From 505248c2cc4af094eccaa4ef3178b83c21c97611 Mon Sep 17 00:00:00 2001 From: "Victor V. Albert" Date: Tue, 13 Feb 2024 19:56:54 -0500 Subject: [PATCH] ~ --- codes/classical/groups/mixed/mixed.yml | 3 +++ codes/classical/q-ary_digits/projective/simplex.yml | 2 +- .../translationally_invariant_stabilizer.yml | 1 - 3 files changed, 4 insertions(+), 2 deletions(-) diff --git a/codes/classical/groups/mixed/mixed.yml b/codes/classical/groups/mixed/mixed.yml index 2c168a346..1c72fb330 100644 --- a/codes/classical/groups/mixed/mixed.yml +++ b/codes/classical/groups/mixed/mixed.yml @@ -11,6 +11,9 @@ name: 'Mixed code' description: 'Encodes \(K\) states (codewords) in a string of coordinates which takes values in more than one group.' +protection: | + The Hamming, Singleton, and Plotkin bounds are straightforwardly extended to mixed alphabets \cite[Thm. 5.1]{manual:{Cameron, Peter J. "Some bridges between codes and designs." Unpublished manuscript, Queen Mary and Westfield College, London (1998).}}. + relations: parents: - code_id: group_classical diff --git a/codes/classical/q-ary_digits/projective/simplex.yml b/codes/classical/q-ary_digits/projective/simplex.yml index 9d8579f9d..cdf297ca3 100644 --- a/codes/classical/q-ary_digits/projective/simplex.yml +++ b/codes/classical/q-ary_digits/projective/simplex.yml @@ -9,7 +9,7 @@ logical: q-ary_digits name: 'Simplex code' introduced: '\cite{doi:10.1111/j.1469-1809.1941.tb02298.x,doi:10.1111/j.1469-1809.1943.tb02332.x}' -# from Simplex codes over the ring F_2+uF_2 +# from Cameron, Peter J. "Some bridges between codes and designs." Unpublished manuscript, Queen Mary and Westfield College, London (1998). alternative_names: - 'Maximum-length feedback-shift-register code' diff --git a/codes/quantum/properties/stabilizer/topological_stabilizer/translationally_invariant_stabilizer.yml b/codes/quantum/properties/stabilizer/topological_stabilizer/translationally_invariant_stabilizer.yml index a116fb52a..ffa318e7a 100644 --- a/codes/quantum/properties/stabilizer/topological_stabilizer/translationally_invariant_stabilizer.yml +++ b/codes/quantum/properties/stabilizer/topological_stabilizer/translationally_invariant_stabilizer.yml @@ -47,7 +47,6 @@ features: Codes on a \(D\)-dimensional homogeneous Riemannian manifold with diameter \(L\) satisfy \(k = O(L^{D-2})\) \cite{arxiv:2009.13551}. \end{defterm} -features: decoders: - 'Clustering decoder \cite{doi:10.7907/AHMQ-EG82,arXiv:1112.3252}.' - 'Quantum neural-network (QNN) decoder \cite{arxiv:2401.06300}.'