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arXiv 2106.09148quant-phmath.OC
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利用单个初态实现纯态制备的量子最优控制

Quantum Optimal Control for Pure-State Preparation Using One Initial State

Stefanie Günther, N. Anders Petersson, Jonathan L. DuBois

AI总结:

本文提出一种基于数值最优控制的纯态制备框架,构建密度矩阵基以实现与系统维度无关的单初态优化,并将其应用于耦合读出腔的量子比特基态重置。

摘要:

本文提出了一种通过数值最优控制求解纯态制备问题的框架。作为示例,我们研究了多个量子比特与读出腔色散耦合的场景。我们采用由外部控制脉冲驱动的马尔可夫Lindblad主方程对开放系统量子动力学进行建模。本文的主要成果是构建了一组密度矩阵基(一种参数化方式),其中每个基元本身就是一个密度矩阵。利用特定的目标函数,我们展示了如何在整个优化过程中将这些基元的系综作为单个初态使用,且该过程与系统维度无关。我们将这一通用框架应用于耦合到读出腔的单量子比特和双量子比特的基态重置这一具体场景。

英文摘要:

This paper presents a framework for solving the pure-state preparation problem using numerical optimal control. As an example, we consider the case where a number of qubits are dispersively coupled to a readout cavity. We model open system quantum dynamics using the Markovian Lindblad master equation, driven by external control pulses. The main result of this paper develops a basis of density matrices (a parameterization) where each basis element is a density matrix itself. Utilizing a specific objective function, we show how an ensemble of the basis elements can be used as a single initial state throughout the optimization process - independent of the system dimension. We apply the general framework to the specific application of ground-state reset of one and two qubits coupled to a readout cavity.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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