Dynamical second-order noise sweetspots in resonantly driven spin qubits
1Instituto de Ciencia de Materiales de Madrid (CSIC) 28049, Madrid, Spain.
2Institute for Theoretical Physics, University of Regensburg, 93040 Regensburg, Germany.
Published: | 2021-12-23, volume 5, page 607 |
Eprint: | arXiv:2107.03986v3 |
Doi: | https://doi.org/10.22331/q-2021-12-23-607 |
Citation: | Quantum 5, 607 (2021). |
Find this paper interesting or want to discuss? Scite or leave a comment on SciRate.
Abstract
Quantum dot-based quantum computation employs extensively the exchange interaction between nearby electronic spins in order to manipulate and couple different qubits. The exchange interaction, however, couples the qubit states to charge noise, which reduces the fidelity of the quantum gates that employ it. The effect of charge noise can be mitigated by working at noise sweetspots in which the sensitivity to charge variations is reduced. In this work we study the response to charge noise of a double quantum dot based qubit in the presence of ac gates, with arbitrary driving amplitudes, applied either to the dot levels or to the tunneling barrier. Tuning with an ac driving allows to manipulate the sign and strength of the exchange interaction as well as its coupling to environmental electric noise. Moreover, we show the possibility of inducing a second-order sweetspot in the resonant spin-triplet qubit in which the dephasing time is significantly increased.

Featured image: (Left) Scheme of the singlet-triplet spin qubit and of the effective time-dependent exchange model. (Right) Dephasing time as a function of the detuning ($\delta_0$) and the amplitude of the ac voltage ($\epsilon_{ac}$), showing a dynamical second-order sweetspot at $\delta_0=0$ and $\epsilon_{ac}\simeq48\mu eV$.
Popular summary
► BibTeX data
► References
[1] D. P. DiVincenzo, D. Bacon, J. Kempe, G. Burkard, and K. B. Whaley, Nature 408, 339 (2000).
https://doi.org/10.1038/35042541
[2] J. Levy, Phys. Rev. Lett. 89, 147902 (2002).
https://doi.org/10.1103/PhysRevLett.89.147902
[3] R. Li, X. Hu, and J. Q. You, Phys. Rev. B 86, 205306 (2012).
https://doi.org/10.1103/PhysRevB.86.205306
[4] M. P. Wardrop and A. C. Doherty, Phys. Rev. B 90, 045418 (2014).
https://doi.org/10.1103/PhysRevB.90.045418
[5] M. Stopa, Phys. B: Condens. Matt. 249-251, 228 (1998).
https://doi.org/10.1016/s0921-4526(98)00104-5
[6] X. Hu and S. Das Sarma, Phys. Rev. Lett. 96, 100501 (2006).
https://doi.org/10.1103/PhysRevLett.96.100501
[7] T. Hayashi, T. Fujisawa, H. D. Cheong, Y. H. Jeong, and Y. Hirayama, Phys. Rev. Lett. 91, 226804 (2003).
https://doi.org/10.1103/PhysRevLett.91.226804
[8] D. Culcer and N. M. Zimmerman, Appl. Phys. Lett. 102, 232108 (2013).
https://doi.org/10.1063/1.4810911
[9] I. V. Yurkevich, J. Baldwin, I. V. Lerner, and B. L. Altshuler, Phys. Rev. B 81, 121305 (2010).
https://doi.org/10.1103/PhysRevB.81.121305
[10] O. E. Dial, M. D. Shulman, S. P. Harvey, H. Bluhm, V. Umansky, and A. Yacoby, Phys. Rev. Lett. 110, 146804 (2013).
https://doi.org/10.1103/PhysRevLett.110.146804
[11] Z. Qi, X. Wu, D. R. Ward, J. R. Prance, D. Kim, J. K. Gamble, R. T. Mohr, Z. Shi, D. E. Savage, M. G. Lagally, M. A. Eriksson, M. Friesen, S. N. Coppersmith, and M. G. Vavilov, Phys. Rev. B 96, 115305 (2017).
https://doi.org/10.1103/PhysRevB.96.115305
[12] J. Schliemann, D. Loss, and A. H. MacDonald, Phys. Rev. B 63, 085311 (2001).
https://doi.org/10.1103/PhysRevB.63.085311
[13] S. D. Barrett and C. H. W. Barnes, Phys. Rev. B 66, 125318 (2002).
https://doi.org/10.1103/PhysRevB.66.125318
[14] P. Rebentrost and F. K. Wilhelm, Phys. Rev. B 79, 060507 (2009).
https://doi.org/10.1103/PhysRevB.79.060507
[15] T. Chasseur and F. K. Wilhelm, Phys. Rev. A 92, 042333 (2015).
https://doi.org/10.1103/PhysRevA.92.042333
[16] S. Mehl, H. Bluhm, and D. P. DiVincenzo, Phys. Rev. B 91, 085419 (2015).
https://doi.org/10.1103/PhysRevB.91.085419
[17] J. M. Nichol, L. A. Orona, S. P. Harvey, S. Fallahi, G. C. Gardner, M. J. Manfra, and A. Yacoby, npj Quantum Inf. 3, 3 (2017).
https://doi.org/10.1038/s41534-016-0003-1
[18] W. Huang, C. H. Yang, K. W. Chan, T. Tanttu, B. Hensen, R. C. C. Leon, M. A. Fogarty, J. C. C. Hwang, F. E. Hudson, K. M. Itoh, A. Morello, A. Laucht, and A. S. Dzurak, Nature 569, 532 (2019).
https://doi.org/10.1038/s41586-019-1197-0
[19] C. Kloeffel and D. Loss, Ann. Rev. Condens. Matt. Phys. 4, 51 (2013), https://doi.org/10.1146/annurev-conmatphys-030212-184248.
https://doi.org/10.1146/annurev-conmatphys-030212-184248
arXiv:https://doi.org/10.1146/annurev-conmatphys-030212-184248
[20] Y.-P. Shim and C. Tahan, Phys. Rev. B 93, 121410 (2016).
https://doi.org/10.1103/PhysRevB.93.121410
[21] M. Russ and G. Burkard, J. Phys.: Condens. Matt. 29, 393001 (2017).
https://doi.org/10.1088/1361-648x/aa761f
[22] A. Sala and J. Danon, Phys. Rev. B 95, 241303 (2017).
https://doi.org/10.1103/PhysRevB.95.241303
[23] A. Pan, T. E. Keating, M. F. Gyure, E. J. Pritchett, S. Quinn, R. S. Ross, T. D. Ladd, and J. Kerckhoff, Quantum Sci. Technol. 5, 034005 (2020).
https://doi.org/10.1088/2058-9565/ab86c9
[24] A. Sala, J. H. Qvist, and J. Danon, Phys. Rev. Research 2, 012062 (2020).
https://doi.org/10.1103/PhysRevResearch.2.012062
[25] A. Gómez-León and G. Platero, Phys. Rev. Research 2, 033412 (2020).
https://doi.org/10.1103/PhysRevResearch.2.033412
[26] H. Qiao, Y. P. Kandel, J. S. V. Dyke, S. Fallahi, G. C. Gardner, M. J. Manfra, E. Barnes, and J. M. Nichol, Nat. Commun. 12, 2142 (2021).
https://doi.org/10.1038/s41467-021-22415-6
[27] M. Benito, A. Gómez-León, V. M. Bastidas, T. Brandes, and G. Platero, Phys. Rev. B 90, 205127 (2014).
https://doi.org/10.1103/PhysRevB.90.205127
[28] A. Eckardt and E. Anisimovas, New J. Phys. 17, 093039 (2015).
https://doi.org/10.1088/1367-2630/17/9/093039
[29] T. Oka and S. Kitamura, Ann. Rev. Condens. Matt. Phys. 10, 387 (2019).
https://doi.org/10.1146/annurev-conmatphys-031218-013423
[30] B. Pérez-González, M. Bello, G. Platero, and A. Gómez-León, Phys. Rev. Lett. 123, 126401 (2019).
https://doi.org/10.1103/PhysRevLett.123.126401
[31] G. Platero and R. Aguado, Phys. Rep. 395, 1 (2004).
https://doi.org/10.1016/j.physrep.2004.01.004
[32] F. Gallego-Marcos, R. Sánchez, and G. Platero, J. Appl. Phys. 117, 112808 (2015).
https://doi.org/10.1063/1.4913834
[33] R. Sánchez, F. Gallego-Marcos, and G. Platero, Phys. Rev. B 89, 161402 (2014).
https://doi.org/10.1103/PhysRevB.89.161402
[34] P. Stano, J. Klinovaja, F. R. Braakman, L. M. K. Vandersypen, and D. Loss, Phys. Rev. B 92, 075302 (2015).
https://doi.org/10.1103/PhysRevB.92.075302
[35] D. Klauser, W. A. Coish, and D. Loss, Phys. Rev. B 73, 205302 (2006).
https://doi.org/10.1103/PhysRevB.73.205302
[36] D. Kim, D. R. Ward, C. B. Simmons, J. K. Gamble, R. Blume-Kohout, E. Nielsen, D. E. Savage, M. G. Lagally, M. Friesen, S. N. Coppersmith, and M. A. Eriksson, Nat. Nanotechnol. 10, 243 (2015).
https://doi.org/10.1038/nnano.2014.336
[37] Y. Song, J. P. Kestner, X. Wang, and S. Das Sarma, Phys. Rev. A 94, 012321 (2016).
https://doi.org/10.1103/PhysRevA.94.012321
[38] D. M. Zajac, T. M. Hazard, X. Mi, E. Nielsen, and J. R. Petta, Phys. Rev. Applied 6, 054013 (2016).
https://doi.org/10.1103/PhysRevApplied.6.054013
[39] M. D. Shulman, S. P. Harvey, J. M. Nichol, S. D. Bartlett, A. C. Doherty, V. Umansky, and A. Yacoby, Nat. Commun. 5, 5156 (2014).
https://doi.org/10.1038/ncomms6156
[40] K. Takeda, A. Noiri, J. Yoneda, T. Nakajima, and S. Tarucha, Phys. Rev. Lett. 124, 117701 (2020).
https://doi.org/10.1103/PhysRevLett.124.117701
[41] A. C. Doherty and M. P. Wardrop, Phys. Rev. Lett. 111, 050503 (2013).
https://doi.org/10.1103/PhysRevLett.111.050503
[42] J. M. Taylor, V. Srinivasa, and J. Medford, Phys. Rev. Lett. 111, 050502 (2013).
https://doi.org/10.1103/PhysRevLett.111.050502
[43] M. Russ and G. Burkard, Phys. Rev. B 91, 235411 (2015).
https://doi.org/10.1103/PhysRevB.91.235411
[44] D. M. Zajac, A. J. Sigillito, M. Russ, F. Borjans, J. M. Taylor, G. Burkard, and J. R. Petta, Science 359, 439 (2017).
https://doi.org/10.1126/science.aao5965
[45] M. Russ, D. M. Zajac, A. J. Sigillito, F. Borjans, J. M. Taylor, J. R. Petta, and G. Burkard, Phys. Rev. B 97, 085421 (2018).
https://doi.org/10.1103/PhysRevB.97.085421
[46] J. Jing, P. Huang, and X. Hu, Phys. Rev. A 90, 10.1103/physreva.90.022118 (2014).
https://doi.org/10.1103/physreva.90.022118
[47] Y.-C. Yang, S. N. Coppersmith, and M. Friesen, Phys. Rev. A 95, 062321 (2017).
https://doi.org/10.1103/PhysRevA.95.062321
[48] A. Frees, S. Mehl, J. K. Gamble, M. Friesen, and S. N. Coppersmith, npj Quantum Inf. 5, 73 (2019).
https://doi.org/10.1038/s41534-019-0190-7
[49] P. S. Mundada, A. Gyenis, Z. Huang, J. Koch, and A. A. Houck, Phys. Rev. Appl. 14, 054033 (2020).
https://doi.org/10.1103/physrevapplied.14.054033
[50] Z. Huang, P. S. Mundada, A. Gyenis, D. I. Schuster, A. A. Houck, and J. Koch, Phys. Rev. Appl. 15, 034065 (2021).
https://doi.org/10.1103/physrevapplied.15.034065
[51] Y. Makhlin and A. Shnirman, Phys. Rev. Lett. 92, 178301 (2004).
https://doi.org/10.1103/PhysRevLett.92.178301
[52] J. Fei, J.-T. Hung, T. S. Koh, Y.-P. Shim, S. N. Coppersmith, X. Hu, and M. Friesen, Phys. Rev. B 91, 205434 (2015).
https://doi.org/10.1103/PhysRevB.91.205434
[53] J. Picó-Cortés, F. Gallego-Marcos, and G. Platero, Phys. Rev. B 99, 155421 (2019).
https://doi.org/10.1103/PhysRevB.99.155421
[54] A. M. Tyryshkin, S. Tojo, J. J. L. Morton, H. Riemann, N. V. Abrosimov, P. Becker, H.-J. Pohl, T. Schenkel, M. L. W. Thewalt, K. M. Itoh, and S. A. Lyon, Nat. Mater. 11, 143 (2011).
https://doi.org/10.1038/nmat3182
[55] M. Veldhorst, J. C. C. Hwang, C. H. Yang, A. W. Leenstra, B. de Ronde, J. P. Dehollain, J. T. Muhonen, F. E. Hudson, K. M. Itoh, A. Morello, and A. S. Dzurak, Nat. Nanotechnol. 9, 981 (2014).
https://doi.org/10.1038/nnano.2014.216
[56] J. Truong and X. Hu, Decoherence of coupled flip-flop qubits due to charge noise (2021), arXiv:2104.07485.
arXiv:arXiv:2104.07485
[57] C. Zhang, X.-C. Yang, and X. Wang, Phys. Rev. A 97, 042326 (2018).
https://doi.org/10.1103/PhysRevA.97.042326
[58] H. Bluhm, S. Foletti, I. Neder, M. Rudner, D. Mahalu, V. Umansky, and A. Yacoby, Nat. Phys. 7, 109 (2010).
https://doi.org/10.1038/nphys1856
[59] G. de Lange, Z. H. Wang, D. Riste, V. V. Dobrovitski, and R. Hanson, Science 330, 60 (2010).
https://doi.org/10.1126/science.1192739
[60] D. Culcer, L. Cywiński, Q. Li, X. Hu, and S. Das Sarma, Phys. Rev. B 80, 205302 (2009).
https://doi.org/10.1103/PhysRevB.80.205302
[61] Q. Li, L. Cywiński, D. Culcer, X. Hu, and S. Das Sarma, Phys. Rev. B 81, 085313 (2010).
https://doi.org/10.1103/PhysRevB.81.085313
[62] S. Goswami, K. A. Slinker, M. Friesen, L. M. McGuire, J. L. Truitt, C. Tahan, L. J. Klein, J. O. Chu, P. M. Mooney, D. W. van der Weide, R. Joynt, S. N. Coppersmith, and M. A. Eriksson, Nat. Phys. 3, 41 (2006).
https://doi.org/10.1038/nphys475
[63] C. H. Yang, A. Rossi, R. Ruskov, N. S. Lai, F. A. Mohiyaddin, S. Lee, C. Tahan, G. Klimeck, A. Morello, and A. S. Dzurak, Nat. Commun. 4, 2069 (2013).
https://doi.org/10.1038/ncomms3069
[64] C. Deng, J.-L. Orgiazzi, F. Shen, S. Ashhab, and A. Lupascu, Phys. Rev. Lett. 115, 133601 (2015).
https://doi.org/10.1103/PhysRevLett.115.133601
[65] A. Gandon, C. L. Calonnec, R. Shillito, A. Petrescu, and A. Blais, Engineering, control and longitudinal readout of floquet qubits (2021), arXiv:2108.11260 [quant-ph].
arXiv:2108.11260
[66] F. Martins, F. K. Malinowski, P. D. Nissen, E. Barnes, S. Fallahi, G. C. Gardner, M. J. Manfra, C. M. Marcus, and F. Kuemmeth, Phys. Rev. Lett. 116, 116801 (2016).
https://doi.org/10.1103/PhysRevLett.116.116801
[67] G. Burkard, Phys. Rev. B 79, 125317 (2009).
https://doi.org/10.1103/PhysRevB.79.125317
[68] M. M. Ali, P.-Y. Lo, and W.-M. Zhang, New J. Phys. 16, 103010 (2014).
https://doi.org/10.1088/1367-2630/16/10/103010
[69] M. Russ, F. Ginzel, and G. Burkard, Phys. Rev. B 94, 165411 (2016).
https://doi.org/10.1103/PhysRevB.94.165411
[70] G. Ithier, E. Collin, P. Joyez, P. J. Meeson, D. Vion, D. Esteve, F. Chiarello, A. Shnirman, Y. Makhlin, J. Schriefl, and G. Schön, Phys. Rev. B 72, 134519 (2005).
https://doi.org/10.1103/PhysRevB.72.134519
[71] J. M. Taylor and M. D. Lukin, Quantum Inf. Process. 5, 503 (2006).
https://doi.org/10.1007/s11128-006-0036-z
[72] J. C. Abadillo-Uriel, M. A. Eriksson, S. N. Coppersmith, and M. Friesen, Nat. Commun. 10, 10.1038/s41467-019-13548-w (2019).
https://doi.org/10.1038/s41467-019-13548-w
[73] K. D. Petersson, J. R. Petta, H. Lu, and A. C. Gossard, Phys. Rev. Lett. 105, 246804 (2010).
https://doi.org/10.1103/PhysRevLett.105.246804
[74] Y. Goldin and Y. Avishai, Phys. Rev. B 61, 16750 (2000).
https://doi.org/10.1103/PhysRevB.61.16750
Cited by
[1] D. Fernández-Fernández, Yue Ban, and G. Platero, "Quantum Control of Hole Spin Qubits in Double Quantum Dots", Physical Review Applied 18 5, 054090 (2022).
[2] Ziwen Huang, Xinyuan You, Ugur Alyanak, Alexander Romanenko, Anna Grassellino, and Shaojiang Zhu, "High-Order Qubit Dephasing at Sweet Spots by Non-Gaussian Fluctuators: Symmetry Breaking and Floquet Protection", Physical Review Applied 18 6, L061001 (2022).
[3] David Fernández-Fernández, Jordi Picó-Cortés, Sergio Vela Liñán, and Gloria Platero, "Photo-assisted spin transport in double quantum dots with spin–orbit interaction", Journal of Physics: Materials 6 3, 034004 (2023).
The above citations are from Crossref's cited-by service (last updated successfully 2023-06-05 18:27:19) and SAO/NASA ADS (last updated successfully 2023-06-05 18:27:19). The list may be incomplete as not all publishers provide suitable and complete citation data.
This Paper is published in Quantum under the Creative Commons Attribution 4.0 International (CC BY 4.0) license. Copyright remains with the original copyright holders such as the authors or their institutions.