From ab6529244622a504f3e591af555839abd31cc545 Mon Sep 17 00:00:00 2001 From: "Victor V. Albert" Date: Thu, 8 Feb 2024 17:14:08 -0500 Subject: [PATCH] chamon, HH --- .../qubits/stabilizer/fracton/chamon.yml | 29 ++++++++++++++++++ .../stabilizer/fracton/checkerboard.yml | 3 +- .../qubits/stabilizer/fracton/hh_fracton.yml | 30 +++++++++++++++++++ 3 files changed, 61 insertions(+), 1 deletion(-) create mode 100644 codes/quantum/qubits/stabilizer/fracton/chamon.yml create mode 100644 codes/quantum/qubits/stabilizer/fracton/hh_fracton.yml diff --git a/codes/quantum/qubits/stabilizer/fracton/chamon.yml b/codes/quantum/qubits/stabilizer/fracton/chamon.yml new file mode 100644 index 000000000..792368ea9 --- /dev/null +++ b/codes/quantum/qubits/stabilizer/fracton/chamon.yml @@ -0,0 +1,29 @@ +####################################################### +## This is a code entry in the error correction zoo. ## +## https://github.com/errorcorrectionzoo ## +####################################################### + +code_id: chamon +physical: qubits +logical: qubits + +name: 'Chamon model code' +introduced: '\cite{arXiv:cond-mat/0404182,arXiv:1006.4871}' + +description: | + A foliated type-I fracton non-CSS code defined on a cubic lattice using one weight-eight stabilizer generator acting on the eight vertices of each cube in the lattice \cite[Eq. (D38)]{arxiv:1908.08049}. + + Variants include a CSS model that is expected to have the same excitation structure \cite{arXiv:1603.04442}. + + +relations: + parents: + - code_id: qubit_stabilizer + - code_id: fracton + detail: 'The Chamon model is a foliated type-I fracton code and is the first example of a fracton phase \cite{arxiv:1908.08049}.' + + +_meta: + changelog: + - user_id: VictorVAlbert + date: '2024-02-08' diff --git a/codes/quantum/qubits/stabilizer/fracton/checkerboard.yml b/codes/quantum/qubits/stabilizer/fracton/checkerboard.yml index abd701b22..aaec85481 100644 --- a/codes/quantum/qubits/stabilizer/fracton/checkerboard.yml +++ b/codes/quantum/qubits/stabilizer/fracton/checkerboard.yml @@ -11,7 +11,8 @@ name: 'Checkerboard model code' introduced: '\cite{arXiv:1505.02576}' description: | - A foliated type-I fracton code defined on a cubic lattice that admits weight-eight \(X\)- and \(Z\)-type stabilizer generators on cubes of the lattice. + A foliated type-I fracton code defined on a cubic lattice that admits weight-eight \(X\)- and \(Z\)-type stabilizer generators on the eight vertices of each cube in the lattice. + Variants include the twisted checkerboard model \cite{arxiv:1805.06899}. features: diff --git a/codes/quantum/qubits/stabilizer/fracton/hh_fracton.yml b/codes/quantum/qubits/stabilizer/fracton/hh_fracton.yml new file mode 100644 index 000000000..18859bdb5 --- /dev/null +++ b/codes/quantum/qubits/stabilizer/fracton/hh_fracton.yml @@ -0,0 +1,30 @@ +####################################################### +## This is a code entry in the error correction zoo. ## +## https://github.com/errorcorrectionzoo ## +####################################################### + +code_id: hh_fracton +physical: qubits +logical: qubits + +name: 'Hsieh-Halasz (HH) code' +short_name: 'HH' +introduced: '\cite{arXiv:1703.02973}' + +description: | + Member of one of two families of fracton codes, named HH-I and HH-II, defined on a cubic lattice with two qubits per site. + HH-I (HH-II) is a CSS (non-CSS) stabilizer code family, with the former identified as a foliated type-I fracton code \cite{arxiv:1908.08049}. + + + +relations: + parents: + - code_id: qubit_stabilizer + - code_id: fracton + detail: 'Both HH-I and HH-II are fracton codes, with HH-I identified as a foliated type-I fracton code \cite{arxiv:1908.08049}.' + + +_meta: + changelog: + - user_id: VictorVAlbert + date: '2024-02-08'