From ebccefc7f08e34da3171ad6c495827f78290c9c4 Mon Sep 17 00:00:00 2001 From: VVA2024 Date: Tue, 20 Aug 2024 07:48:26 -0400 Subject: [PATCH] refs --- .../stabilizer/magic/k-orthogonal/quantum_triorthogonal.yml | 2 ++ .../stabilizer/qldpc/homological/balanced_product/lp/qcga.yml | 2 ++ .../stabilizer/topological/surface/higher_d/4d_surface.yml | 2 ++ 3 files changed, 6 insertions(+) diff --git a/codes/quantum/qubits/stabilizer/magic/k-orthogonal/quantum_triorthogonal.yml b/codes/quantum/qubits/stabilizer/magic/k-orthogonal/quantum_triorthogonal.yml index dde9e1337..e52a1a98f 100644 --- a/codes/quantum/qubits/stabilizer/magic/k-orthogonal/quantum_triorthogonal.yml +++ b/codes/quantum/qubits/stabilizer/magic/k-orthogonal/quantum_triorthogonal.yml @@ -45,6 +45,8 @@ relations: cousins: - code_id: quantum_reed_muller detail: 'Classification of triorthogonal codes yields a connection to Reed-Muller polynomials \cite{arxiv:2107.09684}.' + - code_id: self_dual + detail: 'Self-dual binary codes can be used to construct triorthogonal codes \cite{arxiv:2408.09685}.' # Begin Entry Meta Information diff --git a/codes/quantum/qubits/stabilizer/qldpc/homological/balanced_product/lp/qcga.yml b/codes/quantum/qubits/stabilizer/qldpc/homological/balanced_product/lp/qcga.yml index 36d7cc922..69e8c4dbf 100644 --- a/codes/quantum/qubits/stabilizer/qldpc/homological/balanced_product/lp/qcga.yml +++ b/codes/quantum/qubits/stabilizer/qldpc/homological/balanced_product/lp/qcga.yml @@ -19,6 +19,8 @@ description: | The qubit connectivity graph is not quite a 2D grid and is instead decomposable into two planar subgraphs of degree three; there exists an optimized layout minimizing Euclidean communication distance for check operators \cite{arxiv:2404.18809}. There are \(n\) \(X\) and \(Z\) check operators, with each one of weight six. + Several variants and generalizations exist \cite{arxiv:2406.19151,arxiv:2408.10001}. + protection: | Admits an \(0.8\%\) \hyperref[topic:pseudo-threshold]{pseudo-threshold} for circuit-level noise under BP-OSD decoder \cite{arxiv:2308.07915} (cf. \cite{arxiv:0803.0272}). diff --git a/codes/quantum/qubits/stabilizer/topological/surface/higher_d/4d_surface.yml b/codes/quantum/qubits/stabilizer/topological/surface/higher_d/4d_surface.yml index a3b36bd0a..3743037b0 100644 --- a/codes/quantum/qubits/stabilizer/topological/surface/higher_d/4d_surface.yml +++ b/codes/quantum/qubits/stabilizer/topological/surface/higher_d/4d_surface.yml @@ -36,6 +36,8 @@ features: - 'Only logical Clifford gates can be implemented transversally when defined on a hypercubic lattice \cite{arxiv:2010.02238}.' general_gates: - 'Logical \(CZ\), \(S\), and Hadamard gates when defined on a hypercubic lattice \cite{arxiv:2405.11719}.' + decoders: + - 'Measurement-free local error correction circuit (LEC) using reinforcement learning \cite{arxiv:2408.09524}.' code_capacity_threshold: - 'Independent \(X,Z\) noise: \(2.117\%\) with Hastings decoder \cite{arxiv:1609.00510} and \(7.3\%\) with RG decoder for 4D surface code \cite{arxiv:1708.09286}. It is conjectured via a statistical-mechanical mapping that the optimal ML decoder yields a threshold of \(11.003\%\) \cite{arxiv:hep-th/0310279}.'