From d06ce8e6c7ffa07c4442113a6a26219f08b06f12 Mon Sep 17 00:00:00 2001 From: theow521 <149841594+theow521@users.noreply.github.com> Date: Sat, 29 Aug 2026 19:51:29 +0100 Subject: [PATCH] Update stab_15_1_3.yml The parameters of the punctured Reed-Muller code on line 20 were previously [15,5,8]. This is a typo. The [16,5,8] RM(1,4) code when punctured becomes a [15,5,7] RM*(1,4) code (see MacWilliams and Sloane Chapter 13). --- codes/quantum/qubits/small_distance/small/15/stab_15_1_3.yml | 4 +++- 1 file changed, 3 insertions(+), 1 deletion(-) diff --git a/codes/quantum/qubits/small_distance/small/15/stab_15_1_3.yml b/codes/quantum/qubits/small_distance/small/15/stab_15_1_3.yml index cc585331f..2fa5cdd53 100644 --- a/codes/quantum/qubits/small_distance/small/15/stab_15_1_3.yml +++ b/codes/quantum/qubits/small_distance/small/15/stab_15_1_3.yml @@ -17,7 +17,7 @@ alternative_names: description: | A \([[15,1,3]]\) quantum Reed-Muller code that is most easily thought of as a tetrahedral 3D color code. - It can be constructed as a CSS code from the \([15,5,8]\) punctured Reed-Muller code and its even subcode, which explains its transversal \(T^\dagger\) gate \cite{preset:GottesmanBook}. + It can be constructed as a CSS code from the \([15,5,7]\) punctured Reed-Muller code and its even subcode, which explains its transversal \(T^\dagger\) gate \cite{preset:GottesmanBook}. This code contains 15 qubits, represented by four vertices, four face centers, six edge centers, and one body center. The tetrahedron is cellulated into four identical polyhedron cells by connecting the body center to all four face centers, where each face center is then connected by three adjacent edge centers. @@ -106,6 +106,8 @@ relations: _meta: # Change log - most recent first changelog: + - user_id: theow521 + date: '2026-08-29' - user_id: VictorVAlbert date: '2026-06-08' - user_id: remmyzen