantum pulse gating of photonic temporal modes using all-optical Ramsey interferometry
journal, January 2018


Tailoring nonlinear processes for quantum optics with pulsed temporal-mode encodings
journal, January 2018


Persistent energy–time entanglement covering multiple resonances of an on-chip biphoton frequency comb
journal, January 2017


50-GHz-spaced comb of high-dimensional frequency-bin entangled photons from an on-chip silicon nitride microresonator
journal, January 2018

  • Imany, Poolad; Jaramillo-Villegas, Jose A.; Odele, Ogaga D.
  • Optics Express, Vol. 26, Issue 2
  • DOI: 10.1364/OE.26.001825

Ramsey Interference with Single Photons
journal, November 2016


Electro-Optic Frequency Beam Splitters and Tritters for High-Fidelity Photonic Quantum Information Processing
journal, January 2018


Quantum interference and correlation control of frequency-bin qubits
journal, January 2018


Probabilistic quantum logic operations using polarizing beam splitters
journal, November 2001


Demonstration of Nondeterministic Quantum Logic Operations Using Linear Optical Elements
journal, June 2002


Linear optical controlled-NOT gate in the coincidence basis
journal, June 2002


Quantum phase gate for photonic qubits using only beam splitters and postselection
journal, August 2002


Quantum Process Tomography of a Controlled-NOT Gate
journal, August 2004


Frequency-encoded photonic qubits for scalable quantum information processing
journal, December 2016


Direct characterization of linear-optical networks
journal, January 2013

  • Rahimi-Keshari, Saleh; Broome, Matthew A.; Fickler, Robert
  • Optics Express, Vol. 21, Issue 11
  • DOI: 10.1364/OE.21.013450

Accidental Coincidences in Counter Circuits
journal, May 1938


Complete Characterization of a Quantum Process: The Two-Bit Quantum Gate
journal, January 1997


Randomized benchmarking of quantum gates
journal, January 2008


Ultra-high electro-optic activity demonstrated in a silicon-organic hybrid modulator
journal, January 2018


    Works referencing / citing this record:

    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
    • DOI: 10.1364/oe.379749

    Simulations of subatomic many-body physics on a quantum frequency processor
    journal, July 2019


    Robust Architecture for Programmable Universal Unitaries
    journal, January 2020


    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
    • DOI: 10.1038/s41534-019-0173-8

    Temporal imaging for ultra-narrowband few-photon states of light
    journal, January 2020

    • Mazelanik, Mateusz; Leszczyński, Adam; Lipka, Michał
    • Optica, Vol. 7, Issue 3
    • DOI: 10.1364/optica.382891

    Quantum optical microcombs
    journal, February 2019


    Biphoton shaping with cascaded entangled-photon sources
    journal, September 2019


    Generating frequency-bin qubits via spontaneous four-wave mixing in a photonic molecule
    journal, October 2019