Simulating lattice quantum electrodynamics on a quantum computer

被引：1

作者：

Kan, Angus ^{[1
,4
]}

Nam, Yunseong ^{[2
,3
]}

机构：

[1] Univ Waterloo, Inst Quantum Comp, Waterloo, ON N2L 3G1, Canada

[2] IonQ Inc, College Pk, MD 20740 USA

[3] Univ Maryland, Dept Phys, College Pk, MD 20742 USA

[4] Univ Waterloo, Dept Phys & Astron, Canad, Waterloo, ON N2L 3G1, Canada

来源：

QUANTUM SCIENCE AND TECHNOLOGY | 2023年 / 8卷 / 01期

关键词：

fault-tolerant; quantum simulation; quantum algorithm; lattice gauge theories; GAUGE-THEORIES; HAMILTONIAN-FORMULATION; INVARIANCE;

D O I：

10.1088/2058-9565/aca0b8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

U(1) lattice gauge theories (LGTs) offer a way to simulate quantum electrodynamics, one of the three forces unified by the Standard Model of particles physics. Here we provide complete, quantum-gate-by-quantum-gate algorithms to simulate U(1) LGTs on a fault-tolerant quantum computer. We further perform rigorous error analysis in order to derive concrete estimates of the quantum computational resources required for an accurate simulation of U(1) LGTs using a second-order product formula. We show that U(1) LGTs in any spatial dimension can be simulated using O tilde (T-3/2 N-3/2 lambda?(-1/2) ) non-Clifford T gates, where T is the simulation time, N is the number of lattice sites, lambda is the truncation parameter for the bosonic gauge fields, and ? is the simulation error. This work paves the way towards fault-tolerant quantum simulations of physical models closely related to the Standard Model of particle physics.

引用

页数：36

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