RT Journal Article
T1 Identifying the Riemann zeros by periodically driving a single qubit
A1 He, Ran
A1 Ai, Ming-Zhong
A1 Cui, Jin-Ming
A1 Huang, Yun-Feng
A1 Han, Yong-Jian
A1 Li, Chuan-Feng
A1 Tu, Tao
A1 Creffield, Charles E.
A1 Sierra, G.
A1 Guo, Guang-Can
AB The Riemann hypothesis, one of the most important open problems in pure mathematics, implies the most profound secret of prime numbers. One of the most interesting approaches to solving this hypothesis is to connect the problem with the spectrum of the physical Hamiltonian of a quantum system. However, none of the proposed quantum Hamiltonians has been experimentally feasible. Here we report an experiment using a Floquet method to identify the first nontrivial zero of the Riemann. function and the first two zeros of Polya's function. Through properly designed periodically driving functions, the zeros of these functions are characterized by the occurrence of crossings of quasienergies when the dynamics of the system is frozen. The experimentally obtained zeros are in good agreement with their exact values. Our study provides the experimental realization of the Riemann zeros in a quantum system, which may provide insights into the connection between the Riemann function and quantum physics.
PB Amercican Physical Society
SN 2469-9926
YR 2020
FD 2020-04-20
LK https://hdl.handle.net/20.500.14352/6230
UL https://hdl.handle.net/20.500.14352/6230
LA eng
NO ©2020 Amercican Physical SocietyThis work was supported by the National Key Research and Development Program of China (Grants No. 2017YFA0304100 and No. 2016YFA0302700), the National Natural Science Foundation of China (Grants No.11874343, No. 61327901, No. 11774335, No. 11474270, No. 11734015, and No. 11821404), Key Research Program of Frontier Sciences, CAS (Grant No. QYZDY-SSW-SLH003), the Fundamental Research Funds for the Central Universities (Grants No. WK2470000026, No. WK2470000027, and No. WK2470000028), and Anhui Initiative in Quantum Information Technologies (Grants No. AHY020100 and No. AHY070000). G.S. was supported by Grants No. PGC2018-095862-B-C21, No. QUITEMAD+ S2013/ICE-2801, and No. SEV-2016-0597 (Spain) and the CSIC Platform on Quantum Technologies PTI-001. C.E.C. was supported by Spain's MINECO through Grant No. FIS2017-84368-P.
NO Ministerio de Economía y Competitividad (MINECO)
NO Ministerio de Ciencia e Innovación (MICINN)
NO Comunidad de Madrid
NO Centro de Excelencia Severo Ochoa
DS Docta Complutense
RD 14 may 2024