论文标题

在1+1维中量子染色体动力学的量子模拟的准备:(i)轴向仪表

Preparations for Quantum Simulations of Quantum Chromodynamics in 1+1 Dimensions: (I) Axial Gauge

论文作者

Farrell, Roland C., Chernyshev, Ivan A., Powell, Sarah J. M., Zemlevskiy, Nikita A., Illa, Marc, Savage, Martin J.

论文摘要

开发了$ 1+1 $的量子模拟所需的工具。当以轴向仪表和两种夸克风味配制时,该系统需要每个空间位点12量Quart,并通过非本地相互作用包含仪表场。经典计算和D-Wave的量子退火优势用于确定辐射光谱,使质量分解和夸克纠缠研究。发现了限制在晶格末端的筛选长度内的颜色边缘状态。 IBM的7 QUIT量子计算机,IBMQ_JAKARTA和IBM_PERTH,用于用一个空间位点在一料QCD中从琐事真空中计算动力学。更一般而言,开发了带有$ N_F $ Quarks的口味的$ 1+1 $ 1+1 $ 1 $ 1+1 $ 1 $ 1 $ 1 $ 1 $ 1 $ 1 $ 1 $ 1+1 $ 1 $ 1+1 $的量子电路的量子。

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 non-local 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 7-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 $SU(N_c)$ gauge theory with $N_f$ flavors of quarks are developed, and the resource requirements for large-scale quantum simulations are estimated.

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