论文标题

使用通用超导量子电路模拟有限的量子等温过程

Simulating finite-time quantum isothermal processes with generic superconducting quantum circuit

论文作者

Chen, Jin-Fu, Li, Ying, Dong, Hui

论文摘要

有限的等温过程是量子热力学的基础,但与改变的控制参数以及与热浴的相互作用的结合变得复杂。这种复杂性阻止了相关数量的传统热力学测量的直接应用。在本文中,我们提供了一种离散的方法,通过将过程分解为分段绝热和等距过程,以分离等温过程中所做的工作和热量交换。分段控制方案使得可以在通用量子计算机上模拟整个过程,该计算机为实验研究量子热力学提供了一个新的平台。我们在IBMQX2上实现了模拟,以显示$ \ Mathrm {\ Mathcal {C}/τ} $在有限的等温过程中额外工作的缩放。

The finite-time isothermal process is fundamental in quantum thermodynamics yet complicated with combination of changing control parameters and the interaction with the thermal bath. Such complexity prevents the direct application of the traditional thermodynamics measurement of the relevant quantities. In this paper, we provide a discrete-step method to separate the work done and the heat exchange in the isothermal process by decomposing the process into piecewise adiabatic and isochoric processes. The piecewise control scheme makes it possible to simulate the whole process on a generic quantum computer, which provides a new platform to experimentally study quantum thermodynamics. We implement the simulation on ibmqx2 to show the $\mathrm{\mathcal{C}/τ}$ scaling of the extra work in the finite-time isothermal process.

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