Experimental Hamiltonian Learning of an 11-Qubit Solid-State Quantum Spin Register
P.-Y. Hou$^†$, L. He$^†$, F. Wang$^†$, X.-Z. Huang, W.-G. Zhang, X.-L. Ouyang, X. Wang, W.-Q. Lian, X.-Y. Chang, L.-M. Duan**
Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University, Beijing 100084
Abstract ：Learning the Hamiltonian of a quantum system is indispensable for prediction of the system dynamics and realization of high fidelity quantum gates. However, it is a significant challenge to efficiently characterize the Hamiltonian which has a Hilbert space dimension exponentially growing with the system size. Here, we develop and implement an adaptive method to learn the effective Hamiltonian of an 11-qubit quantum system consisting of one electron spin and ten nuclear spins associated with a single nitrogen-vacancy center in a diamond. We validate the estimated Hamiltonian by designing universal quantum gates based on the learnt Hamiltonian and implementing these gates in the experiment. Our experimental result demonstrates a well-characterized 11-qubit quantum spin register with the ability to test quantum algorithms, and shows our Hamiltonian learning method as a useful tool for characterizing the Hamiltonian of the nodes in a quantum network with solid-state spin qubits.
收稿日期: 2019-09-23
出版日期: 2019-09-25
引用本文:
. [J]. 中国物理快报, 2019, 36(10): 100303-100303.
链接本文:
https://cpl.iphy.ac.cn/CN/10.1088/0256-307X/36/10/100303
或
https://cpl.iphy.ac.cn/CN/Y2019/V36/I10/100303
[1] Monz T, Schindler P, Barreiro J T, Chwalla M, Nigg D, Coish W A, Harlander M, Hansel W, Hennrich M and Blatt R 2011 Phys. Rev. Lett. 106 130506 [2] Friis N, Marty O, Maier C, Hempel C, Holzapfel M, Jurcevic P, Plenio M B, Huber M, Roos C, Blatt R 2018 Phys. Rev. X 8 021012 [3] Zhang J, Pagano G, Hess P W, Kyprianidis A, Becker P, Kaplan H, Gorshkov A V, Gong Z X and Monroe C 2017 Nature 551 601 [4] Reiserer A, Kalb N, Blok M S, K J van Bemmelen, Taminiau T H, Hanson R, Twitchen D J and Markham M 2016 Phys. Rev. X 6 021040 [5] Humphreys P C, Kalb N, Morits J P, Schouten R N, Vermeulen R F, Twitchen D J, Markham M and Hanson R 2018 Nature 558 268 [6] Childress L and Hanson R 2013 MRS Bull. 38 134 [7] Dutt M G, Childress L, Jiang L, Togan E, Maze J, Jelezko F, Zibrov A, Hemmer P and Lukin M 2007 Science 316 1312 [8] Pfaff W, Hensen B, Bernien H, S B Van Dam, Blok M S, Taminiau T H, Tiggelman M J, Schouten R N, Markham M, Twitchen D J 2014 Science 345 532 [9] S B Van Dam, Humphreys P C, Rozpkedek F, Wehner S and Hanson R 2017 Quantum Sci. Technol. 2 034002 [10] Abobeih M H, Cramer J, Bakker M A, Kalb N, Markham M, Twitchen D and Taminiau T H 2018 Nat. Commun. 9 2552 [11] Taminiau T H, Wagenaar J J T, T van der Sar, Jelezko F, Dobrovitski V V and Hanson R 2012 Phys. Rev. Lett. 109 137602 [12] Taminiau T H, Cramer J, T van der Sar, Dobrovitski V V and Hanson R 2014 Nat. Nanotechnol. 9 171 [13] Goldman M L, Sipahigil A, Doherty M W, Yao N Y, Bennett S D, Markham M, Twitchen D J, Manson N B, Kubanek A and Lukin M D 2015 Phys. Rev. Lett. 114 145502 [14] Casanova J, Wang Z Y and Plenio M B 2017 Phys. Rev. A 96 032314 [15] Bernien H, Schwartz S, Keesling A, Levine H, Omran A, Pichler H, Choi S, Zibrov A S, Endres M, Greiner M 2017 Nature 551 579 [16] Kelly J, Barends R, Fowler A G, Megrant A, Jeffrey E, White T C, Sank D, Mutus J Y, Campbell B, Chen Y 2015 Nature 519 66 [17] Ibm makes quantum computing available on ibm cloud [18] Song C, Xu K, Li H, Zhang Y R, Zhang X, Liu W, Guo Q, Wang Z, Ren W, Hao J 2019 Science 365 574 [19] Yan Z, Zhang Y R, Gong M, Wu Y, Zheng Y, Li S, Wang C, Liang F, Lin J, Xu Y 2019 Science 364 753 [20] Cramer J, Kalb N, Rol M A, Hensen B, Blok M S, Markham M, Twitchen D J, Hanson R and Taminiau T H 2016 Nat. Commun. 7 11526 [21] Maletinsky P, Hong S, Grinolds M S, Hausmann B, Lukin M D, Walsworth R L, Loncar M and Yacoby A 2012 Nat. Nanotechnol. 7 320 [22] Schirhagl R, Chang K, Loretz M and Degen C L 2014 Annu. Rev. Phys. Chem. 65 83 [23] Lovchinsky I, Sushkov A O, Urbach E, N P de Leon, Choi S, K De Greve, Evans R, Gertner R, Bersin E, Muller C 2016 Science 351 836 [24] Boss J M, Cujia K S, Zopes J and Degen C L 2017 Science 356 837 [25] Schmitt S, Gefen T, Sturner F M, Unden T, Wolff G, Muller C, Scheuer J, Naydenov B, Markham M, Pezzagna S 2017 Science 356 832 [26] Degen C L, Reinhard F and Cappellaro P 2017 Rev. Mod. Phys. 89 035002 [27] Dolde F, Bergholm V, Wang Y, Jakobi I, Naydenov B, Pezzagna S, Meijer J, Jelezko F, Neumann P, Schulte-Herbrüggen T 2014 Nat. Commun. 5 3371 [28] Arroyo-Camejo S, Lazariev A, Hell S W and Balasubramanian G 2014 Nat. Commun. 5 4870 [29] G De Lange, Wang Z, Riste D, Dobrovitski V and Hanson R 2010 Science 330 60 [30] Naydenov B, Dolde F, Hall L T, Shin C, Fedder H, Hollenberg L C L, Jelezko F and Wrachtrup J 2011 Phys. Rev. B 83 081201 [31] Pham L M, Bar-Gill N, Belthangady C, D Le Sage, Cappellaro P, Lukin M D, Yacoby A and Walsworth R L 2012 Phys. Rev. B 86 045214 [32] Liu G Q, Po H C, Du J, Liu R B and Pan X Y 2013 Nat. Commun. 4 2254 [33] Bernien H, Hensen B, Pfaff W, Koolstra G, Blok M, Robledo L, Taminiau T, Markham M, Twitchen D, Childress L 2013 Nature 497 86 [34] Kalb N, Reiserer A A, Humphreys P C, Bakermans J J, Kamerling S J, Nickerson N H, Benjamin S C, Twitchen D J, Markham M and Hanson R 2017 Science 356 928 [35] Bonato C, Blok M S, Dinani H T, Berry D W, Markham M L, Twitchen D J and Hanson R 2016 Nat. Nanotechnol. 11 247 [36] Cappellaro P 2012 Phys. Rev. A 85 030301 [37] Griffiths R B and Niu C S 1996 Phys. Rev. Lett. 76 3228 [38] Zu C, Wang W B, He L, Zhang W G, Dai C Y, Wang F and Duan L M 2014 Nature 514 72 [39] Rong X, Geng J, Shi F, Liu Y, Xu K, Ma W, Kong F, Jiang Z, Wu Y and Du J 2015 Nat. Commun. 6 8748 [40] Bradley C E, Randall J, Abobeih M H, Berrevoets R C, Degen M J, Bakker M A, Markham M, Twitchen D J and Taminiau T H 2019 Phys. Rev. X 9 031045
[1]
.
[2]
.
[3]
.
[4]
.
[5]
.
[6]
.
[7]
.
[8]
.
[9]
.
[10]
.
[11]
.
[12]
.
[13]
.
[14]
.
[15]
.
2019, Vol. 36 
