A noise-robust quantum dynamics learning protocol based on Choi-Jamiolkowski isomorphism: theory and experiment

Chen, Xin-Yu1; Gao, Pan2; Qiu, Chu-Dan3; Lu, Ya-Nan4; Yang, Fan1,2; Zhao, Yuanyuan8; Li, Hang2; Zhang, Jiang2; Wei, Shijie2; Xing, Tonghao2; Pan, Xin-Yu4,5,6; Ruan, Dong1; Zhang, Feihao2; Li, Keren7,8; Long, Guilu1,2

2024-03-01

10.1088/1367-2630/ad309d

NEW JOURNAL OF PHYSICS   影响因子和分区

1367-2630

With the rapid development of quantum technology, the growing manipulated Hilbert space makes learning the dynamics of the quantum system a significant challenge. Machine learning technique has brought apparent advantages in some learning strategies, therefore, we introduce it to indirect learning in this paper. Based on Choi-Jamiolkowski isomorphism, we propose a protocol that learns the dynamics of an inaccessible quantum system using a quantum device at hand. For an n-qubit system, the learning task can be done iteratively, with operational complexity O(poly(n,L)/epsilon 2) in each iteration, where L is the circuit depth and epsilon is the measurement error. Then we theoretically prove its noise resilience to global depolarization, state preparation and measurement noise, and unitary noise in gates implementation, where we find the learned dynamics stay invariant. Finally, we investigate the protocol experimentally on a nitrogen-vacancy center system with a natural noise source. The results show that the behavior of a relatively intractable nuclear spin can be learned through an easily accessible electron spin under different noise models, demonstrating the protocol's feasibility.

indirect learning Choi-Jamiolkowski isomorphism noise resilience nitrogen-vacancy center

SCI ; EI

英语

其他

National Natural Science Foundation of China["61727801","11974205","11774197"] ; Beijing Nova Program[20230484345] ; Innovation Program for Quantum Science and Technology[2021ZD0302901] ; Key Research and Development Program of Guangdong province[2018B030325002] ; null[Z200009]

Physics

Physics, Multidisciplinary

WOS:001185386400001

IOP Publishing Ltd

PHYSICS

Web of Science

1.Tsinghua Univ, Dept Phys, Beijing 100084, Peoples R China
2.Beijing Acad Quantum Informat Sci, Beijing 100193, Peoples R China
3.Southern Univ Sci & Technol, Dept Phys, Shenzhen 518055, Peoples R China
4.Inst Phys, Chinese Acad Sci, Beijing 100190, Peoples R China
5.Songshan Lake Mat Lab, Dongguan 523808, Guangdong, Peoples R China
6.CAS Ctr Excellence Topol Quantum Computat, Beijing 100190, Peoples R China
7.Shenzhen Univ, Coll Phys & Optoelect Engn, Shenzhen 518060, Peoples R China
8.Quantum Sci Ctr, Guangdong Hongkong Macao Greater Bay Area Guangdon, Shenzhen 518045, Peoples R China

Chen, Xin-Yu,Gao, Pan,Qiu, Chu-Dan,et al. A noise-robust quantum dynamics learning protocol based on Choi-Jamiolkowski isomorphism: theory and experiment[J]. NEW JOURNAL OF PHYSICS,2024,26(3).

Chen, Xin-Yu.,Gao, Pan.,Qiu, Chu-Dan.,Lu, Ya-Nan.,Yang, Fan.,...&Long, Guilu.(2024).A noise-robust quantum dynamics learning protocol based on Choi-Jamiolkowski isomorphism: theory and experiment.NEW JOURNAL OF PHYSICS,26(3).

Chen, Xin-Yu,et al."A noise-robust quantum dynamics learning protocol based on Choi-Jamiolkowski isomorphism: theory and experiment".NEW JOURNAL OF PHYSICS 26.3(2024).