论文标题
DQC1作为开放量子系统
DQC1 as an Open Quantum System
论文作者
论文摘要
DQC1复杂性类别或一个量子模型的功率被检查为开放量子系统。我们研究了执行DQC1算法的Qubits寄存器的动力学，并表明，对于复杂性类别中的任何算法，逻辑量子的演变可以描述为一个开放的量子系统，该量子系统正在进行UNITAL的动力学。 Unital量子通道尊重Tasaki-Crooks的波动定理，我们演示了逻辑量子的热力学如何捕获这一点。作为应用，我们研究了DQC1痕量估计算法的平衡和非平衡热力学。我们表明，不同的计算输入，即估计的不同轨迹，导致量子台寄存器的不同能量交换，逻辑量子量的温度会影响算法的波动和质量的幅度。
The DQC1 complexity class, or power of one qubit model, is examined as an open quantum system. We study the dynamics of a register of qubits carrying out a DQC1 algorithm and show that, for any algorithm in the complexity class, the evolution of the logical qubit can be described as an open quantum system undergoing a dynamics which is unital. Unital quantum channels respect the Tasaki-Crooks fluctuation theorem and we demonstrate how this is captured by the thermodynamics of the logical qubit. As an application, we investigate the equilibrium and non-equilibrium thermodynamics of the DQC1 trace estimation algorithm. We show that different computational inputs, i.e. different traces being estimated, lead to different energetic exchanges across the register of qubits and that the temperature of the logical qubit impacts the magnitude of fluctuations experienced and quality of the algorithm.
