这是对研究兴趣的一般性介绍,供非专业访客了解。专业访客可参考研究页面。
容错量子计算
容错量子计算旨在基于有噪声的硬件实现实用的量子逻辑线路,这里仍有很多值得探究的理论和工程问题。工程问题包括和实际平台结合,设计更高效的容错方案,例如如何更高效地制备精确的魔态。理论问题包括研究纠错码内部深刻的数学结构和物理图像,例如纠错码参数与同调代数、代数几何结构的联系,例如纠错码的拓扑纠缠熵等。
对于该主题的思考,可参阅博客有关量子纠错的文章。
拓扑量子物态
物理学中很多深刻的现象源自系统的拓扑性质。拓扑量子物态最迷人的性质在于,一些全局的拓扑性质精确地决定了量子态基态和激发的结构,使系统展现出奇特的纠缠和准粒子性质。这些性质从物理上看,是从多体相互作用演生出的新奇物理,从量子信息的视角看,也能给容错量子计算提供很多启发。
量子模拟
量子模拟旨在在高度可控的原子-激光平台上研究物理模型。能够精确地操控单个原子并调节原子间相互作用是人类现代科学最耀眼的成就之一。精确可调的原子-光系统让我们可以在更纯净的条件下模拟很多量子模型,光镊-原子阵列体系也是当下量子计算最有竞争力的实现方案之一。
This is a popular version. For professional details, see the Research page.
Fault-Tolerant Quantum Computation
Fault-tolerant quantum computing aims to realize practical quantum logic circuits based on noisy hardware. Numerous theoretical and engineering challenges remain to be explored. Engineering issues involve integrating with practical platforms and designing more efficient fault-tolerant schemes, such as how to prepare accurate magic states more efficiently. Theoretical problems include investigating the profound mathematical structures and physical pictures within quantum error-correcting codes. For instance, this involves studying the relationship between code parameters and structures from homological algebra and algebraic geometry, as well as properties like the topological entanglement entropy of the codes.
Notes on this topic are collected in the blog tag for quantum error correction.
Topological Phases of Matter
Many profound physical phenomena originate from the topological properties of a system. The most fascinating aspect of topological states of matter is that certain global topological properties precisely determine the structure of the ground state and its excitations, leading the system to exhibit interesting entanglement and quasiparticle characteristics. From a physical perspective, these properties emerge from complex many-body interactions, representing novel physical behaviour. From the viewpoint of quantum information, they also provide significant inspiration for fault-tolerant quantum computing.
Quantum Simulation
Quantum simulation aims to study physical models on highly controllable atom-laser platforms. The ability to precisely manipulate individual atoms and tune the interactions between them is one of the most remarkable achievements of modern science. These precisely tunable atom-optical systems allow us to simulate various quantum models under exceptionally clean conditions. The optical tweezer-atom array architecture is also one of the most competitive platforms for realizing quantum computing today.