论文标题
多维黑空间及其基础的对称性：朝向耗散量子箱
Multidimensional dark space and its underlying symmetries: towards dissipation-protected qubits
论文作者
论文摘要
量子系统始终与环境相互作用，通常导致量子相关性的破坏和失真。最近已经显示，与环境的受控互动实际上可能有助于创建一种称为{\ em``dark''}的状态，该状态不受腐烂的影响。为了在黑暗状态中编码量子信息，它们需要跨越大于一个维度的空间，因此不同的正交状态可作为计算基础。我们设计了一个基于对称性的概念框架，以设计这种堕落的黑暗空间（DDS），并免受环境的腐蚀。我们使用模型协议说明了这种结构，灵感来自分数量子厅效应，在该量子基础上，DDS基础与一组退化的Laughlin状态同构。我们驱动的驱动模型的长期稳态表现出了单一拓扑系统的堕落真空的所有特征。这种方法为开放系统中的存储，保护和操纵量子信息提供了新的可能性。
Quantum systems are always subject to interactions with an environment, typically resulting in decoherence and distortion of quantum correlations. It has been recently shown that a controlled interaction with the environment may actually help to create a state, dubbed as {\em ``dark''}, which is immune to decoherence. To encode quantum information in the dark states, they need to span a space with a dimensionality larger than one, so different orthogonal states act as a computational basis. We devise a symmetry-based conceptual framework to engineer such degenerate dark spaces (DDS), protected from decoherence by the environment. We illustrate this construction with a model protocol, inspired by the fractional quantum Hall effect, where the DDS basis is isomorphic to a set of degenerate Laughlin states. The long-time steady state of our driven-dissipative model exhibits thus all the characteristics of degenerate vacua of a unitary topological system. This approach offers new possibilities for storing, protecting and manipulating quantum information in open systems.
