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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.

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Paper 2

Subwavelength vacuum lattices and atom-atom interactions in photonic crystals

A. González-Tudela, C. -L. Hung, D. E. Chang, J. I. Cirac, H. J. Kimble

Year

2014

Journal

arXiv preprint

DOI

arXiv:1407.7336

arXiv

1407.7336

We propose the use of photonic crystal structures to design subwavelength optical lattices in two dimensions for ultracold atoms by using both Guided Modes and Casimir-Polder forces. We further show how to use Guided Modes for photon-induced large and strongly long-range interactions between trapped atoms. Finally, we analyze the prospects of this scheme to implement spin models for quantum simulation

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