论文标题
Qudit稳定器代码的Narain CFT
Narain CFTs from qudit stabilizer codes
论文作者
论文摘要
我们用Qudit（包括Qubit）系统的量子稳定器代码构建了Narain CFT的离散子集，其尺寸为质量数字。我们的建筑利用了三个重要关系。第一个关系是在Qudit稳定器代码和经典代码之间。第二个是在古典代码和洛伦兹晶格之间。第三个是在Lorentzian Lattices和Narain CFT之间。特别是，我们将Qudit Calderbank-s-s-s-s-steane（CSS）代码作为特殊类别的Qudit稳定器代码以及由CSS代码构建的Narain Code CFT的集合。我们在集合上获得了平均分区功能的确切结果，并讨论了它们对全息偶性的影响。
We construct a discrete subset of Narain CFTs from quantum stabilizer codes with qudit (including qubit) systems whose dimension is a prime number. Our construction exploits three important relations. The first relation is between qudit stabilizer codes and classical codes. The second is between classical codes and Lorentzian lattices. The third is between Lorentzian lattices and Narain CFTs. In particular, we study qudit Calderbank-Shor-Steane (CSS) codes as a special class of qudit stabilizer codes and the ensembles of the Narain code CFTs constructed from CSS codes. We obtain exact results for the averaged partition functions over the ensembles and discuss their implications for holographic duality.
