论文标题
量子上的量子热噪声的建模和模拟
Modeling and simulation of a quantum thermal noise on the qubit
论文作者
论文摘要
量子噪声或变形是影响量子技术性能的主要因素。在Qubit上,重要的量子噪声通常在实践中相关,是热噪声或广义振幅阻尼噪声,描述了在任意温度下与热浴的相互作用。然而,量子热噪声不能与少数基本的保利操作员建模或直接模拟,而是需要特定的操作员。我们的主要目标是构建一个电路模型,以模拟来自标准基本量子算子的热噪声。从基于KRAUS操作员的常见量子操作模型和相关的量子环境模型开始,我们为热噪声提供了适当的STINESPRING扩张表示。然后,该扩张的单一模型通过简单的基本量子算子进行分解,并根据基本量子门转换为电路。我们到达目标模拟器电路以进行热噪声,并易于对噪声参数进行易于控制。然后,在IBM-Q量子处理器上对噪声模拟器进行物理实现和测试。模拟器代表了量子处理器量子电路现有库的有用补充,它提供了一种新工具,用于研究量子信号和信息处理,必须应对热噪声。
Quantum noise or decoherence is a major factor impacting the performance of quantum technologies. On the qubit, an important quantum noise, often relevant in practice, is the thermal noise or generalized amplitude damping noise, describing the interaction with a thermal bath at an arbitrary temperature. A qubit thermal noise however cannot be modeled nor directly simulated with a few elementary Pauli operators, but instead requires specific operators. Our main goal here is to construct a circuit model for simulating the thermal noise from standard elementary qubit operators. Starting from a common quantum-operation model based on Kraus operators and an associated qubit-environment model, we derive a proper Stinespring dilated representation for the thermal noise. This dilated unitary model is then decomposed in terms of simple elementary qubit operators, and converted into a circuit based on elementary quantum gates. We arrive at our targeted simulator circuit for the thermal noise, coming with built-in easy control on the noise parameters. The noise simulator is then physically implemented and tested on an IBM-Q quantum processor. The simulator represents a useful addition to existing libraries of quantum circuits for quantum processors, and it offers a new tool for investigating quantum signal and information processing having to cope with thermal noise.