From 2dd928836c3e0e7cd588275842e45c1c1b9f441c Mon Sep 17 00:00:00 2001 From: "Victor V. Albert" Date: Mon, 1 Jul 2024 18:05:19 -0400 Subject: [PATCH] ~ --- .../qubits/stabilizer/holographic/holographic_5_1_2.yml | 6 ++++++ 1 file changed, 6 insertions(+) diff --git a/codes/quantum/qubits/stabilizer/holographic/holographic_5_1_2.yml b/codes/quantum/qubits/stabilizer/holographic/holographic_5_1_2.yml index e59439e01..93ae37866 100644 --- a/codes/quantum/qubits/stabilizer/holographic/holographic_5_1_2.yml +++ b/codes/quantum/qubits/stabilizer/holographic/holographic_5_1_2.yml @@ -13,8 +13,14 @@ introduced: '\cite{arxiv:2008.10206}' description: | Holographic tensor-network code constructed out of a network of encoding isometries of the \([[5,1,2]]\) rotated surface code. + The structure of the isometry is similar to that of the HaPPY code since both isometries are rank-six tensors. + In the case of the SCF holographic code, the isometry is only a block-perfect tensor (as opposed to a \hyperref[topic:ame]{perfect tensor}). +features: + threshold: + - '\(7.1\%\) and \(8.2\%\) for even and odd raddi reduced-rate codes, respectively, under depolarising using the integer optimization decoder \cite{arxiv:2008.10206}' + relations: parents: - code_id: holographic_tensor