论文标题
最低Landau级别的量子误差校正
Quantum Error Correction in the Lowest Landau Level
论文作者
论文摘要
我们开发了Albert，Covey和Preskill（ACP）提出的量子误差校正代码的有限维版本，以在具有非亚伯对称组的配置空间上进行连续可变的量子计算。我们的代码可以通过球形几何形状在兰道水平上的带电粒子实现 - 与Gottesman，Kitaev和Preskill（GKP）的平面Landau级别实现相比，或更一般地由Spin Cooherent状态。我们的量子误差校正方案本质上是近似的，并且与GKP或ACP相比，编码状态更容易准备。
We develop finite-dimensional versions of the quantum error-correcting codes proposed by Albert, Covey, and Preskill (ACP) for continuous-variable quantum computation on configuration spaces with nonabelian symmetry groups. Our codes can be realized by a charged particle in a Landau level on a spherical geometry -- in contrast to the planar Landau level realization of the qudit codes of Gottesman, Kitaev, and Preskill (GKP) -- or more generally by spin coherent states. Our quantum error-correction scheme is inherently approximate, and the encoded states may be easier to prepare than those of GKP or ACP.
