From 837189c59efbc29c69c964a4002c07283b5749fd Mon Sep 17 00:00:00 2001 From: "Victor V. Albert" Date: Thu, 5 Sep 2024 13:56:46 -0400 Subject: [PATCH] toric stability refs --- .../stabilizer/topological/surface/2d_surface/toric/toric.yml | 2 ++ 1 file changed, 2 insertions(+) diff --git a/codes/quantum/qubits/stabilizer/topological/surface/2d_surface/toric/toric.yml b/codes/quantum/qubits/stabilizer/topological/surface/2d_surface/toric/toric.yml index 4c8677ca6..2c59c096d 100644 --- a/codes/quantum/qubits/stabilizer/topological/surface/2d_surface/toric/toric.yml +++ b/codes/quantum/qubits/stabilizer/topological/surface/2d_surface/toric/toric.yml @@ -37,6 +37,8 @@ description: | protection: | Toric code on an \(L\times L\) torus is a \([[2L^2,2,L]]\) CSS code. + Behavior under Hamiltonian \(X\)-type and \(Z\)-type perturbations is related to an anisotropic 3D gauge Higgs model \cite{arxiv:0804.3175,arxiv:1411.5815}. + Coherent physical errors are expected to become incoherent logical errors under syndrome measurement; see corroborating numerical studies performed via the Majorana mapping \cite{arxiv:1710.02270} as well as analytical bounds \cite{arxiv:1912.04319}. features: