Demonstration of Topological Data Analysis on a
Quantum Processor
Posted on 2018-02-09 - 22:04
Topological data analysis offers a robust way to extract useful information from noisy, unstructured data by identifying its underlying structure. Recently, a quantum algorithm was proposed [Lloyd, Garnerone, Zanardi, Nat. Commun. 7, 10138 (2016)] that can in principle offer an exponential speedup over existing classical algorithms for calculating Betti numbers -- the number of topological holes in a structure at various dimensions. Here, we implement a proof-of-principle demonstration of this quantum algorithm by employing a six-photon quantum processor to successfully analyze the topological features of Betti numbers of a network including three data points, providing new insights into data analysis in the era of quantum computing.
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Huang, He-Liang; Wang, Xi-Lin; Rohde, Peter; Luo, Yi-Han; Zhao, You-Wei; Liu, Chang; et al. (2018). Demonstration of Topological Data Analysis on a
Quantum Processor. Optica Publishing Group. Collection. https://doi.org/10.6084/m9.figshare.c.3965394.v1
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AUTHORS (10)
HH
He-Liang Huang
XW
Xi-Lin Wang
PR
Peter Rohde
YL
Yi-Han Luo
YZ
You-Wei Zhao
CL
Chang Liu
LL
Li Li
NL
NaiLe Liu
CL
Chaoyang Lu
JP
Jian-Wei Pan