论文标题

通过主动冷却在量子计算机上的Boltzmann分布

Boltzmann Distributions on a Quantum Computer via Active Cooling

论文作者

Ball, Carter, Cohen, Thomas D.

论文摘要

量子计算提高了解决目前棘手的物理问题各种问题的可能性。许多此类问题涉及热平衡内或附近的系统物理。在量子计算机上计算热期望值的主要方法有两种:构建一个热预期值的热状态,或从给定温度的Boltzmann分布中采样各种能量特征状态。在本文中,我们解决了第二种方法,并提出了一种使用主动冷却来产生分布的算法。尽管该算法相当一般并且适用于多种系统,但它的开发是为了模拟非亚伯仪理论(例如QCD)的热构型的特定意图,QCD(QCD)将允许研究Quark-gluon等离子体在重型离子碰撞中产生的夸克血浆。

Quantum computing raises the possibility of solving a variety of problems in physics that are presently intractable. A number of such problems involves the physics of systems in or near thermal equilibrium. There are two main ways to compute thermal expectation values on a quantum computer: construct a thermal state that reproduces thermal expectation values, or sample various energy eigenstates from a Boltzmann distribution of a given temperature. In this paper we address the second approach and propose an algorithm that uses active cooling to produce the distribution. While this algorithm is quite general and applicable to a wide variety of systems, it was developed with the specific intention of simulating thermal configurations of non-Abelian gauge theories such as QCD, which would allow the study of quark-gluon plasma created in heavy-ion collisions.

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