论文标题
量子电路用于集体振幅阻尼在双Quibit Systems中
Quantum Circuits for Collective Amplitude Damping in Two-Qubit Systems
论文作者
论文摘要
量子计算机现已出现在我们的社会中,并用于研究科学和工程。目前,它们是作为中型计算机构建的,其中包含大约五十吨,并且针对噪声效应较弱。因此,它们被称为嘈杂的中间尺度量子设备。为了通过使用这些计算机完成有效的量子计算,关键问题将是对个体和集体量子噪声的连贯控制。在这项工作中,我们专注于后一种类型,并研究表示为量子电路的集体量子噪声的表述。为了简化我们的讨论并使它们变得具体,我们分析了双Q Q量化系统中的集体振幅阻尼过程。作为对我们的形式主义和量子电路的验证,我们通过检查六个不同的初始条件,通过不同的量子模拟执行数量来证明集体振幅阻尼的数字量子模拟。我们观察到,随着我们增加这样的数字,我们的结果与两个Qubit Systems的量子主方程的解决方案显示出良好的数值匹配。此外,我们解释了扩展形式主义的方式的本质,以分析较大量子系统中的集体振幅阻尼。这些结果为建立系统的方法来控制量子噪声和设计大规模量子计算机铺平了道路。
Quantum computers have now appeared in our society and are utilized for the investigation of science and engineering. At present, they have been built as intermediate-size computers containing about fifty qubits and are weak against noise effects. Hence, they are called noisy-intermediate scale quantum devices. In order to accomplish efficient quantum computation with using these machines, a key issue is going to be the coherent control of individual and collective quantum noises. In this work, we focus on a latter type and investigate formulations of the collective quantum noises represented as quantum circuits. To simplify our discussions and make them concrete, we analyze collective amplitude damping processes in two-qubit systems. As verifications of our formalisms and the quantum circuits, we demonstrate digital quantum simulations of the collective amplitude damping by examining six different initial conditions with varying the number of execution of an overall operation for our quantum simulations. We observe that our results show good numerical matching with the solution of quantum master equation for the two-qubit systems as we increase such a number. In addition, we explain the essence of the way to extend our formalisms to analyze the collective amplitude damping in larger qubit systems. These results pave the way for establishing systematic approaches to control the quantum noises and designing large-scale quantum computers.