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

Title: Universal control of a six-qubit quantum processor in silicon

Abstract

Future quantum computers capable of solving relevant problems will require a large number of qubits that can be operated reliably. However, the requirements of having a large qubit count and operating with high fidelity are typically conflicting. Spins in semiconductor quantum dots show long-term promise but demonstrations so far use between one and four qubits and typically optimize the fidelity of either single- or two-qubit operations, or initialization and readout. Here, we increase the number of qubits and simultaneously achieve respectable fidelities for universal operation, state preparation and measurement. We design, fabricate and operate a six-qubit processor with a focus on careful Hamiltonian engineering, on a high level of abstraction to program the quantum circuits, and on efficient background calibration, all of which are essential to achieve high fidelities on this extended system. State preparation combines initialization by measurement and real-time feedback with quantum-non-demolition measurements. These advances will enable testing of increasingly meaningful quantum protocols and constitute a major stepping stone towards large-scale quantum computers.

Authors:
 [1]; ORCiD logo [1];  [1]; ORCiD logo [1]; ORCiD logo [1];  [1]; ORCiD logo [1]; ORCiD logo [1];  [2];  [2]; ORCiD logo [1];  [2]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]
  1. Delft University of Technology (Netherlands). Kavli Institute of Nanoscience
  2. Delft University of Technology (Netherlands)
Publication Date:
Research Org.:
Univ. of Wisconsin, Madison, WI (United States); Delft Univ. of Technology (Netherlands)
Sponsoring Org.:
USDOE Office of Science (SC); Army Research Office (ARO); Marie Skłodowska-Curie; Keysight’s University Research Collaborations
OSTI Identifier:
1904681
Grant/Contract Number:  
FG02-03ER46028; W911NF-17-1-0274; W911NF-12-1-0607; 676108
Resource Type:
Accepted Manuscript
Journal Name:
Nature (London)
Additional Journal Information:
Journal Name: Nature (London); Journal Volume: 609; Journal Issue: 7929; Journal ID: ISSN 0028-0836
Publisher:
Nature Publishing Group
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICS AND COMPUTING; quantum information; qubits

Citation Formats

Philips, Stephan G. J., Mądzik, Mateusz T., Amitonov, Sergey V., de Snoo, Sander L., Russ, Maximilian, Kalhor, Nima, Volk, Christian, Lawrie, William L., Brousse, Delphine, Tryputen, Larysa, Wuetz, Brian Paquelet, Sammak, Amir, Veldhorst, Menno, Scappucci, Giordano, and Vandersypen, Lieven M. K. Universal control of a six-qubit quantum processor in silicon. United States: N. p., 2022. Web. doi:10.1038/s41586-022-05117-x.
Philips, Stephan G. J., Mądzik, Mateusz T., Amitonov, Sergey V., de Snoo, Sander L., Russ, Maximilian, Kalhor, Nima, Volk, Christian, Lawrie, William L., Brousse, Delphine, Tryputen, Larysa, Wuetz, Brian Paquelet, Sammak, Amir, Veldhorst, Menno, Scappucci, Giordano, & Vandersypen, Lieven M. K. Universal control of a six-qubit quantum processor in silicon. United States. https://doi.org/10.1038/s41586-022-05117-x
Philips, Stephan G. J., Mądzik, Mateusz T., Amitonov, Sergey V., de Snoo, Sander L., Russ, Maximilian, Kalhor, Nima, Volk, Christian, Lawrie, William L., Brousse, Delphine, Tryputen, Larysa, Wuetz, Brian Paquelet, Sammak, Amir, Veldhorst, Menno, Scappucci, Giordano, and Vandersypen, Lieven M. K. Wed . "Universal control of a six-qubit quantum processor in silicon". United States. https://doi.org/10.1038/s41586-022-05117-x. https://www.osti.gov/servlets/purl/1904681.
@article{osti_1904681,
title = {Universal control of a six-qubit quantum processor in silicon},
author = {Philips, Stephan G. J. and Mądzik, Mateusz T. and Amitonov, Sergey V. and de Snoo, Sander L. and Russ, Maximilian and Kalhor, Nima and Volk, Christian and Lawrie, William L. and Brousse, Delphine and Tryputen, Larysa and Wuetz, Brian Paquelet and Sammak, Amir and Veldhorst, Menno and Scappucci, Giordano and Vandersypen, Lieven M. K.},
abstractNote = {Future quantum computers capable of solving relevant problems will require a large number of qubits that can be operated reliably. However, the requirements of having a large qubit count and operating with high fidelity are typically conflicting. Spins in semiconductor quantum dots show long-term promise but demonstrations so far use between one and four qubits and typically optimize the fidelity of either single- or two-qubit operations, or initialization and readout. Here, we increase the number of qubits and simultaneously achieve respectable fidelities for universal operation, state preparation and measurement. We design, fabricate and operate a six-qubit processor with a focus on careful Hamiltonian engineering, on a high level of abstraction to program the quantum circuits, and on efficient background calibration, all of which are essential to achieve high fidelities on this extended system. State preparation combines initialization by measurement and real-time feedback with quantum-non-demolition measurements. These advances will enable testing of increasingly meaningful quantum protocols and constitute a major stepping stone towards large-scale quantum computers.},
doi = {10.1038/s41586-022-05117-x},
journal = {Nature (London)},
number = 7929,
volume = 609,
place = {United States},
year = {Wed Sep 28 00:00:00 EDT 2022},
month = {Wed Sep 28 00:00:00 EDT 2022}
}

Works referenced in this record:

Quantum computational advantage using photons
journal, December 2020


High-performance superconducting quantum processors via laser annealing of transmon qubits
journal, May 2022

  • Zhang, Eric J.; Srinivasan, Srikanth; Sundaresan, Neereja
  • Science Advances, Vol. 8, Issue 19
  • DOI: 10.1126/sciadv.abi6690

A reconfigurable gate architecture for Si/SiGe quantum dots
journal, June 2015

  • Zajac, D. M.; Hazard, T. M.; Mi, X.
  • Applied Physics Letters, Vol. 106, Issue 22
  • DOI: 10.1063/1.4922249

Trapped-ion quantum computing: Progress and challenges
journal, June 2019

  • Bruzewicz, Colin D.; Chiaverini, John; McConnell, Robert
  • Applied Physics Reviews, Vol. 6, Issue 2
  • DOI: 10.1063/1.5088164

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

High-fidelity quantum gates in Si/SiGe double quantum dots
journal, February 2018


Silicon CMOS architecture for a spin-based quantum computer
journal, December 2017


Quantum dot arrays in silicon and germanium
journal, February 2020

  • Lawrie, W. I. L.; Eenink, H. G. J.; Hendrickx, N. W.
  • Applied Physics Letters, Vol. 116, Issue 8
  • DOI: 10.1063/5.0002013

Precision tomography of a three-qubit donor quantum processor in silicon
journal, January 2022


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


Fault-tolerant control of an error-corrected qubit
journal, October 2021


Qubits made by advanced semiconductor manufacturing
journal, March 2022


Interfacing spin qubits in quantum dots and donors—hot, dense, and coherent
journal, September 2017


Two-qubit silicon quantum processor with operation fidelity exceeding 99%
journal, April 2022

  • Mills, Adam R.; Guinn, Charles R.; Gullans, Michael J.
  • Science Advances, Vol. 8, Issue 14
  • DOI: 10.1126/sciadv.abn5130

Roads towards fault-tolerant universal quantum computation
journal, September 2017

  • Campbell, Earl T.; Terhal, Barbara M.; Vuillot, Christophe
  • Nature, Vol. 549, Issue 7671
  • DOI: 10.1038/nature23460

Radio-Frequency Reflectometry in Silicon-Based Quantum Dots
journal, July 2021


Quantum tomography of an entangled three-qubit state in silicon
journal, June 2021


A crossbar network for silicon quantum dot qubits
journal, July 2018


A quantum-dot spin qubit with coherence limited by charge noise and fidelity higher than 99.9%
journal, December 2017


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

Fast adiabatic qubit gates using only σ z control
journal, August 2014


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


Quantum error correction with silicon spin qubits
journal, August 2022


Fast universal quantum gate above the fault-tolerance threshold in silicon
journal, January 2022


Fidelity benchmarks for two-qubit gates in silicon
journal, May 2019


Simultaneous Operations in a Two-Dimensional Array of Singlet-Triplet Qubits
journal, October 2021


Experimental Signature of Phonon-Mediated Spin Relaxation in a Two-Electron Quantum Dot
journal, March 2007


Gate-Defined Quantum Dots in Intrinsic Silicon
journal, July 2007

  • Angus, Susan J.; Ferguson, Andrew J.; Dzurak, Andrew S.
  • Nano Letters, Vol. 7, Issue 7
  • DOI: 10.1021/nl070949k

Quantum circuits with many photons on a programmable nanophotonic chip
journal, March 2021


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


Quantum logic with spin qubits crossing the surface code threshold
journal, January 2022


Micromagnets for coherent control of spin-charge qubit in lateral quantum dots
journal, January 2007

  • Pioro-Ladrière, M.; Tokura, Y.; Obata, T.
  • Applied Physics Letters, Vol. 90, Issue 2
  • DOI: 10.1063/1.2430906

Loading a quantum-dot based “Qubyte” register
journal, April 2019


Fault-tolerant architecture for quantum computation using electrically controlled semiconductor spins
journal, December 2005

  • Taylor, J. M.; Engel, H.-A.; Dür, W.
  • Nature Physics, Vol. 1, Issue 3, p. 177-183
  • DOI: 10.1038/nphys174

Crosstalk analysis for single-qubit and two-qubit gates in spin qubit arrays
journal, July 2021


Do micromagnets expose spin qubits to charge and Johnson noise?
journal, October 2015

  • Kha, Allen; Joynt, Robert; Culcer, Dimitrie
  • Applied Physics Letters, Vol. 107, Issue 17
  • DOI: 10.1063/1.4934693

A four-qubit germanium quantum processor
journal, March 2021


Quantum computing with semiconductor spins
journal, August 2019

  • Vandersypen, Lieven M. K.; Eriksson, Mark A.
  • Physics Today, Vol. 72, Issue 8
  • DOI: 10.1063/PT.3.4270

Universal logic with encoded spin qubits in silicon
journal, February 2023


Pauli spin blockade in undoped Si/SiGe two-electron double quantum dots
journal, August 2011

  • Borselli, M. G.; Eng, K.; Croke, E. T.
  • Applied Physics Letters, Vol. 99, Issue 6
  • DOI: 10.1063/1.3623479

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

Entanglement in a solid-state spin ensemble
journal, January 2011

  • Simmons, Stephanie; Brown, Richard M.; Riemann, Helge
  • Nature, Vol. 470, Issue 7332
  • DOI: 10.1038/nature09696

Initialization by Measurement of a Superconducting Quantum Bit Circuit
journal, August 2012


Quantum supremacy using a programmable superconducting processor
journal, October 2019


Rapid High-Fidelity Spin-State Readout in Si / Si - Ge Quantum Dots via rf Reflectometry
journal, February 2020


Radio-Frequency-Detected Fast Charge Sensing in Undoped Silicon Quantum Dots
journal, January 2020


Coherent control of individual electron spins in a two-dimensional quantum dot array
journal, December 2020

  • Mortemousque, Pierre-André; Chanrion, Emmanuel; Jadot, Baptiste
  • Nature Nanotechnology, Vol. 16, Issue 3
  • DOI: 10.1038/s41565-020-00816-w

Resonantly driven CNOT gate for electron spins
journal, December 2017


Coherent manipulation of individual electron spin in a double quantum dot integrated with a micromagnet
journal, February 2010


Scalable Gate Architecture for a One-Dimensional Array of Semiconductor Spin Qubits
journal, November 2016


Fast and High-Fidelity State Preparation and Measurement in Triple-Quantum-Dot Spin Qubits
journal, March 2022


Robust and fragile entanglement of three qubits: Relation to permutation symmetry
journal, March 2002