Provably superior accuracy in quantum stochastic modeling

Yang，Chengran1,2; Garner，Andrew J.P.2,3; Liu，Feiyang4; Tischler，Nora5,6; Thompson，Jayne1; Yung，Man Hong4; Gu，Mile1,2,7; Dahlsten，Oscar4,8

2023-08-01

10.1103/PhysRevA.108.022411

Physical Review A   影响因子和分区

2469-9926

2469-9934

In the design of stochastic models, there is a constant trade-off between model complexity and accuracy. Here we prove that quantum models enable a more favorable trade-off. We present a technique for identifying fundamental upper bounds on the predictive accuracy of dimensionality-constrained classical models. We identify quantum models that surpass this bound by creating an algorithm that learns quantum models given time-series data. We demonstrate that this quantum accuracy advantage is attainable in a present-day noisy quantum device. These results illustrate the immediate relevance of quantum technologies to time-series analysis and offer an instance where their resulting accuracy advantage can be provably established.

EI ; SCI

英语

其他

Agency for Science, Technology and Research (A*STAR)[NRF2021-QEP2-02-P06] ; Foundational Questions Institute and Fetzer Franklin Fund["RG77/22","RG146/20","QEP1.0","QEP-SF3","FQXI R-710-000-146-720"] ; Quantum Engineering Program[QEP-SP3] ; Australian Research Council (ARC) Centre of Excellence[CE170100012] ; National Natural Science Foundation of China["12050410246","1200509","12050410245"] ; City University of Hong Kong[9610623]

Optics ; Physics

Optics ; Physics, Atomic, Molecular & Chemical

WOS:001130447800003

AMER PHYSICAL SOC

20233314573768

Economic and social effects ; Stochastic models ; Stochastic systems

Control Systems:731.1 ; Probability Theory:922.1 ; Mathematical Statistics:922.2 ; Systems Science:961 ; Social Sciences:971

PHYSICS

2-s2.0-85167865660

Scopus

1.Centre for Quantum Technologies,National University of Singapore,Singapore,3 Science Drive 2,117543,Singapore
2.Nanyang Quantum Hub,School of Physical and Mathematical Sciences,Nanyang Technological University,Singapore,637371,Singapore
3.Institute for Quantum Optics and Quantum Information,Austrian Academy of Sciences,Vienna,Boltzmanngasse 3,1090,Austria
4.Shenzhen Institute for Quantum Science and Engineering,Department of Physics,Southern University of Science and Technology,Shenzhen,518055,China
5.Centre for Quantum Computation and Communication Technology,Centre for Quantum Dynamics,Griffith University,Brisbane,Yuggera Country,4111,Australia
6.Dahlem Center for Complex Quantum Systems,Freie Universität Berlin,Berlin,14195,Germany
7.MajuLab,CNRS-UNS-NUS-NTU International Joint Research Unit,Umi 3654,Singapore,117543,Singapore
8.Department of Physics,City University of Hong Kong,Kowloon,83 Tat Chee Avenue,Hong Kong

Yang，Chengran,Garner，Andrew J.P.,Liu，Feiyang,et al. Provably superior accuracy in quantum stochastic modeling[J]. Physical Review A,2023,108(2).

Yang，Chengran.,Garner，Andrew J.P..,Liu，Feiyang.,Tischler，Nora.,Thompson，Jayne.,...&Dahlsten，Oscar.(2023).Provably superior accuracy in quantum stochastic modeling.Physical Review A,108(2).

Yang，Chengran,et al."Provably superior accuracy in quantum stochastic modeling".Physical Review A 108.2(2023).