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Hui Zhou(周辉), Xiaoli Dai(代晓莉), Jianpei Geng(耿建培), Yunlan Ji(季云兰), and Xinhua Peng(彭新华). 2024: Approximate constructions of counterdiabatic driving with NMR quantum systems, Chinese Physics B, 33(9): 090301. doi: 10.1088/1674-1056/ad58b2
Citation: Hui Zhou(周辉), Xiaoli Dai(代晓莉), Jianpei Geng(耿建培), Yunlan Ji(季云兰), and Xinhua Peng(彭新华). 2024: Approximate constructions of counterdiabatic driving with NMR quantum systems, Chinese Physics B, 33(9): 090301. doi: 10.1088/1674-1056/ad58b2
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Approximate constructions of counterdiabatic driving with NMR quantum systems

  • 1 School of Physics, Hefei University of Technology, Hefei 230009, China;

  • 2 Chinese Academy of Sciences Key Laboratory of Microscale Magnetic Resonance and School of Physical Sciences, University of Science and Technology of China, Hefei 230026, China;

  • 3 Chinese Academy of Sciences Center for Excellence in Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230026, China;

  • 4 Hefei National Laboratory, University of Science and Technology of China, Hefei 230088, China

  • Received Date: 30/04/2024
    Accepted Date: 13/06/2024
  • Fund Project:

    Project supported by the Innovation Program for Quantum Science and Technology (Grant No. 2021ZD0303205), the National Natural Science Foundation of China (Grant Nos. 12104282 and 12305014), the Initiative in Quantum Information Technologies of Anhui Province (Grant No. AHY050000), and the Fundamental Research Funds for the Central Universities (Grant Nos. JZ2024HGTB0253 and JZ2023HGTA0172).

  • Counterdiabatic driving (CD) offers a fast and robust route to manipulate quantum systems, which has widespread applications in quantum technologies. However, for higher-dimensional complex systems, the exact CD term involving the spectral properties of the system is difficult to calculate and generally takes a complicated form, impeding its experimental realization. Recently, many approximate methods have been proposed for designing CD passages in many-body systems. In this topical review, we focus on the CD formalism and briefly introduce several experimental constructions and applications of approximate CD driving in spin-chain models with nuclear magnetic resonance (NMR) systems.
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  • Bharti K, Cervera-Lierta A, Kyaw T H, Haug T, Alperin-Lea S, Anand A, Degroote M, Heimonen H, Kottmann J S, Menke T, Mok W K, Sim S, Kwek L C and Aspuru-Guzik A 2022 Rev. Mod. Phys. 94 015004

    Google Scholar Pub Med

    Portmann C and Renner R 2022 Rev. Mod. Phys. 94 025008

    Google Scholar Pub Med

    Degen C L, Reinhard F and Cappellaro P 2017 Rev. Mod. Phys. 89 035002

    Google Scholar Pub Med

    Suter D and ´Alvarez G A 2016 Rev. Mod. Phys. 88 041001

    Google Scholar Pub Med

    Koch C P, Boscain U, Calarco T, Dirr G, Filipp S, Glaser S J, Kosloff R, Montangero S, Schulte-Herbrüggen T, Sugny D and Wilhelm F K 2022 Eur. Phys. J. Quantum Technol. 9 19

    Google Scholar Pub Med

    Farhi E, Goldstone J, Gutmann S, Lapan J, Lundgren A and Preda D 2001 Science 292 472

    Google Scholar Pub Med

    Král P, Thanopulos I and Shapiro M 2007 Rev. Mod. Phys. 79 53

    Google Scholar Pub Med

    Peng X, Liao Z, Xu N, Qin G, Zhou X, Suter D and Du J 2008 Phys. Rev. Lett. 101 220405

    Google Scholar Pub Med

    Xu N, Zhu J, Lu D, Zhou X, Peng X and Du J 2012 Phys. Rev. Lett. 108 130501

    Google Scholar Pub Med

    Cirac J I and Zoller P 2012 Nat. Phys. 8 264

    Google Scholar Pub Med

    Albash T and Lidar D A 2018 Rev. Mod. Phys. 90 015002

    Google Scholar Pub Med

    Born M and Fock V 1928 Z. Phys. 51 165

    Google Scholar Pub Med

    Kato T 1950 J. Phys. Soc. Jpn. 5 435

    Google Scholar Pub Med

    Demirplak M and Rice S A 2003 J. Phys. Chem. A 107 9937

    Google Scholar Pub Med

    Demirplak M and Rice S A 2005 J. Phys. Chem. B 109 6838

    Google Scholar Pub Med

    Berry M V 2009 J. Phys. A 42 365303

    Google Scholar Pub Med

    Chen X, Ruschhaupt A, Schmidt S, del Campo A, Guéry-Odelin D and Muga J G 2010 Phys. Rev. Lett. 104 063002

    Google Scholar Pub Med

    Masuda S and Nakamura K 2010 Proc. R. Soc. A 466 1135

    Google Scholar Pub Med

    Zhang J, Shim J H, Niemeyer I, Taniguchi T, Teraji T, Abe H, Onoda S, Yamamoto T, Ohshima T, Isoya J and Suter D 2013 Phys. Rev. Lett. 110 240501

    Google Scholar Pub Med

    Yan T, Liu B J, Xu K, Song C, Liu S, Zhang Z, Deng H, Yan Z, Rong H, Huang K, Yung M H, Chen Y and Yu D 2019 Phys. Rev. Lett. 122 080501

    Google Scholar Pub Med

    Du Y X, Liang Z T, Li Y C, Yue X X, Lv Q X, Huang W, Chen X, Yan H and Zhu S L 2016 Nat. Commun. 7 12479

    Google Scholar Pub Med

    An S, Lv D, del Campo A and Kim K 2016 Nat. Commun. 7 12999

    Google Scholar Pub Med

    Okuyama M and Takahashi K 2016 Phys. Rev. Lett. 117 070401

    Google Scholar Pub Med

    Baksic A, Ribeiro H and Clerk A A 2016 Phys. Rev. Lett. 116 230503

    Google Scholar Pub Med

    Campbell S and Deffner S 2017 Phys. Rev. Lett. 118 100601

    Google Scholar Pub Med

    Funo K, Zhang J N, Chatou C, Kim K, Ueda M and del Campo A 2017 Phys. Rev. Lett. 118 100602

    Google Scholar Pub Med

    Kleissler F, Lazariev A and Arroyo-Camejo S 2018 npj Quantum. Inf. 4 49

    Google Scholar Pub Med

    Vepsäläinen A, Danilin S and Paraoanu G S 2019 Sci. Adv. 5 eaau5999

    Google Scholar Pub Med

    Zhou B B, Baksic A, Ribeiro H, Yale C G, Heremans F J, Jerger P C, Auer A, Burkard G, Clerk A A and Awschalom D D 2017 Nat. Phys. 13 330

    Google Scholar Pub Med

    Guéry-Odelin D, Ruschhaupt A, Kiely A, Torrontegui E, MartínezGaraot S and Muga J G 2019 Rev. Mod. Phys. 91 045001

    Google Scholar Pub Med

    del Campo A and Kim K 2019 New J. Phys. 21 050201

    Google Scholar Pub Med

    Chen X, Lizuain I, Ruschhaupt A, Guéry-Odelin D and Muga J G 2010 Phys. Rev. Lett. 105 123003

    Google Scholar Pub Med

    Smith A, Lu Y, An S, Zhang X, Zhang J N, Gong Z, Quan H T, Jarzynski C and Kim K 2018 New J. Phys. 20 013008

    Google Scholar Pub Med

    del Campo A, Rams M M and Zurek W H 2012 Phys. Rev. Lett. 109 115703

    Google Scholar Pub Med

    Takahashi K 2013 Phys. Rev. E 87 062117

    Google Scholar Pub Med

    Sels D and Polkovnikov A 2017 Proc. Natl. Acad. Sci. USA 114 E3909

    Google Scholar Pub Med

    del Campo A 2013 Phys. Rev. Lett. 111 100502

    Google Scholar Pub Med

    Ibáñez S, Chen X and Muga J G 2013 Phys. Rev. A 87 043402

    Google Scholar Pub Med

    Opatrný T and Mølmer K 2014 New J. Phys. 16 015025

    Google Scholar Pub Med

    Chen Y H, Xia Y, Wu Q C, Huang B H and Song J 2016 Phys. Rev. A 93 052109

    Google Scholar Pub Med

    Saberi H, Opatrný T c v, Mølmer K and del Campo A 2014 Phys. Rev. A 90 060301

    Google Scholar Pub Med

    Ji Y, Bian J, Chen X, Li J, Nie X, Zhou H and Peng X 2019 Phys. Rev. A 99 032323

    Google Scholar Pub Med

    Campbell S, De Chiara G, Paternostro M, Palma G M and Fazio R 2015 Phys. Rev. Lett. 114 177206

    Google Scholar Pub Med

    Kyaw T H and Kwek L C 2018 New J. Phys. 20 045007

    Google Scholar Pub Med

    Zhou H, Dai X, Geng J, Jin F and Ji Y 2024 Phys. Lett. B 852 138632

    Google Scholar Pub Med

    Boyers E, Pandey M, Campbell D K, Polkovnikov A, Sels D and Sushkov A O 2019 Phys. Rev. A 100 012341

    Google Scholar Pub Med

    Zhou H, Ji Y, Nie X, Yang X, Chen X, Bian J and Peng X 2020 Phys. Rev. Appl. 13 044059

    Google Scholar Pub Med

    Petiziol F, Dive B, Mintert F and Wimberger S 2018 Phys. Rev. A 98 043436

    Google Scholar Pub Med

    Claeys P W, Pandey M, Sels D and Polkovnikov A 2019 Phys. Rev. Lett. 123 090602

    Google Scholar Pub Med

    Hatomura T and Takahashi K 2021 Phys. Rev. A 103 012220

    Google Scholar Pub Med

    Zhou H, Chen X, Nie X, Bian J, Ji Y, Li Z and Peng X 2019 Sci. Bull. 64 888

    Google Scholar Pub Med

    Mbeng G B and Lechner W 2022 arXiv:2207.03553[quant-ph]

    Google Scholar Pub Med

    Ji Y, Zhou F, Chen X, Liu R, Li Z, Zhou H and Peng X 2022 Phys. Rev. A 105 052422

    Google Scholar Pub Med

    Ji Y, Wu Z, Liu R, Li Y, Jin F, Zhou H and Peng X 2024 New J. Phys. 26 013041

    Google Scholar Pub Med

    Peng X, Zhang J, Du J and Suter D 2009 Phys. Rev. Lett. 103 140501

    Google Scholar Pub Med

    Du J, Xu N, Peng X, Wang P, Wu S and Lu D 2010 Phys. Rev. Lett. 104 030502

    Google Scholar Pub Med

    Feng G, Xu G and Long G 2013 Phys. Rev. Lett. 110 190501

    Google Scholar Pub Med

    Li Z, Zhou H, Ju C, Chen H, Zheng W, Lu D, Rong X, Duan C, Peng X and Du J 2014 Phys. Rev. Lett. 112 220501

    Google Scholar Pub Med

    Chen X, Wu Z, Jiang M, Lü X Y, Peng X and Du J 2021 Nat. Commun. 12 6281

    Google Scholar Pub Med

    Nie X, Wei B B, Chen X, Zhang Z, Zhao X, Qiu C, Tian Y, Ji Y, Xin T, Lu D and Li J 2020 Phys. Rev. Lett. 124 250601

    Google Scholar Pub Med

    Xin T, Che L, Xi C, Singh A, Nie X, Li J, Dong Y and Lu D 2021 Phys. Rev. Lett. 126 110502

    Google Scholar Pub Med

    Long X, He W T, Zhang N N, Tang K, Lin Z, Liu H, Nie X, Feng G, Li J, Xin T, Ai Q and Lu D 2022 Phys. Rev. Lett. 129 070502

    Google Scholar Pub Med

    Li J, Luo Z, Xin T, Wang H, Kribs D, Lu D, Zeng B and Laflamme R 2019 Phys. Rev. Lett. 123 030502

    Google Scholar Pub Med

    Li K, Wan Y, Hung L Y, Lan T, Long G, Lu D, Zeng B and Laflamme R 2017 Phys. Rev. Lett. 118 080502

    Google Scholar Pub Med

    Peng X, Zhou H, Wei B B, Cui J, Du J and Liu R B 2015 Phys. Rev. Lett. 114 010601

    Google Scholar Pub Med

    Luo Z, Li J, Li Z, Hung L Y, Wan Y, Peng X and Du J 2018 Nat. Phys. 14 160

    Google Scholar Pub Med

    Liu R, Chen Y, Jiang M, Yang X, Wu Z, Li Y, Yuan H, Peng X and Du J 2021 npj Quantum Information 7 170

    Google Scholar Pub Med

    Wu Z, Wang P, Wang T, Li Y, Liu R, Chen Y, Peng X and Liu R B 2024 Phys. Rev. Lett. 132 200802

    Google Scholar Pub Med

    Torrontegui E, Martínez-Garaot S, Ruschhaupt A and Muga J G 2012 Phys. Rev. A 86 013601

    Google Scholar Pub Med

    Passarelli G, Cataudella V, Fazio R and Lucignano P 2020 Phys. Rev. Res. 2 013283

    Google Scholar Pub Med

    Prielinger L, Hartmann A, Yamashiro Y, Nishimura K, Lechner W and Nishimori H 2021 Phys. Rev. Res. 3 013227

    Google Scholar Pub Med

    Hartmann A and Lechner W 2019 New. J. Phys. 21 043025

    Google Scholar Pub Med

    Xie Q, Seki K and Yunoki S 2022 Phys. Rev. B 106 155153

    Google Scholar Pub Med

    Schindler P M and Bukov M 2024 arXiv:2310.02728[quant-ph]

    Google Scholar Pub Med

    Orlov P, Tiutiakina A, Sharipov R, Petrova E, Gritsev V and Kurlov D V 2023 Phys. Rev. B 107 184312

    Google Scholar Pub Med

    Bhattacharjee B 2023 arXiv:2302.07228[quant-ph]

    Google Scholar Pub Med

    Takahashi K and del Campo A 2024 Phys. Rev. X 14 011032

    Google Scholar Pub Med

    Petiziol F, Dive B, Carretta S, Mannella R, Mintert F and Wimberger S 2019 Phys. Rev. A 99 042315

    Google Scholar Pub Med

    Hatomura T 2024 J. Phys. B: At. Mol. Opt. Phys. 57 102001

    Google Scholar Pub Med

    Vandersypen L M K and Chuang I L 2005 Rev. Mod. Phys. 76 1037

    Google Scholar Pub Med

    Peng X H and Suter D 2010 Front. Phys. China 5 1

    Google Scholar Pub Med

    Jones J A 2024 Prog. Nucl. Magn. Reson. Spectrosc. 140 49

    Google Scholar Pub Med

    Gershenfeld N A and Chuang I L 1997 Science 275 350

    Google Scholar Pub Med

    Knill E, Chuang I and Laflamme R 1998 Phys. Rev. A 57 3348

    Google Scholar Pub Med

    Vandersypen L M K, Steffen M, Breyta G, Yannoni C S, Cleve R and Chuang I L 2000 Phys. Rev. Lett. 85 5452

    Google Scholar Pub Med

    Peng X, Zhu X, Fang X, Feng M, Gao K, Yang X and Liu M 2001 Chem. Phys. Lett. 340 509

    Google Scholar Pub Med

    Suzuki M 1993 Proc. Jpn. Acad. Ser. B 69 161

    Google Scholar Pub Med

    Khaneja N, Reiss T, Kehlet C, Schulte-Herbruggen T and Glaser S 2005 J. Magn. Reson. 172 296

    Google Scholar Pub Med

    Lee J S 2002 Phys. Lett. A 305 349

    Google Scholar Pub Med

    Horodecki R, Horodecki P, Horodecki M and Horodecki K 2009 Rev. Mod. Phys. 81 865

    Google Scholar Pub Med

    Čepaitė I, Polkovnikov A, Daley A J and Duncan C W 2023 PRX Quantum 4 010312

    Google Scholar Pub Med

    Kolodrubetz M, Sels D, Mehta P and Polkovnikov A 2017 Phys. Rep. 697 1

    Google Scholar Pub Med

    Ibáñez S, Chen X, Torrontegui E, Muga J G and Ruschhaupt A 2012 Phys. Rev. Lett. 109 100403

    Google Scholar Pub Med

    Kang Y H, Chen Y H, Shi Z C, Huang B H, Song J and Xia Y 2018 Phys. Rev. A 97 033407

    Google Scholar Pub Med

    Huang B H, Kang Y H, Chen Y H, Shi Z C, Song J and Xia Y 2018 Phys. Rev. A 97 012333

    Google Scholar Pub Med

    Chandarana P, Hegade N N, Paul K, Albarrán-Arriagada F, Solano E, del Campo A and Chen X 2022 Phys. Rev. Res. 4 013141

    Google Scholar Pub Med

    Wurtz J and Love P J 2022 Quantum 6 635

    Google Scholar Pub Med

    Chandarana P, Hegade N N, Montalban I, Solano E and Chen X 2023 Phys. Rev. Appl. 20 014024

    Google Scholar Pub Med

    Guan H, Zhou F, Albarrán-Arriagada F, Chen X, Solano E, Hegade N N and Huang H L 2023 arXiv:2311.06682[quant-ph]

    Google Scholar Pub Med

    Chandarana P, Paul K, de Andoin M G, Ban Y, Sanz M and Chen X 2023 arXiv:2307.14853[quant-ph]

    Google Scholar Pub Med

    Vizzuso M, Passarelli G, Cantele G and Lucignano P 2024 New J. Phys. 26 013002

    Google Scholar Pub Med

    del Campo A, Goold J and Paternostro M 2014 Sci. Rep. 4 6208

    Google Scholar Pub Med

    Beau M, Jaramillo J and del Campo A 2016 Entropy 18 168

    Google Scholar Pub Med

    Cakmak B and Mustecaplioglu O E 2019 Phys. Rev. E 99 032108

    Google Scholar Pub Med

    Deng S, Chenu A, Diao P, Li F, Yu S, Coulamy I, del Campo A and Wu H 2018 Sci. Adv. 4 eaar5909

    Google Scholar Pub Med

    Funo K, Lambert N, Karimi B, Pekola J P, Masuyama Y and Nori F 2019 Phys. Rev. B 100 035407

    Google Scholar Pub Med

    Hartmann A, Mukherjee V, Niedenzu W and Lechner W 2020 Phys. Rev. Res. 2 023145

    Google Scholar Pub Med

    Williamson L A and Davis M J 2024 Phys. Rev. B 109 024310

    Google Scholar Pub Med

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Approximate constructions of counterdiabatic driving with NMR quantum systems

  • Received Date: 30/04/2024
  • Accepted Date: 13/06/2024
Fund Project: 

Abstract: Counterdiabatic driving (CD) offers a fast and robust route to manipulate quantum systems, which has widespread applications in quantum technologies. However, for higher-dimensional complex systems, the exact CD term involving the spectral properties of the system is difficult to calculate and generally takes a complicated form, impeding its experimental realization. Recently, many approximate methods have been proposed for designing CD passages in many-body systems. In this topical review, we focus on the CD formalism and briefly introduce several experimental constructions and applications of approximate CD driving in spin-chain models with nuclear magnetic resonance (NMR) systems.

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