Compare Papers

Paper 1

Dynamic local single-shot checks for toric codes

Yingjia Lin, Abhinav Anand, Kenneth R. Brown

Year

2025

Journal

arXiv preprint

DOI

arXiv:2511.20576

arXiv

2511.20576

Quantum error correction typically requires repeated syndrome extraction due to measurement noise, which results in substantial time overhead in fault-tolerant computation. Single-shot error correction aims to suppress errors using only one round of syndrome extraction. However, for most codes, it requires high-weight checks, which significantly degrade, and often eliminate, single-shot performance at the circuit level. In this work, we introduce local single-shot checks, where we impose constraints on check weights. Using a dynamic measurement scheme, we show that the number of required measurement rounds can be reduced by a factor determined by this constraint. As an example, we show through numerical simulation that our scheme can improve decoding performance compared to conventional checks when using sliding-window decoding with a reduced window size under circuit-level noise models for toric codes. Our work provides a new direction for constructing checks that can reduce time overhead in large-scale fault-tolerant quantum computation.

Open paper

Paper 2

Localization of low-energy eigenfunctions in Seba billiards

Minjae Lee

Year

2014

Journal

arXiv preprint

DOI

arXiv:1407.7077

arXiv

1407.7077

We investigate localization of low-energy modes of the Laplacian with a point scatterer on a rectangular plate. We observe that the point scatterer acts as a barrier confining the low-level modes to one side of the plate while assuming the Dirichlet boundary condition at a point does not induce this type of localization. This low-energy phenomenon extends to higher modes as we increase the eccentricity of the plate.

Open paper