Practical quantum simulation of small-scale non-Hermitian dynamics

Liu，Hongfeng1,2,3; Yang，Xiaodong1,2,3; Tang，Kai1,2,3; Che，Liangyu1,2,3; Nie，Xinfang1,3; Xin，Tao1,2,3; Li，Jun1,2,3; Lu，Dawei1,2,3

2023-06-01

10.1103/PhysRevA.107.062608

Physical Review A   Impact Factor & Quartile

2469-9926

2469-9934

Non-Hermitian quantum systems have recently attracted considerable attention due to their exotic properties. Though many experimental realizations of non-Hermitian systems have been reported, the non-Hermiticity usually resorts to the hard-to-control environments and cannot last for too long times. An alternative approach is to use quantum simulation with the closed system, whereas how to simulate non-Hermitian Hamiltonian dynamics remains a great challenge. To tackle this problem, we propose a protocol which combines a dilation method with the variational quantum algorithm. The dilation method is used to transform a non-Hermitian Hamiltonian into a Hermitian one through an exquisite quantum circuit, while the variational quantum algorithm is for efficiently approximating the complex entangled gates in this circuit. As a demonstration, we apply our protocol to simulate the dynamics of an Ising chain with nonlocal non-Hermitian perturbations, which is an important model to study quantum phase transition at nonzero temperatures. The numerical simulation results are highly consistent with the theoretical predictions, revealing the effectiveness of our protocol. The presented protocol paves the way for practically simulating small-scale non-Hermitian dynamics.

SCI

English

NI Journal Papers

First

National Key Re- search and Development Program of China[2019YFA0308100] ; National Natural Science Founda- tion of China["12204230","12104213","12075110","11825401","11975117","11905099","11875159","U1801661"] ; Guangdong Basic and Ap- plied Basic Research Foundation["2020A1515110987","2019A1515011383"] ; National Natural Science Foundation of China[2019YFA0308100] ; Guangdong Basic and Applied Basic Research Foundation["12204230","12104213","12075110","11825401","11975117","11905099","11875159","U1801661"] ; Guangdong International Collaboration Program[2019A1515011383] ; Science, Technology and Innovation Commission of Shenzhen Municipality[2020A0505100001] ; Open Project of Shenzhen Institute of Quantum Science and Engineering["ZDSYS20170303165926217","KQTD20190929173 815000","JCYJ20200109140803865","JCYJ20170412 152620376","JCYJ20180302174036418"] ; Guangdong Innovative and Entrepreneurial Research Team Program[SIQSE202003] ; Guangdong Provincial Key Laboratory[2019ZT08C044] ; null[2019B121203002]

Optics ; Physics

Optics ; Physics, Atomic, Molecular & Chemical

WOS:001012044600001

AMER PHYSICAL SOC

PHYSICS

2-s2.0-85161907636

Scopus

1.Shenzhen Institute for Quantum Science and Engineering,Department of Physics,Southern University of Science and Technology,Shenzhen,518055,China
2.International Quantum Academy,Shenzhen,518055,China
3.Guangdong Provincial Key Laboratory of Quantum Science and Engineering,Southern University of Science and Technology,Shenzhen,518055,China

Liu，Hongfeng,Yang，Xiaodong,Tang，Kai,et al. Practical quantum simulation of small-scale non-Hermitian dynamics[J]. Physical Review A,2023,107(6).

Liu，Hongfeng.,Yang，Xiaodong.,Tang，Kai.,Che，Liangyu.,Nie，Xinfang.,...&Lu，Dawei.(2023).Practical quantum simulation of small-scale non-Hermitian dynamics.Physical Review A,107(6).

Liu，Hongfeng,et al."Practical quantum simulation of small-scale non-Hermitian dynamics".Physical Review A 107.6(2023).