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Title: Gate fidelity and coherence of an electron spin in an Si/SiGe quantum dot with micromagnet

Abstract

A quantum computer is able to solve certain problems that cannot be solved by a classical computer within a reasonable time. The building block of a quantum computer is called a quantum bit (qubit), the counterpart of the conventional binary digit (bit). A qubit unavoidably interacts with its environment, leading to errors in the qubit state. This article reports on the qubit performance of an electron spin in a silicon/silicon-germanium (Si/SiGe) quantum dot, and examines the dominant error mechanisms. We demonstrate that this qubit can be electrically controlled with sufficient accuracy so that remaining errors could, in principle, be corrected using known protocols, even without isotopically purified silicon. This qubit also offers a quantum memory that lasts for almost 0.5 ms.

Authors:
; ; ; ; ; ; ; ; ; ;
Publication Date:
Research Org.:
Ames Lab., Ames, IA (United States); Univ. of Wisconsin, Madison, WI (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1328496
Alternate Identifier(s):
OSTI ID: 1335026; OSTI ID: 1357022
Report Number(s):
IS-J-9131
Journal ID: ISSN 0027-8424; /pnas/113/42/11738.atom
Grant/Contract Number:  
FG02-03ER46028; J1102; AC02-07CH11358; W911NF-12-0607; 319360
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 Volume: 113 Journal Issue: 42; Journal ID: ISSN 0027-8424
Publisher:
Proceedings of the National Academy of Sciences
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; 77 NANOSCIENCE AND NANOTECHNOLOGY; Si/SiGe quantum dot; qubit; dynamical decoupling; randomized benchmarking; electron spin

Citation Formats

Kawakami, Erika, Jullien, Thibaut, Scarlino, Pasquale, Ward, Daniel R., Savage, Donald E., Lagally, Max G., Dobrovitski, Viatcheslav V., Friesen, Mark, Coppersmith, Susan N., Eriksson, Mark A., and Vandersypen, Lieven M. K.. Gate fidelity and coherence of an electron spin in an Si/SiGe quantum dot with micromagnet. United States: N. p., 2016. Web. https://doi.org/10.1073/pnas.1603251113.
Kawakami, Erika, Jullien, Thibaut, Scarlino, Pasquale, Ward, Daniel R., Savage, Donald E., Lagally, Max G., Dobrovitski, Viatcheslav V., Friesen, Mark, Coppersmith, Susan N., Eriksson, Mark A., & Vandersypen, Lieven M. K.. Gate fidelity and coherence of an electron spin in an Si/SiGe quantum dot with micromagnet. United States. https://doi.org/10.1073/pnas.1603251113
Kawakami, Erika, Jullien, Thibaut, Scarlino, Pasquale, Ward, Daniel R., Savage, Donald E., Lagally, Max G., Dobrovitski, Viatcheslav V., Friesen, Mark, Coppersmith, Susan N., Eriksson, Mark A., and Vandersypen, Lieven M. K.. Mon . "Gate fidelity and coherence of an electron spin in an Si/SiGe quantum dot with micromagnet". United States. https://doi.org/10.1073/pnas.1603251113.
@article{osti_1328496,
title = {Gate fidelity and coherence of an electron spin in an Si/SiGe quantum dot with micromagnet},
author = {Kawakami, Erika and Jullien, Thibaut and Scarlino, Pasquale and Ward, Daniel R. and Savage, Donald E. and Lagally, Max G. and Dobrovitski, Viatcheslav V. and Friesen, Mark and Coppersmith, Susan N. and Eriksson, Mark A. and Vandersypen, Lieven M. K.},
abstractNote = {A quantum computer is able to solve certain problems that cannot be solved by a classical computer within a reasonable time. The building block of a quantum computer is called a quantum bit (qubit), the counterpart of the conventional binary digit (bit). A qubit unavoidably interacts with its environment, leading to errors in the qubit state. This article reports on the qubit performance of an electron spin in a silicon/silicon-germanium (Si/SiGe) quantum dot, and examines the dominant error mechanisms. We demonstrate that this qubit can be electrically controlled with sufficient accuracy so that remaining errors could, in principle, be corrected using known protocols, even without isotopically purified silicon. This qubit also offers a quantum memory that lasts for almost 0.5 ms.},
doi = {10.1073/pnas.1603251113},
journal = {Proceedings of the National Academy of Sciences of the United States of America},
number = 42,
volume = 113,
place = {United States},
year = {2016},
month = {10}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1073/pnas.1603251113

Citation Metrics:
Cited by: 13 works
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Works referenced in this record:

Storing quantum information for 30 seconds in a nanoelectronic device
journal, October 2014

  • Muhonen, Juha T.; Dehollain, Juan P.; Laucht, Arne
  • Nature Nanotechnology, Vol. 9, Issue 12
  • DOI: 10.1038/nnano.2014.211

Universal Dynamical Decoupling of a Single Solid-State Spin from a Spin Bath
journal, September 2010


Modified Spin‐Echo Method for Measuring Nuclear Relaxation Times
journal, August 1958

  • Meiboom, S.; Gill, D.
  • Review of Scientific Instruments, Vol. 29, Issue 8
  • DOI: 10.1063/1.1716296

Quantum many-body theory of qubit decoherence in a finite-size spin bath. II. Ensemble dynamics
journal, March 2009


An addressable quantum dot qubit with fault-tolerant control-fidelity
journal, October 2014

  • Veldhorst, M.; Hwang, J. C. C.; Yang, C. H.
  • Nature Nanotechnology, Vol. 9, Issue 12
  • DOI: 10.1038/nnano.2014.216

Quantum control and process tomography of a semiconductor quantum dot hybrid qubit
journal, July 2014


Effect of pulse error accumulation on dynamical decoupling of the electron spins of phosphorus donors in silicon
journal, February 2012


Dephasing time of GaAs electron-spin qubits coupled to a nuclear bath exceeding 200 μs
journal, December 2010

  • Bluhm, Hendrik; Foletti, Sandra; Neder, Izhar
  • Nature Physics, Vol. 7, Issue 2
  • DOI: 10.1038/nphys1856

Randomized benchmarking of quantum gates
journal, January 2008


Noise spectroscopy through dynamical decoupling with a superconducting flux qubit
journal, May 2011

  • Bylander, Jonas; Gustavsson, Simon; Yan, Fei
  • Nature Physics, Vol. 7, Issue 7
  • DOI: 10.1038/nphys1994

Superconducting quantum circuits at the surface code threshold for fault tolerance
journal, April 2014


Quantifying the quantum gate fidelity of single-atom spin qubits in silicon by randomized benchmarking
journal, March 2015


NMR techniques for quantum control and computation
journal, January 2005


Electron spin coherence exceeding seconds in high-purity silicon
journal, December 2011

  • Tyryshkin, Alexei M.; Tojo, Shinichi; Morton, John J. L.
  • Nature Materials, Vol. 11, Issue 2
  • DOI: 10.1038/nmat3182

Iterative rotation scheme for robust dynamical decoupling
journal, May 2012


Coherent singlet-triplet oscillations in a silicon-based double quantum dot
journal, January 2012

  • Maune, B. M.; Borselli, M. G.; Huang, B.
  • Nature, Vol. 481, Issue 7381
  • DOI: 10.1038/nature10707

Investigating the limits of randomized benchmarking protocols
journal, June 2014


Demonstration of Entanglement of Electrostatically Coupled Singlet-Triplet Qubits
journal, April 2012

  • Shulman, M. D.; Dial, O. E.; Harvey, S. P.
  • Science, Vol. 336, Issue 6078, p. 202-205
  • DOI: 10.1126/science.1217692

Scaling of Dynamical Decoupling for Spin Qubits
journal, February 2012


New, compensated Carr-Purcell sequences
journal, October 1990

  • Gullion, Terry; Baker, David B.; Conradi, Mark S.
  • Journal of Magnetic Resonance (1969), Vol. 89, Issue 3
  • DOI: 10.1016/0022-2364(90)90331-3

Nonexponential fidelity decay in randomized benchmarking with low-frequency noise
journal, August 2015


High-fidelity resonant gating of a silicon-based quantum dot hybrid qubit
journal, October 2015

  • Kim, Dohun; Ward, Daniel R.; Simmons, Christie B.
  • npj Quantum Information, Vol. 1, Issue 1
  • DOI: 10.1038/npjqi.2015.4

Keeping a Quantum Bit Alive by Optimized π -Pulse Sequences
journal, March 2007


Embracing the quantum limit in silicon computing
journal, November 2011

  • Morton, John J. L.; McCamey, Dane R.; Eriksson, Mark A.
  • Nature, Vol. 479, Issue 7373
  • DOI: 10.1038/nature10681

Modified Carr-Purcell-Meiboom-Gill sequence for NMR fourier imaging applications
journal, October 1986


Characterizing quantum gates via randomized benchmarking
journal, April 2012


Surface codes: Towards practical large-scale quantum computation
journal, September 2012


A two-qubit logic gate in silicon
journal, October 2015

  • Veldhorst, M.; Yang, C. H.; Hwang, J. C. C.
  • Nature, Vol. 526, Issue 7573, p. 410-414
  • DOI: 10.1038/nature15263

Effects of time-reversal symmetry in dynamical decoupling
journal, March 2012


Electron Spin Dephasing due to Hyperfine Interactions with a Nuclear Spin Bath
journal, February 2009


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


Silicon quantum electronics
journal, July 2013

  • Zwanenburg, Floris A.; Dzurak, Andrew S.; Morello, Andrea
  • Reviews of Modern Physics, Vol. 85, Issue 3
  • DOI: 10.1103/RevModPhys.85.961

Single-spin CCD
journal, January 2016


How to enhance dephasing time in superconducting qubits
journal, May 2008


Spin-Relaxation Anisotropy in a GaAs Quantum Dot
journal, December 2014


Decoherence in qubits due to low-frequency noise
journal, February 2009


Effects of Diffusion on Free Precession in Nuclear Magnetic Resonance Experiments
journal, May 1954


Electrical control of a long-lived spin qubit in a Si/SiGe quantum dot
journal, August 2014


Single-shot read-out of an individual electron spin in a quantum dot
journal, July 2004

  • Elzerman, J. M.; Hanson, R.; Willems van Beveren, L. H.
  • Nature, Vol. 430, Issue 6998
  • DOI: 10.1038/nature02693

    Works referencing / citing this record:

    A programmable two-qubit quantum processor in silicon
    journal, February 2018

    • Watson, T. F.; Philips, S. G. J.; Kawakami, E.
    • Nature, Vol. 555, Issue 7698
    • DOI: 10.1038/nature25766

    Integrated silicon qubit platform with single-spin addressability, exchange control and single-shot singlet-triplet readout
    journal, October 2018


    Enhancing the dipolar coupling of a S-T0 qubit with a transverse sweet spot
    journal, December 2019

    • Abadillo-Uriel, J. C.; Eriksson, M. A.; Coppersmith, S. N.
    • Nature Communications, Vol. 10, Issue 1
    • DOI: 10.1038/s41467-019-13548-w

    High-fidelity entangling gate for double-quantum-dot spin qubits
    journal, January 2017

    • Nichol, John M.; Orona, Lucas A.; Harvey, Shannon P.
    • npj Quantum Information, Vol. 3, Issue 1
    • DOI: 10.1038/s41534-016-0003-1

    Optimized electrical control of a Si/SiGe spin qubit in the presence of an induced frequency shift
    journal, October 2018


    Spin decoherence in a two-qubit CPHASE gate: the critical role of tunneling noise
    journal, November 2018

    • Huang, Peihao; Zimmerman, Neil M.; Bryant, Garnett W.
    • npj Quantum Information, Vol. 4, Issue 1
    • DOI: 10.1038/s41534-018-0112-0

    Achieving high-fidelity single-qubit gates in a strongly driven charge qubit with 1/f charge noise
    journal, January 2019


    Adiabatic two-qubit gates in capacitively coupled quantum dot hybrid qubits
    journal, September 2019


    Quantifying error and leakage in an encoded Si/SiGe triple-dot qubit
    journal, July 2019


    Single-Shot Readout Performance of Two Heterojunction-Bipolar-Transistor Amplification Circuits at Millikelvin Temperatures
    journal, November 2019


    Silicon qubit fidelities approaching incoherent noise limits via pulse engineering
    journal, April 2019


    Enhancement-mode two-channel triple quantum dot from an undoped Si/Si 0.8 Ge 0.2 quantum well hetero-structure
    journal, June 2018

    • Studenikin, S. A.; Gaudreau, L.; Kataoka, K.
    • Applied Physics Letters, Vol. 112, Issue 23
    • DOI: 10.1063/1.5023596

    Quantum dots with split enhancement gate tunnel barrier control
    journal, February 2019

    • Rochette, S.; Rudolph, M.; Roy, A. -M.
    • Applied Physics Letters, Vol. 114, Issue 8
    • DOI: 10.1063/1.5091111

    Sensitive measurement of phase shift of an AC magnetic field by quantum sensing with multiple-pulse decoupling sequences
    journal, August 2019

    • Ishikawa, Toyofumi; Yoshizawa, Akio; Mawatari, Yasunori
    • Journal of Applied Physics, Vol. 126, Issue 6
    • DOI: 10.1063/1.5096610

    Environmental noise spectroscopy with qubits subjected to dynamical decoupling
    journal, July 2017

    • Szańkowski, P.; Ramon, G.; Krzywda, J.
    • Journal of Physics: Condensed Matter, Vol. 29, Issue 33
    • DOI: 10.1088/1361-648x/aa7648

    Charge noise induced spin dephasing in a nanowire double quantum dot with spin–orbit coupling
    journal, October 2019


    Few-electrode design for silicon MOS quantum dots
    journal, November 2019

    • Ramirez, Eduardo B.; Sfigakis, Francois; Kudva, Sukanya
    • Semiconductor Science and Technology, Vol. 35, Issue 1
    • DOI: 10.1088/1361-6641/ab516a

    High-fidelity single-qubit gates in a strongly driven quantum-dot hybrid qubit with 1 / f charge noise
    journal, August 2019


    Entanglement and objectivity in pure dephasing models
    journal, December 2019


    High-fidelity entangling gates for quantum-dot hybrid qubits based on exchange interactions
    journal, January 2020


    Protocol for fermionic positive-operator-valued measures
    journal, November 2017


    Characterization of a quasistatic environment with a qubit
    journal, June 2019


    Radio-Frequency Capacitive Gate-Based Sensing
    journal, July 2018


    Spin-Blockade Spectroscopy of Si / Si - Ge Quantum Dots
    journal, July 2019


    Measurements of Capacitive Coupling Within a Quadruple-Quantum-Dot Array
    journal, December 2019


    Fast high-fidelity entangling gates for spin qubits in Si double quantum dots
    journal, July 2019


    Trispectrum reconstruction of non-Gaussian noise
    journal, October 2019


    Adiabatic electron charge transfer between two quantum dots in presence of 1 / f noise
    journal, January 2020


    Entangling distant resonant exchange qubits via circuit quantum electrodynamics
    journal, November 2016


    Pulse sequences for suppressing leakage in single-qubit gate operations
    journal, June 2017


    Symmetric operation of the resonant exchange qubit
    journal, July 2017


    Negative exchange interactions in coupled few-electron quantum dots
    journal, June 2018

    • Deng, Kuangyin; Calderon-Vargas, F. A.; Mayhall, Nicholas J.
    • Physical Review B, Vol. 97, Issue 24
    • DOI: 10.1103/physrevb.97.245301

    Pulse sequence designed for robust C -phase gates in SiMOS and Si/SiGe double quantum dots
    journal, October 2018


    Indications of a soft cutoff frequency in the charge noise of a Si/SiGe quantum dot spin qubit
    journal, February 2019


    Spin of a Multielectron Quantum Dot and Its Interaction with a Neighboring Electron
    journal, March 2018

    • Malinowski, Filip K.; Martins, Frederico; Smith, Thomas B.
    • Physical Review X, Vol. 8, Issue 1
    • DOI: 10.1103/physrevx.8.011045

    High-Fidelity Single-Shot Readout for a Spin Qubit via an Enhanced Latching Mechanism
    journal, May 2018

    • Harvey-Collard, Patrick; D’Anjou, Benjamin; Rudolph, Martin
    • Physical Review X, Vol. 8, Issue 2
    • DOI: 10.1103/physrevx.8.021046

    Logical Qubit in a Linear Array of Semiconductor Quantum Dots
    journal, June 2018


    Comparing the randomized benchmarking figure with the average infidelity of a quantum gate-set
    journal, June 2019


    A Silicon Surface Code Architecture Resilient Against Leakage Errors
    journal, December 2019