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Full reconstruction of a 14-qubit state within four hours
Hou, Zhibo1,2; Zhong, Han-Sen1,2; Tian, Ye1,2; Dong, Daoyi3; Qi, Bo4,5; Li, Li6,7; Wang, Yuanlong3; Nori, Franco8,9; Xiang, Guo-Yong1,2; Li, Chuan-Feng1,2; Guo, Guang-Can1,2
AbstractFull quantum state tomography (FQST) plays a unique role in the estimation of the state of a quantum system without a priori knowledge or assumptions. Unfortunately, since FQST requires informationally (over) complete measurements, both the number of measurement bases and the computational complexity of data processing suffer an exponential growth with the size of the quantum system. A 14-qubit entangled state has already been experimentally prepared in an ion trap, and the data processing capability for FQST of a 14-qubit state seems to be far away from practical applications. In this paper, the computational capability of FQST is pushed forward to reconstruct a 14-qubit state with a run time of only 3.35 hours using the linear regression estimation (LRE) algorithm, even when informationally overcomplete Pauli measurements are employed. The computational complexity of the LRE algorithm is first reduced from similar to 10(19) to similar to 10(15) for a 14-qubit state, by dropping all the zero elements, and its computational efficiency is further sped up by fully exploiting the parallelism of the LRE algorithm with parallel Graphic Processing Unit (GPU) programming. Our result demonstrates the effectiveness of using parallel computation to speed up the postprocessing for FQST, and can play an important role in quantum information technologies with large quantum systems.
Keyword14-qubit full tomography LRE parallel GPU programming
Funding ProjectNational 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[DP130101658] ; RIKEN iTHES Project ; IMPACT program of JST
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
WOS IDWOS:000384011300003
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Document Type期刊论文
Corresponding AuthorXiang, Guo-Yong
Affiliation1.Univ Sci & Technol China, Key Lab Quantum Informat, CAS, Hefei 230026, Peoples R China
2.Univ Sci & Technol China, Synerget Innovat Ctr Quantum Informat & Quantum P, Hefei 230026, Anhui, Peoples R China
3.Univ New South Wales, Sch Engn & Informat Technol, Canberra, ACT 2600, Australia
4.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, ISS, Beijing 100190, Peoples R China
5.Chinese Acad Sci, Acad Math & Syst Sci, Natl Ctr Math & Interdisciplinary Sci, Beijing 100190, Peoples R China
6.Griffith Univ, Ctr Quantum Computat & Commun Technol, Brisbane, Qld 4111, Australia
7.Griffith Univ, Ctr Quantum Dynam, Brisbane, Qld 4111, Australia
8.RIKEN, CEMS, Wako, Saitama 3510198, Japan
9.Univ Michigan, Dept Phys, Ann Arbor, MI 48109 USA
Recommended Citation
GB/T 7714
Hou, Zhibo,Zhong, Han-Sen,Tian, Ye,et al. Full reconstruction of a 14-qubit state within four hours[J]. NEW JOURNAL OF PHYSICS,2016,18:8.
APA Hou, Zhibo.,Zhong, Han-Sen.,Tian, Ye.,Dong, Daoyi.,Qi, Bo.,...&Guo, Guang-Can.(2016).Full reconstruction of a 14-qubit state within four hours.NEW JOURNAL OF PHYSICS,18,8.
MLA Hou, Zhibo,et al."Full reconstruction of a 14-qubit state within four hours".NEW JOURNAL OF PHYSICS 18(2016):8.
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