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Title: State-conditional coherent charge qubit oscillations in a Si/SiGe quadruple quantum dot

Abstract

Universal quantum computation requires high-fidelity single-qubit rotations and controlled two-qubit gates. Along with high-fidelity single-qubit gates, strong efforts have been made in developing robust two-qubit logic gates in electrically gated quantum dot systems to realise a compact and nanofabrication-compatible architecture. Here we perform measurements of state-conditional coherent oscillations of a charge qubit. Using four coupled quantum dots formed in a layered silicon and silicon-germanium structure, we show the first demonstration of coherent two-axis control of a double quantum dot charge qubit in undoped silicon/silicon-germanium, performing two types of qubit measurements. We extract the strength of the capacitive coupling between a pair of double quantum dots by measuring the detuning energy shift of one double dot depending on the excess charge configuration of the other double dot. We further demonstrate that the strong capacitive coupling allows fast, state-conditional quantum oscillations with a conditional pi phase flip time of about 80 ps, showing a promising pathway towards multi-qubit entanglement and control in semiconductor quantum dots.

Authors:
 [1]; ORCiD logo [2];  [3];  [3];  [4];  [4];  [4];  [4]
  1. Univ. of Wisconsin, Madison, WI (United States). Dept. of Physics; Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
  2. Univ. of Wisconsin, Madison, WI (United States). Dept. of Physics; Seoul National Univ. (Korea, Republic of). Dept. of Physics and Astronomy
  3. Univ. of Wisconsin, Madison, WI (United States). Dept. of Materials Science and Engineering
  4. Univ. of Wisconsin, Madison, WI (United States). Dept. of Physics
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States); Univ. of Wisconsin, Madison, WI (United States)
Sponsoring Org.:
USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA); US Army Research Office (ARO); National Science Foundation (NSF); US Department of the Navy, Office of Naval Research (ONR); USDOD; Korea Inst. of Science and Technology (KIST) (Korea, Republic of); USDOE Office of Science (SC), Basic Energy Sciences (BES)
Contributing Org.:
Seoul National Univ. (Korea, Republic of)
OSTI Identifier:
1340242
Alternate Identifier(s):
OSTI ID: 1356176
Report Number(s):
SAND2016-3914J
Journal ID: ISSN 2056-6387; npjqi201632
Grant/Contract Number:  
AC04-94AL85000; FG02-03ER46028; W911NF-12-0607; DMR-1206915; PHY-1104660; N00014-15-1-0029; 2E26681
Resource Type:
Accepted Manuscript
Journal Name:
npj Quantum Information
Additional Journal Information:
Journal Volume: 2; Journal ID: ISSN 2056-6387
Publisher:
Nature Partner Journals
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; electronic and spintronic devices; quantum dots; quantum information; qubits; 77 NANOSCIENCE AND NANOTECHNOLOGY

Citation Formats

Ward, Daniel R., Kim, Dohun, Savage, Donald E., Lagally, Max G., Foote, Ryan H., Friesen, Mark, Coppersmith, Susan N., and Eriksson, Mark A. State-conditional coherent charge qubit oscillations in a Si/SiGe quadruple quantum dot. United States: N. p., 2016. Web. doi:10.1038/npjqi.2016.32.
Ward, Daniel R., Kim, Dohun, Savage, Donald E., Lagally, Max G., Foote, Ryan H., Friesen, Mark, Coppersmith, Susan N., & Eriksson, Mark A. State-conditional coherent charge qubit oscillations in a Si/SiGe quadruple quantum dot. United States. https://doi.org/10.1038/npjqi.2016.32
Ward, Daniel R., Kim, Dohun, Savage, Donald E., Lagally, Max G., Foote, Ryan H., Friesen, Mark, Coppersmith, Susan N., and Eriksson, Mark A. Tue . "State-conditional coherent charge qubit oscillations in a Si/SiGe quadruple quantum dot". United States. https://doi.org/10.1038/npjqi.2016.32. https://www.osti.gov/servlets/purl/1340242.
@article{osti_1340242,
title = {State-conditional coherent charge qubit oscillations in a Si/SiGe quadruple quantum dot},
author = {Ward, Daniel R. and Kim, Dohun and Savage, Donald E. and Lagally, Max G. and Foote, Ryan H. and Friesen, Mark and Coppersmith, Susan N. and Eriksson, Mark A.},
abstractNote = {Universal quantum computation requires high-fidelity single-qubit rotations and controlled two-qubit gates. Along with high-fidelity single-qubit gates, strong efforts have been made in developing robust two-qubit logic gates in electrically gated quantum dot systems to realise a compact and nanofabrication-compatible architecture. Here we perform measurements of state-conditional coherent oscillations of a charge qubit. Using four coupled quantum dots formed in a layered silicon and silicon-germanium structure, we show the first demonstration of coherent two-axis control of a double quantum dot charge qubit in undoped silicon/silicon-germanium, performing two types of qubit measurements. We extract the strength of the capacitive coupling between a pair of double quantum dots by measuring the detuning energy shift of one double dot depending on the excess charge configuration of the other double dot. We further demonstrate that the strong capacitive coupling allows fast, state-conditional quantum oscillations with a conditional pi phase flip time of about 80 ps, showing a promising pathway towards multi-qubit entanglement and control in semiconductor quantum dots.},
doi = {10.1038/npjqi.2016.32},
journal = {npj Quantum Information},
number = ,
volume = 2,
place = {United States},
year = {Tue Oct 18 00:00:00 EDT 2016},
month = {Tue Oct 18 00:00:00 EDT 2016}
}

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Works referenced in this record:

A Reconfigurable Gate Architecture for Si/SiGe Quantum Dots
text, January 2015


A silicon-based nuclear spin quantum computer
journal, May 1998


Microwave-driven coherent operation of a semiconductor quantum dot charge qubit
journal, February 2015


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

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


A single-atom electron spin qubit in silicon
text, January 2013


A coherent beam splitter for electronic spin states
text, January 2010


Quantum control and process tomography of a semiconductor quantum dot hybrid qubit
text, January 2014


Landau-Zener-Stückelberg interferometry of a single electron charge qubit
journal, September 2012


Microwave-driven coherent operations of a semiconductor quantum dot charge qubit
text, January 2014


Charge-State Conditional Operation of a Spin Qubit
journal, July 2011


Self-consistent measurement and state tomography of an exchange-only spin qubit
journal, September 2013


Coherent control of three-spin states in a triple quantum dot
journal, November 2011

  • Gaudreau, L.; Granger, G.; Kam, A.
  • Nature Physics, Vol. 8, Issue 1
  • DOI: 10.1038/nphys2149

A fault-tolerant addressable spin qubit in a natural silicon quantum dot
text, January 2016


Electrically driven single-electron spin resonance in a slanting Zeeman field
journal, August 2008

  • Pioro-Ladrière, M.; Obata, T.; Tokura, Y.
  • Nature Physics, Vol. 4, Issue 10
  • DOI: 10.1038/nphys1053

Driven coherent oscillations of a single electron spin in a quantum dot
journal, August 2006

  • Koppens, F. H. L.; Buizert, C.; Tielrooij, K. J.
  • Nature, Vol. 442, Issue 7104
  • DOI: 10.1038/nature05065

Fast coherent manipulation of three-electron states in a double quantum dot
text, January 2013


Coherent spin manipulation in an exchange-only qubit
text, January 2010


Pulse-gated quantum dot hybrid qubit
text, January 2012


Quantum Coherence in a One-Electron Semiconductor Charge Qubit
text, January 2010


Microwave-Driven Transitions in Two Coupled Semiconductor Charge Qubits
journal, July 2009


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

Coherent Manipulation of Coupled Electron Spins in Semiconductor Quantum Dots
journal, September 2005


Coherent spin manipulation in an exchange-only qubit
journal, August 2010


Tunable Hybrid Qubit in a GaAs Double Quantum Dot
journal, February 2016


Coherent spin manipulation in an exchange-only qubit
text, January 2010


Landau-Zener-Stuckelberg Interferometry of a Single Electron Charge Qubit
text, January 2012


Microwave-Driven Transitions in Two Coupled Semiconductor Charge Qubits
text, January 2009


Charge Relaxation in a Single-Electron Si / SiGe Double Quantum Dot
journal, July 2013


Single-Shot Measurement of Triplet-Singlet Relaxation in a Si / SiGe Double Quantum Dot
journal, January 2012


Fast Spin-Orbit Qubit in an Indium Antimonide Nanowire
journal, February 2013


Nonadiabatic quantum control of a semiconductor charge qubit
journal, October 2011


Ultrafast universal quantum control of a quantum-dot charge qubit using Landau–Zener–Stückelberg interference
journal, January 2013

  • Cao, Gang; Li, Hai-Ou; Tu, Tao
  • Nature Communications, Vol. 4, Issue 1
  • DOI: 10.1038/ncomms2412

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

An addressable quantum dot qubit with fault-tolerant control fidelity
text, January 2014


Fast spin-orbit qubit in an indium antimonide nanowire
text, January 2012


Pulse-Gated Quantum-Dot Hybrid Qubit
journal, December 2012


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

Single-shot measurement of triplet-singlet relaxation in a Si/SiGe double quantum dot
text, January 2011


A single-atom electron spin qubit in silicon
text, January 2013


Coherent Manipulation of Electronic States in a Double Quantum Dot
journal, November 2003


A single-atom electron spin qubit in silicon
journal, September 2012

  • Pla, Jarryd J.; Tan, Kuan Y.; Dehollain, Juan P.
  • Nature, Vol. 489, Issue 7417
  • DOI: 10.1038/nature11449

Correlated coherent oscillations in coupled semiconductor charge qubits
preprint, January 2009


Landau–Zener–Stückelberg interferometry
journal, July 2010


Driven coherent oscillations of a single electron spin in a quantum dot
text, January 2006


Universal quantum control of two-electron spin quantum bits using dynamic nuclear polarization
text, January 2010


Universal quantum control of two-electron spin quantum bits using dynamic nuclear polarization
text, January 2010


Quantum Coherence in a One-Electron Semiconductor Charge Qubit
journal, December 2010


Tunable Hybrid Qubit in a GaAs Double Quantum Dot
text, January 2015


Tunable Spin Loading and T 1 of a Silicon Spin Qubit Measured by Single-Shot Readout
journal, April 2011


A Coherent Beam Splitter for Electronic Spin States
journal, February 2010


Spin readout and addressability of phosphorus-donor clusters in silicon
journal, June 2013

  • Büch, H.; Mahapatra, S.; Rahman, R.
  • Nature Communications, Vol. 4, Issue 1
  • DOI: 10.1038/ncomms3017

Coherent quantum oscillations and echo measurements of a Si charge qubit
journal, August 2013


Correlated Coherent Oscillations in Coupled Semiconductor Charge Qubits
journal, July 2009


Enhancement-Mode Buried Strained Silicon Channel Double Quantum Dot with Integrated Electrometer
journal, March 2013


Quantum computation with quantum dots
journal, January 1998


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

Fast coherent manipulation of three-electron states in a double quantum dot
journal, January 2014

  • Shi, Zhan; Simmons, C. B.; Ward, Daniel R.
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms4020

Spins in few-electron quantum dots
journal, October 2007


Conditional rotation of two strongly coupled semiconductor charge qubits
journal, July 2015

  • Li, Hai-Ou; Cao, Gang; Yu, Guo-Dong
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms8681

Fast Hybrid Silicon Double-Quantum-Dot Qubit
journal, April 2012


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

Quantum Coherence in a One-Electron Semiconductor Charge Qubit
text, January 2010


Nonadiabatic quantum control of a semiconductor charge qubit
text, January 2011


High fidelity resonant gating of a silicon based quantum dot hybrid qubit
text, January 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

Coherent manipulation of electronic states in a double quantum dot
text, January 2003


Universal quantum control of two-electron spin quantum bits using dynamic nuclear polarization
journal, October 2009

  • Foletti, Sandra; Bluhm, Hendrik; Mahalu, Diana
  • Nature Physics, Vol. 5, Issue 12
  • DOI: 10.1038/nphys1424

Isotopically enhanced triple-quantum-dot qubit
journal, May 2015


Reduced Sensitivity to Charge Noise in Semiconductor Spin Qubits via Symmetric Operation
journal, March 2016


Two-axis control of a singlet-triplet qubit with an integrated micromagnet
journal, August 2014

  • Wu, X.; Ward, D. R.; Prance, J. R.
  • Proceedings of the National Academy of Sciences, Vol. 111, Issue 33
  • DOI: 10.1073/pnas.1412230111

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

Coherent control of three-spin states in a triple quantum dot
text, January 2011


Driven coherent oscillations of a single electron spin in a quantum dot
journal, August 2006

  • Koppens, F. H. L.; Buizert, C.; Tielrooij, K. J.
  • Nature, Vol. 442, Issue 7104
  • DOI: 10.1038/nature05065

Reduced sensitivity to charge noise in semiconductor spin qubits via symmetric operation
text, January 2015


Landau-Zener-Stuckelberg interferometry
text, January 2009


Noise Suppression Using Symmetric Exchange Gates in Spin Qubits
journal, March 2016


A fault-tolerant addressable spin qubit in a natural silicon quantum dot
journal, August 2016


Works referencing / citing this record:

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


Ubiquitous Nonlocal Entanglement with Majorana Zero Modes
journal, October 2017


Three-electron spin qubits
journal, August 2017

  • Russ, Maximilian; Burkard, Guido
  • Journal of Physics: Condensed Matter, Vol. 29, Issue 39
  • DOI: 10.1088/1361-648x/aa761f

High-Fidelity Entangling Gates for Quantum-Dot Hybrid Qubits Based on Exchange Interactions
text, January 2019


Suppression of Leakage for a Charge Qubit in Triangular Triple Quantum Dots
journal, October 2019


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


Three-electron spin qubits
text, January 2016


Semiconductor quantum computation
journal, December 2018

  • Zhang, Xin; Li, Hai-Ou; Cao, Gang
  • National Science Review, Vol. 6, Issue 1
  • DOI: 10.1093/nsr/nwy153

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


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


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


Quantum supercapacitors
journal, August 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