Surface code architecture for donors and dots in silicon with imprecise and nonuniform qubit couplings
Abstract
A scaled quantum computer with donor spins in silicon would benefit from a viable semiconductor framework and a strong inherent decoupling of the qubits from the noisy environment. Coupling neighboring spins via the natural exchange interaction according to current designs requires gate control structures with extremely small length scales. In this work, we present a silicon architecture where bismuth donors with long coherence times are coupled to electrons that can shuttle between adjacent quantum dots, thus relaxing the pitch requirements and allowing space between donors for classical control devices. An adiabatic SWAP operation within each donor/dot pair solves the scalability issues intrinsic to exchange-based two-qubit gates, as it does not rely on subnanometer precision in donor placement and is robust against noise in the control fields. In conclusion, we use this SWAP together with well established global microwave Rabi pulses and parallel electron shuttling to construct a surface code that needs minimal, feasible local control.
- Authors:
-
- University of St. Andrews (United Kingdom). SUPA, School of Physics and Astronomy
- Princeton Univ., NJ (United States). Deptartment of Electrical Engineering
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Ion Beam Technology Group
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Fusion Energy Sciences (FES); USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1379035
- Alternate Identifier(s):
- OSTI ID: 1235641
- Grant/Contract Number:
- AC02-05CH11231; SC0002140
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 93; Journal Issue: 3; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 36 MATERIALS SCIENCE
Citation Formats
Pica, G., Lovett, B. W., Bhatt, R. N., Schenkel, T., and Lyon, S. A. Surface code architecture for donors and dots in silicon with imprecise and nonuniform qubit couplings. United States: N. p., 2016.
Web. doi:10.1103/PhysRevB.93.035306.
Pica, G., Lovett, B. W., Bhatt, R. N., Schenkel, T., & Lyon, S. A. Surface code architecture for donors and dots in silicon with imprecise and nonuniform qubit couplings. United States. https://doi.org/10.1103/PhysRevB.93.035306
Pica, G., Lovett, B. W., Bhatt, R. N., Schenkel, T., and Lyon, S. A. Thu .
"Surface code architecture for donors and dots in silicon with imprecise and nonuniform qubit couplings". United States. https://doi.org/10.1103/PhysRevB.93.035306. https://www.osti.gov/servlets/purl/1379035.
@article{osti_1379035,
title = {Surface code architecture for donors and dots in silicon with imprecise and nonuniform qubit couplings},
author = {Pica, G. and Lovett, B. W. and Bhatt, R. N. and Schenkel, T. and Lyon, S. A.},
abstractNote = {A scaled quantum computer with donor spins in silicon would benefit from a viable semiconductor framework and a strong inherent decoupling of the qubits from the noisy environment. Coupling neighboring spins via the natural exchange interaction according to current designs requires gate control structures with extremely small length scales. In this work, we present a silicon architecture where bismuth donors with long coherence times are coupled to electrons that can shuttle between adjacent quantum dots, thus relaxing the pitch requirements and allowing space between donors for classical control devices. An adiabatic SWAP operation within each donor/dot pair solves the scalability issues intrinsic to exchange-based two-qubit gates, as it does not rely on subnanometer precision in donor placement and is robust against noise in the control fields. In conclusion, we use this SWAP together with well established global microwave Rabi pulses and parallel electron shuttling to construct a surface code that needs minimal, feasible local control.},
doi = {10.1103/PhysRevB.93.035306},
journal = {Physical Review B},
number = 3,
volume = 93,
place = {United States},
year = {Thu Jan 14 00:00:00 EST 2016},
month = {Thu Jan 14 00:00:00 EST 2016}
}
Web of Science
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
Low-temperature magnetic susceptibility of Si: P in the nonmetallic region
journal, July 1981
- Andres, K.; Bhatt, R. N.; Goalwin, P.
- Physical Review B, Vol. 24, Issue 1
A silicon-based nuclear spin quantum computer
journal, May 1998
- Kane, B. E.
- Nature, Vol. 393, Issue 6681
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
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
The initialization and manipulation of quantum information stored in silicon by bismuth dopants
journal, August 2010
- Morley, Gavin W.; Warner, Marc; Stoneham, A. Marshall
- Nature Materials, Vol. 9, Issue 9
Exchange in Silicon-Based Quantum Computer Architecture
journal, December 2001
- Koiller, Belita; Hu, Xuedong; Das Sarma, S.
- Physical Review Letters, Vol. 88, Issue 2
Single-shot readout of an electron spin in silicon
journal, September 2010
- Morello, Andrea; Pla, Jarryd J.; Zwanenburg, Floris A.
- Nature, Vol. 467, Issue 7316
Charge Noise Spectroscopy Using Coherent Exchange Oscillations in a Singlet-Triplet Qubit
journal, April 2013
- Dial, O. E.; Shulman, M. D.; Harvey, S. P.
- Physical Review Letters, Vol. 110, Issue 14
A single-atom transistor
journal, February 2012
- Fuechsle, Martin; Miwa, Jill A.; Mahapatra, Suddhasatta
- Nature Nanotechnology, Vol. 7, Issue 4
Solid-state quantum memory using the 31P nuclear spin
journal, October 2008
- Morton, John J. L.; Tyryshkin, Alexei M.; Brown, Richard M.
- Nature, Vol. 455, Issue 7216
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
Coherent quantum oscillations and echo measurements of a Si charge qubit
journal, August 2013
- Shi, Zhan; Simmons, C. B.; Ward, Daniel R.
- Physical Review B, Vol. 88, Issue 7
Optical addressing of an individual erbium ion in silicon
journal, May 2013
- Yin, Chunming; Rancic, Milos; de Boo, Gabriele G.
- Nature, Vol. 497, Issue 7447
Quantum computation with quantum dots
journal, January 1998
- Loss, Daniel; DiVincenzo, David P.
- Physical Review A, Vol. 57, Issue 1
Quantifying the quantum gate fidelity of single-atom spin qubits in silicon by randomized benchmarking
journal, March 2015
- Muhonen, J. T.; Laucht, A.; Simmons, S.
- Journal of Physics: Condensed Matter, Vol. 27, Issue 15
Measurements of Coulomb blockade with a noninvasive voltage probe
journal, March 1993
- Field, M.; Smith, C. G.; Pepper, M.
- Physical Review Letters, Vol. 70, Issue 9
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
Quantum Control of Donor Electrons at the Interface
journal, March 2006
- Calderón, M. J.; Koiller, Belita; Hu, Xuedong
- Physical Review Letters, Vol. 96, Issue 9
Hybrid optical–electrical detection of donor electron spins with bound excitons in silicon
journal, March 2015
- Lo, C. C.; Urdampilleta, M.; Ross, P.
- Nature Materials, Vol. 14, Issue 5
Conservative logic
journal, April 1982
- Fredkin, Edward; Toffoli, Tommaso
- International Journal of Theoretical Physics, Vol. 21, Issue 3-4
Electron Spin Coherence and Electron Nuclear Double Resonance of Bi Donors in Natural Si
journal, August 2010
- George, Richard E.; Witzel, Wayne; Riemann, H.
- Physical Review Letters, Vol. 105, Issue 6
(Invited) Heterogeneous Integration of InP HBTs on CMOS: Leveraging and Providing Value to Conventional Silicon Technologies
journal, March 2013
- Li, J. C.; Royter, Y.; Patterson, P.
- ECS Transactions, Vol. 50, Issue 9
Charge Coupled Semiconductor Devices
journal, April 1970
- Boyle, W. S.; Smith, G. E.
- Bell System Technical Journal, Vol. 49, Issue 4
Bismuth Qubits in Silicon: The Role of EPR Cancellation Resonances
journal, August 2010
- Mohammady, M. H.; Morley, G. W.; Monteiro, T. S.
- Physical Review Letters, Vol. 105, Issue 6
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
Analysis of quantum coherence in bismuth-doped silicon: A system of strongly coupled spin qubits
journal, March 2012
- Mohammady, M. H.; Morley, G. W.; Nazir, A.
- Physical Review B, Vol. 85, Issue 9
Room-Temperature Quantum Bit Storage Exceeding 39 Minutes Using Ionized Donors in Silicon-28
journal, November 2013
- Saeedi, K.; Simmons, S.; Salvail, J. Z.
- Science, Vol. 342, Issue 6160
Observation of Nuclear Magnetic Resonances via the Electron Spin Resonance Line
journal, August 1956
- Feher, G.
- Physical Review, Vol. 103, Issue 3
Surface code quantum computing by lattice surgery
journal, December 2012
- Horsman, Clare; Fowler, Austin G.; Devitt, Simon
- New Journal of Physics, Vol. 14, Issue 12
Exchange coupling between silicon donors: The crucial role of the central cell and mass anisotropy
journal, June 2014
- Pica, G.; Lovett, B. W.; Bhatt, R. N.
- Physical Review B, Vol. 89, Issue 23
Spin relaxation and coherence times for electrons at the interface
journal, November 2010
- Shankar, S.; Tyryshkin, A. M.; He, Jianhua
- Physical Review B, Vol. 82, Issue 19
Electrical activation and electron spin coherence of ultralow dose antimony implants in silicon
journal, March 2006
- Schenkel, T.; Liddle, J. A.; Persaud, A.
- Applied Physics Letters, Vol. 88, Issue 11
Intervalley coupling for interface-bound electrons in silicon: An effective mass study
journal, October 2011
- Saraiva, A. L.; Calderón, M. J.; Capaz, Rodrigo B.
- Physical Review B, Vol. 84, Issue 15
Single-Shot Measurement of Triplet-Singlet Relaxation in a Double Quantum Dot
journal, January 2012
- Prance, J. R.; Shi, Zhan; Simmons, C. B.
- Physical Review Letters, Vol. 108, Issue 4
High-fidelity readout and control of a nuclear spin qubit in silicon
journal, April 2013
- Pla, Jarryd J.; Tan, Kuan Y.; Dehollain, Juan P.
- Nature, Vol. 496, Issue 7445
Surface codes: Towards practical large-scale quantum computation
journal, September 2012
- Fowler, Austin G.; Mariantoni, Matteo; Martinis, John M.
- Physical Review A, Vol. 86, Issue 3
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
Hyperfine Stark effect of shallow donors in silicon
journal, November 2014
- Pica, Giuseppe; Wolfowicz, Gary; Urdampilleta, Matias
- Physical Review B, Vol. 90, Issue 19
Atomic clock transitions in silicon-based spin qubits
journal, June 2013
- Wolfowicz, Gary; Tyryshkin, Alexei M.; George, Richard E.
- Nature Nanotechnology, Vol. 8, Issue 8
Electronic Spin Storage in an Electrically Readable Nuclear Spin Memory with a Lifetime >100 Seconds
journal, December 2010
- McCamey, D. R.; Van Tol, J.; Morley, G. W.
- Science, Vol. 330, Issue 6011
Spin Manipulation of Free Two-Dimensional Electrons in Quantum Wells
journal, April 2005
- Tyryshkin, A. M.; Lyon, S. A.; Jantsch, W.
- Physical Review Letters, Vol. 94, Issue 12
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
Charge Coupled Semiconductor Devices
book, March 1991
- Boyle, W. S.; Smith, G. E.
- Semiconductor Devices: Pioneering Papers
Solid state quantum memory using the 31P nuclear spin
text, January 2008
- Morton, John J. L.; Tyryshkin, Alexei M.; Brown, Richard M.
- arXiv
Electron spin coherence and electron nuclear double resonance of Bi donors in natural Si
text, January 2010
- George, Richard E.; Witzel, Wayne; Riemann, H.
- arXiv
Intervalley coupling for interface-bound electrons in silicon: An effective mass study
text, January 2010
- Saraiva, A. L.; Calderón, M. J.; Capaz, Rodrigo B.
- arXiv
Single-shot measurement of triplet-singlet relaxation in a Si/SiGe double quantum dot
text, January 2011
- Prance, J. R.; Shi, Zhan; Simmons, C. B.
- arXiv
Surface code quantum computing by lattice surgery
text, January 2011
- Horsman, Clare; Fowler, Austin G.; Devitt, Simon
- arXiv
Atomic clock transitions in silicon-based spin qubits
text, January 2013
- Wolfowicz, Gary; Tyryshkin, Alexei M.; George, Richard E.
- arXiv
High-fidelity readout and control of a nuclear spin qubit in silicon
text, January 2013
- Pla, Jarryd J.; Tan, Kuan Y.; Dehollain, Juan P.
- arXiv
Optical addressing of an individual erbium ion in silicon
text, January 2013
- Yin, Chunming; Rancic, Milos; de Boo, Gabriele G.
- arXiv
A single-atom electron spin qubit in silicon
text, January 2013
- Pla, Jarryd J.; Tan, Kuan Y.; Dehollain, Juan P.
- arXiv
Storing quantum information for 30 seconds in a nanoelectronic device
text, January 2014
- Muhonen, Juha T.; Dehollain, Juan P.; Laucht, Arne
- arXiv
An addressable quantum dot qubit with fault-tolerant control fidelity
text, January 2014
- Veldhorst, M.; Hwang, J. C. C.; Yang, C. H.
- arXiv
Exchange in silicon-based quantum computer architecture
text, January 2001
- Koiller, Belita; Hu, Xuedong; Sarma, S. Das
- arXiv
Electrical activation and electron spin coherence of ultra low dose antimony implants in silicon
text, January 2005
- Schenkel, T.; Tyryshkin, A. M.; de Sousa, R.
- arXiv
Works referencing / citing this record:
Silicon quantum processor with robust long-distance qubit couplings
journal, September 2017
- Tosi, Guilherme; Mohiyaddin, Fahd A.; Schmitt, Vivien
- Nature Communications, Vol. 8, Issue 1
Coherent coupling between a quantum dot and a donor in silicon
journal, October 2017
- Harvey-Collard, Patrick; Jacobson, N. Tobias; Rudolph, Martin
- Nature Communications, Vol. 8, Issue 1
Silicon CMOS architecture for a spin-based quantum computer
journal, December 2017
- Veldhorst, M.; Eenink, H. G. J.; Yang, C. H.
- Nature Communications, Vol. 8, Issue 1
Interfacing spin qubits in quantum dots and donors—hot, dense, and coherent
journal, September 2017
- Vandersypen, L. M. K.; Bluhm, H.; Clarke, J. S.
- npj Quantum Information, Vol. 3, Issue 1
A silicon quantum-dot-coupled nuclear spin qubit
journal, December 2019
- Hensen, Bas; Wei Huang, Wister; Yang, Chih-Hwan
- Nature Nanotechnology, Vol. 15, Issue 1
Towards visualisation of central-cell-effects in scanning tunnelling microscope images of subsurface dopant qubits in silicon
journal, January 2017
- Usman, Muhammad; Voisin, Benoit; Salfi, Joe
- Nanoscale, Vol. 9, Issue 43
Annealing shallow Si/SiO 2 interface traps in electron-beam irradiated high-mobility metal-oxide-silicon transistors
journal, March 2017
- Kim, J. -S.; Tyryshkin, A. M.; Lyon, S. A.
- Applied Physics Letters, Vol. 110, Issue 12
Influence of uniaxial stress on phonon-assisted relaxation in bismuth-doped silicon
journal, January 2020
- Zhukavin, R. Kh.; Pavlov, S. G.; Stavrias, N.
- Journal of Applied Physics, Vol. 127, Issue 3
Network architecture for a topological quantum computer in silicon
journal, January 2019
- Buonacorsi, Brandon; Cai, Zhenyu; Ramirez, Eduardo B.
- Quantum Science and Technology, Vol. 4, Issue 2
Gate fidelity comparison in semiconducting spin qubit implementations affected by control noises
journal, November 2018
- Ferraro, E.; Fanciulli, M.; De Michielis, M.
- Journal of Physics Communications, Vol. 2, Issue 11
Semiconductor quantum computation
journal, December 2018
- Zhang, Xin; Li, Hai-Ou; Cao, Gang
- National Science Review, Vol. 6, Issue 1
Exploring quantum chaos with a single nuclear spin
journal, October 2018
- Mourik, Vincent; Asaad, Serwan; Firgau, Hannes
- Physical Review E, Vol. 98, Issue 4
Logical Qubit in a Linear Array of Semiconductor Quantum Dots
journal, June 2018
- Jones, Cody; Fogarty, Michael A.; Morello, Andrea
- Physical Review X, Vol. 8, Issue 2
Nondestructive imaging of atomically thin nanostructures buried in silicon
journal, June 2017
- Gramse, Georg; Kölker, Alexander; Lim, Tingbin
- Science Advances, Vol. 3, Issue 6
A Silicon Surface Code Architecture Resilient Against Leakage Errors
journal, December 2019
- Cai, Zhenyu; Fogarty, Michael A.; Schaal, Simon
- Quantum, Vol. 3
Single atom devices by ion implantation
journal, March 2015
- van Donkelaar, Jessica; Yang, C.; Alves, A. D. C.
- Journal of Physics: Condensed Matter, Vol. 27, Issue 15
Nondestructive imaging of atomically thin nanostructures buried in silicon
text, January 2017
- Georg, Gramse,; Alexander, Kölker,; Tingbin, Lim,
- ETH Zurich
Interfacing spin qubits in quantum dots and donors—hot, dense, and coherent
text, January 2017
- Vandersypen, L. M. K.; Bluhm, Jörg Hendrik; Clarke, J. S.
- RWTH Aachen University
Silicon quantum processor with robust long-distance qubit couplings
text, January 2015
- Tosi, Guilherme; Mohiyaddin, Fahd A.; Schmitt, Vivien
- arXiv
Coherent coupling between a quantum dot and a donor in silicon
text, January 2015
- Harvey-Collard, Patrick; Jacobson, N. Tobias; Rudolph, Martin
- arXiv
Interfacing spin qubits in quantum dots and donors - hot, dense and coherent
text, January 2016
- Vandersypen, L. M. K.; Bluhm, H.; Clarke, J. S.
- arXiv
Towards visualisation of central-cell-effects in scanning-tunnelling-microscope images of subsurface dopant qubits in silicon
text, January 2017
- Usman, M.; Voisin, B.; Salfi, J.
- arXiv
Gate fidelity comparison in semiconducting spin qubit implementations affected by control noises
text, January 2018
- Ferraro, E.; Fanciulli, M.; De Michielis, M.
- arXiv
A Silicon Surface Code Architecture Resilient Against Leakage Errors
text, January 2019
- Cai, Zhenyu; Fogarty, Michael A.; Schaal, Simon
- arXiv