Adaptive quantum state tomography via linear regression estimation: Theory and two-qubit experiment

doi:10.1038/s41534-017-0016-4

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	Adaptive quantum state tomography via linear regression estimation: Theory and two-qubit experiment
	Qi, Bo1,2,3,4 ; Hou, Zhibo 5,6; Wang, Yuanlong 7; Dong, Daoyi 7; Zhong, Han-Sen 5,6; Li, Li 3,4; Xiang, Guo-Yong 5,6; Wiseman, Howard M.3,4; Li, Chuan-Feng 5,6; Guo, Guang-Can 5,6
	2017-04-24
发表期刊	NPJ QUANTUM INFORMATION
ISSN	2056-6387
卷号	3 页码:7
摘要	Adaptive techniques have great potential for wide application in enhancing the precision of quantum parameter estimation. We present an adaptive quantum state tomography protocol for finite dimensional quantum systems and experimentally implement the adaptive tomography protocol on two-qubit systems. In this adaptive quantum state tomography protocol, an adaptive measurement strategy and a recursive linear regression estimation algorithm are performed. Numerical results show that our adaptive quantum state tomography protocol can outperform tomography protocols using mutually unbiased bases and the two-stage mutually unbiased bases adaptive strategy, even with the simplest product measurements. When nonlocal measurements are available, our adaptive quantum state tomography can beat the Gill-Massar bound for a wide range of quantum states with a modest number of copies. We use only the simplest product measurements to implement two-qubit tomography experiments. In the experiments, we use error-compensation techniques to tackle systematic error due to misalignments and imperfection of wave plates, and achieve about a 100-fold reduction of the systematic error. The experimental results demonstrate that the improvement of adaptive quantum state tomography over nonadaptive tomography is significant for states with a high level of purity. Our results also show that this adaptive tomography method is particularly effective for the reconstruction of maximally entangled states, which are important resources in quantum information.
DOI	10.1038/s41534-017-0016-4
语种	英语
资助项目	National Natural Science Foundation of China[61222504] ; National Natural Science Foundation of China[11574291] ; National Natural Science Foundation of China[61374092] ; National Natural Science Foundation of China[61227902] ; Australian Research Council's Discovery Projects[DP130101658] ; Center of Excellence[CE110001027]
WOS研究方向	Physics
WOS类目	Physics, Applied ; Physics, Atomic, Molecular & Chemical ; Physics, Condensed Matter
WOS记录号	WOS:000401285300001
出版者	NATURE PUBLISHING GROUP
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/25485
专题	系统科学研究所
通讯作者	Xiang, Guo-Yong
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 3.Griffith Univ, Ctr Quantum Computat & Commun Technol, Brisbane, Qld 4111, Australia 4.Griffith Univ, Ctr Quantum Dynam, Brisbane, Qld 4111, Australia 5.Univ Sci & Technol China, Key Lab Quantum Informat, CAS, Hefei 230026, Peoples R China 6.Univ Sci & Technol China, Synerget Innovat Ctr Quantum Informat & Quantum P, Hefei 230026, Anhui, Peoples R China 7.Univ New South Wales, Sch Engn & Informat Technol, Canberra, ACT 2600, Australia
推荐引用方式 GB/T 7714	Qi, Bo,Hou, Zhibo,Wang, Yuanlong,et al. Adaptive quantum state tomography via linear regression estimation: Theory and two-qubit experiment[J]. NPJ QUANTUM INFORMATION,2017,3:7.
APA	Qi, Bo.,Hou, Zhibo.,Wang, Yuanlong.,Dong, Daoyi.,Zhong, Han-Sen.,...&Guo, Guang-Can.(2017).Adaptive quantum state tomography via linear regression estimation: Theory and two-qubit experiment.NPJ QUANTUM INFORMATION,3,7.
MLA	Qi, Bo,et al."Adaptive quantum state tomography via linear regression estimation: Theory and two-qubit experiment".NPJ QUANTUM INFORMATION 3(2017):7.