Compare Papers

Paper 1

New circuits and an open source decoder for the color code

Craig Gidney, Cody Jones

Year

2023

Journal

arXiv preprint

DOI

arXiv:2312.08813

arXiv

2312.08813

We present two new color code circuits: one inspired by superdense coding and the other based on a middle-out strategy where the color code state appears halfway between measurements. We also present ``Chromobius'', an open source implementation of the möbius color code decoder. Using Chromobius, we show our new circuits reduce the performance gap between color codes and surface codes. Under uniform depolarizing noise with a noise strength of $0.1\%$, the middle-out color code circuit achieves a teraquop footprint of 1250 qubits (vs 650 for surface codes decoded by correlated matching). Finally, we highlight that Chromobius decodes toric color codes better when given *less* information, suggesting there's substantial room for improvement in color code decoders.

Open paper

Paper 2

Reduced relative quantum entropy

Frank Hansen

Year

2022

Journal

arXiv preprint

DOI

arXiv:2209.06118

arXiv

2209.06118

We introduce the notion of reduced relative quantum entropy and prove that it is convex. This result is then used to give a simplified proof of a theorem of Lieb and Seiringer.

Open paper