Preparations for quantum simulations of quantum chromodynamics in 1+1 dimensions. I. Axial gauge

被引：47
作者：
Farrell, Roland C. [1 ]
Chernyshev, Ivan A. [1 ]
Powell, Sarah J. M. [2 ]
Zemlevskiy, Nikita A. [1 ]
Illa, Marc [1 ]
Savage, Martin J. [1 ]
机构：
[1] Univ Washington, Dept Phys, InQubator Quantum Simulat IQuS, Seattle, WA 98195 USA
[2] York Univ, Dept Phys & Astron, Toronto, ON M3J 1P3, Canada
来源：
PHYSICAL REVIEW D | 2023年 / 107卷 / 05期
关键词：
EFFECTIVE-FIELD THEORY; MANY-BODY TREATMENT; LATTICE THEORIES; CONTINUUM-LIMIT; MODEL; INFORMATION; COMPUTATION; SYMMETRIES; DEPENDENCE; SYSTEMS;
D O I：
10.1103/PhysRevD.107.054512
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
Tools necessary for quantum simulations of 1 + 1 dimensional quantum chromodynamics are developed. When formulated in axial gauge and with two flavors of quarks, this system requires 12 qubits per spatial site with the gauge fields included via nonlocal interactions. Classical computations and D-wave's quantum annealer Advantage are used to determine the hadronic spectrum, enabling a decomposition of the masses and a study of quark entanglement. Color "edge" states confined within a screening length of the end of the lattice are found. IBM's seven-qubit quantum computers, ibmq_jakarta and ibm_perth, are used to compute dynamics from the trivial vacuum in one -flavor QCD with one spatial site. More generally, the Hamiltonian and quantum circuits for time evolution of 1 + 1 dimensional SU(Nc) gauge theory with Nf flavors of quarks are developed, and the resource requirements for large-scale quantum simulations are estimated.
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页数：43
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