Abstract
Silicon is a leading qubit platform thanks to the exceptional coherence times that can be achieved and to the available commercial manufacturing platform for integration. Building scalable quantum processing architectures relies on accurate quantum state manipulation, which can only be achieved through a complete understanding of the underlying quantum state properties. This article reviews the electrical methods that have been developed to probe the quantum states encoded in individual and interacting atom qubits in silicon, from the pioneering single electron-tunneling spectroscopy framework in nanoscale transistors, to radio frequency reflectometry to probe coherence properties and scanning tunneling microscopy to directly image the wave function at the atomic scale. Together with the development of atomistic simulations of realistic devices, these methods are today applied to other emerging dopant and optically addressable defect states to accelerate the engineering of quantum technologies in silicon.
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References
R.P. Feynman, Int. J. Theor. Phys. 21(6), 467 (1982)
J.I. Cirac, P. Zoller, Phys. Rev. Lett. 74(20), 4091 (1995)
A. Blais, R.S. Huang, A. Wallraff, S.M. Girvin, R.J. Schoelkopf, Phys. Rev. A 69(6), 062320 (2004)
D. Loss, D.P. DiVincenzo, Phys. Rev. A 57(1), 120 (1998)
B.E. Kane, Nature 393(6681), 133 (1998)
D.P. DiVincenzo, Fortschr. Phys. 48(9), 771 (2000)
T.F. Watson, S.G.J. Philips, E. Kawakami, D.R. Ward, P. Scarlino, M. Veldhorst, D.E. Savage, M.G. Lagally, M. Friesen, S.N. Coppersmith, M.A. Eriksson, L.M.K. Vandersypen, Nature 555(7698), 633 (2018)
M. Veldhorst, C.H. Yang, J.C.C. Hwang, W. Huang, J.P. Dehollain, J.T. Muhonen, S. Simmons, A. Laucht, F.E. Hudson, K.M. Itoh, A. Morello, A.S. Dzurak, Nature 526(7573), 410 (2015)
J.T. Muhonen, J.P. Dehollain, A. Laucht, F.E. Hudson, R. Kalra, T. Sekiguchi, K.M. Itoh, D.N. Jamieson, J.C. McCallum, A.S. Dzurak, A. Morello, Nat. Nanotechnol. 9(12), 986 (2014)
Y. He, S.K. Gorman, D. Keith, L. Kranz, J.G. Keizer, M.Y. Simmons, Nature 571(7765), 371 (2019)
M.W. Dellow, P.H. Beton, C.J.G.M. Langerak, T.J. Foster, P.C. Main, L. Eaves, M. Henini, S.P. Beaumont, C.D.W. Wilkinson, Phys. Rev. Lett. 68(11), 1754 (1992)
A. Asenov, A.R. Brown, J.H. Davies, S. Kaya, G. Slavcheva, IEEE Trans. Electron Devices 50(9), 1837 (2003)
H. Sellier, G. Lansbergen, J. Caro, S. Rogge, N. Collaert, I. Ferain, M. Jurczak, S. Biesemans, Phys. Rev. Lett. 97(20), 206805 (2006)
M.A.H. Khalafalla, Y. Ono, K. Nishiguchi, A. Fujiwara, Appl. Phys. Lett. 91(26), 3513 (2007)
M. Pierre, R. Wacquez, X. Jehl, M. Sanquer, M. Vinet, O. Cueto, Nat. Nanotechnol. 5(2), 133 (2009)
K.Y. Tan, K.W. Chan, M. Möttönen, A. Morello, C. Yang, J.V. Donkelaar, A. Alves, J.M. Pirkkalainen, D.N. Jamieson, R.G. Clark, A.S. Dzurak, Nano Lett. 10(1), 11 (2010)
A.G. Fowler, M. Mariantoni, J.M. Martinis, A.N. Cleland, Phys. Rev. A 86, 032324 (2012)
C.D. Hill, E. Peretz, S.J. Hile, M.G. House, M. Fuechsle, S. Rogge, M.Y.S. Simmons, L.C.L. Hollenberg Sci. Adv. 1(9), 1500707 (2015)
B. Koiller, X. Hu, S.D. Sarma, Phys. Rev. Lett. 88(2), 027903 (2001)
G. Lansbergen, R. Rahman, C. Wellard, I. Woo, J. Caro, N. Collaert, S. Biesemans, G. Klimeck, L. Hollenberg, S. Rogge, Nat. Phys. 4(8), 656 (2008)
J. Salfi, J.A. Mol, R. Rahman, G. Klimeck, M.Y. Simmons, L.C.L. Hollenberg, S. Rogge, Nat. Mater. 13(6), 605 (2014)
R. Hanson, L.P. Kouwenhoven, J.R. Petta, S. Tarucha, L.M.K. Vandersypen, Rev. Mod. Phys. 79, 1217 (2007)
B. Roche, E. Dupont-Ferrier, B. Voisin, M. Cobian, X. Jehl, R. Wacquez, M. Vinet, Y.M. Niquet, M. Sanquer, Phys. Rev. Lett. 108(20), 206812 (2012)
J.C. Slater, G.F. Koster, Phys. Rev. 94, 1498 (1954)
G. Klimeck, S. Ahmed, H. Bae, N. Kharche, S. Clark, B. Haley, S. Lee, M. Naumov, H. Ryu, F. Saied, M. Prada, M. Korkusinski, T. Boykin, R. Rahman, IEEE Trans. Electron Devices 54(9), 2079 (2007)
S. Ahmed, N. Kharche, R. Rahman, M. Usman, S. Lee, H. Ryu, H. Bae, S. Clark, B. Haley, M. Naumov, F. Saied, M. Korkusinski, R. Kennel, M. McLennan, T.B. Boykin, G. Klimeck, Springer Encyclopedia for Complexity and Systems Science (Springer, Dordrecht, The Netherlands, 2009)
R. Rahman, S.H. Park, T.B. Boykin, G. Klimeck, S. Rogge, L.C.L. Hollenberg, Phys. Rev. B 80, 155301 (2009)
Y.L. Hsueh, H. Büch, Y. Tan, Y. Wang, L.C.L. Hollenberg, G. Klimeck, M.Y. Simmons, R. Rahman, Phys. Rev. Lett. 113, 246406 (2014)
J.K. Gamble, N.T. Jacobson, E. Nielsen, A.D. Baczewski, J.E. Moussa, I. Montaño, R.P. Muller, Phys. Rev. B 91, 235318 (2015)
M.W. Swift, H. Peelaers, S. Mu, J.J.L. Morton, C.G. Van de Walle, npj Comput. Mater. 6(1), 181 (2020)
R. Rahman, G.P. Lansbergen, S.H. Park, J. Verduijn, G. Klimeck, S. Rogge, L.C.L. Hollenberg, Phys. Rev. B 80(16), 165314 (2009)
Y. Wang, A. Tankasala, L.C.L. Hollenberg, G. Klimeck, M.Y. Simmons, R. Rahman, npj Quantum Inf. 2(1), 16008 (2016)
B. Voisin, J. Bocquel, A. Tankasala, M. Usman, J. Salfi, R. Rahman, M.Y. Simmons, L.C.L. Hollenberg, S. Rogge, Nat. Commun. 11(1), 6124 (2020)
J. van der Heijden, T. Kobayashi, M.G. House, J. Salfi, S. Barraud, R. Lavieville, M.Y. Simmons, S. Rogge, Sci. Adv. 4(12), 9199 (2018)
J. Verduijn, G.C. Tettamanzi, S. Rogge, Nano Lett. 13(4), 1476 (2013)
R.J. Schoelkopf, P. Wahlgren, A.A. Kozhevnikov, P. Delsing, D.E. Prober, Science 280(5367), 1238 (1998)
J. Verduijn, M. Vinet, S. Rogge, Appl. Phys. Lett. 104(10), 102107 (2014)
E. Dupont-Ferrier, B. Roche, B. Voisin, X. Jehl, R. Wacquez, M. Vinet, M. Sanquer, S. De Franceschi, Phys. Rev. Lett. 110(13), 136802 (2013)
M. Fuechsle, J.A. Miwa, S. Mahapatra, H. Ryu, S. Lee, O. Warschkow, L.C.L. Hollenberg, G. Klimeck, M.Y. Simmons, Nat. Nanotechnol. 7(4), 242 (2012)
B. Weber, Y.H.M. Tan, S. Mahapatra, T.F. Watson, H. Ryu, R. Rahman, L.C.L. Hollenberg, G. Klimeck, M.Y. Simmons, Nat. Nanotechnol. 9(6), 430 (2014)
P.M. Koenraad, M.E. Flatté, Nat. Mater. 10(2), 91 (2011)
R.M. Feenstra, E.T. Yu, J.M. Woodall, P.D. Kirchner, C.L. Lin, G.D. Pettit, Appl. Phys. Lett. 61(7), 795 (1992)
A. Yakunin, A. Silov, P. Koenraad, J. Wolter, W.V. Roy, J.D. Boeck, J.M. Tang, M. Flatté, Phys. Rev. Lett. 92(21), 216806 (2004)
J.L. Pitters, P.G. Piva, R.A. Wolkow, J. Vac. Sci. Technol. B 30(2), 021806 (2012)
K. Sinthiptharakoon, S.R. Schofield, P. Studer, V. Brazdova, C.F. Hirjibehedin, D.R. Bowler, N.J. Curson, J. Phys. Condens. Matter 26(1), 012001 (2014)
J.A. Mol, J. Salfi, R. Rahman, Y. Hsueh, J.A. Miwa, G. Klimeck, M.Y. Simmons, S. Rogge, Appl. Phys. Lett. 106(20), 203110 (2015)
J. Salfi, J.A. Mol, R. Rahman, G. Klimeck, M.Y. Simmons, L.C.L. Hollenberg, S. Rogge, Nat. Commun. 7(1), 11342 (2016)
S.R. Schofield, N.J. Curson, M.Y. Simmons, F.J. Rueß, T. Hallam, L. Oberbeck, R.G. Clark, Phys. Rev. Lett. 91(13), 136104 (2003)
K.S.H. Ng, B. Voisin, B.C. Johnson, J.C. McCallum, J. Salfi, S. Rogge, ACS Nano 14(8), 9449 (2020)
A.L. Saraiva, J. Salfi, J. Bocquel, B. Voisin, S. Rogge, R.B. Capaz, M.J. Calderón, B. Koiller, Phys. Rev. B 93(4), 045303 (2016)
M. Usman, J. Bocquel, J. Salfi, B. Voisin, A. Tankasala, R. Rahman, M.Y. Simmons, S. Rogge, L.C.L. Hollenberg, Nat. Nanotechnol. 11, 763 (2016)
V. Brazdova, D.R. Bowler, K. Sinthiptharakoon, P. Studer, A. Rahnejat, N.J. Curson, S.R. Schofield, A.J. Fisher, Phys. Rev. B 95(7), 075408 (2017)
I.M. Georgescu, S. Ashhab, F. Nori, Rev. Mod. Phys. 86(1), 153 (2014)
C. Wellard, L. Hollenberg, Phys. Rev. B 72(8), 085202 (2005)
M.T. Madzik, A. Laucht, F.E. Hudson, A.M. Jakob, B.C. Johnson, D.N. Jamieson, K.M. Itoh, A.S. Dzurak, A. Morello, Nat. Commun. 12(1), 181 (2021)
T. Kobayashi, J. Salfi, C. Chua, J. van der Heijden, M.G. House, D. Culcer, W.D. Hutchison, B.C. Johnson, J.C. McCallum, H. Riemann, N.V. Abrosimov, P. Becker, H.J. Pohl, M.Y. Simmons, S. Rogge, Nat. Mater. 20(1), 38 (2020)
S. Asaad, V. Mourik, B. Joecker, M.A.I. Johnson, A.D. Baczewski, H.R. Firgau, M.T. Madzik, V. Schmitt, J.J. Pla, F.E. Hudson, K.M. Itoh, J.C. McCallum, A.S. Dzurak, A. Laucht, A. Morello, Nature 579(7798), 205 (2020)
C. Yin, M. Rancic, G.G. de Boo, N. Stavrias, J.C. McCallum, M.J. Sellars, S. Rogge, Nature 497(7447), 91 (2013)
L. Bergeron, C. Chartrand, A.T.K. Kurkjian, K.J. Morse, H. Riemann, N.V. Abrosimov, P. Becker, H.J. Pohl, M.L.W. Thewalt, S. Simmons, PRX Quant. 1(2), 020301 (2020)
B.A. Bernevig, S.C. Zhang, Phys. Rev. B 71(3), 035303 (2005)
K.D. Petersson, L.W. McFaul, M.D. Schroer, M. Jung, J.M. Taylor, A.A. Houck, J.R. Petta, Nature 490, 7420 (2012)
J. Salfi, J.A. Mol, D. Culcer, S. Rogge, Phys. Rev. Lett. 116(24), 246801 (2016)
V. Mourik, S. Asaad, H. Firgau, J.J. Pla, C. Holmes, G.J. Milburn, J.C. McCallum, A. Morello, Phys. Rev. E 98(4), 042206 (2018)
L.M. Sieberer, T. Olsacher, A. Elben, M. Heyl, P. Hauke, F. Haake, P. Zoller, npj Quantum Inf. 5(1), 1 (2019)
G. Kurizki, P. Bertet, Y. Kubo, K. Mølmer, D. Petrosyan, P. Rabl, J. Schmiedmayer, Proc. Natl. Acad. Sci. USA 112(13), 3866 (2015)
R. Ruskov, C. Tahan, Phys. Rev. B 88(6), 064308 (2013)
J.A. Mol, J. Salfi, J.A. Miwa, M.Y. Simmons, S. Rogge, Phys. Rev. B 87(24), 245417 (2013)
M. Zhong, M.P. Hedges, R.L. Ahlefeldt, J.G. Bartholomew, S.E. Beavan, S.M. Wittig, J.J. Longdell, M.J. Sellars, Nature 517(7533), 177 (2015)
L. Weiss, A. Gritsch, B. Merkel, A. Reiserer (2020). http://arxiv.org/abs/2005.01775
Acknowledgments
This article is dedicated to M. Sanquer. We acknowledge support from the ARC Centre of Excellence for Quantum Computation and Communication Technology (Grant No. CE170100012), Silicon Quantum Computing Pty. Ltd., and from the US Army Research Office (Grant No. W911NF-17-1-0202). J.S. acknowledges support from the National Science and Engineering Research Council of Canada.
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Voisin, B., Salfi, J., Rahman, R. et al. Novel characterization of dopant-based qubits. MRS Bulletin 46, 616–622 (2021). https://doi.org/10.1557/s43577-021-00136-x
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DOI: https://doi.org/10.1557/s43577-021-00136-x