higher_dimensional_toric

codes/quantum/qubits/stabilizer/topological/surface/higher_d/higher_dimensional_toric.yml

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+#######################################################
+## This is a code entry in the error correction zoo. ##
+##       https://github.com/errorcorrectionzoo       ##
+#######################################################
+
+code_id: higher_dimensional_toric
+physical: qubits
+logical: qubits
+
+name: '\(D\)-dimensional twisted toric code'
+introduced: '\cite{arxiv:1608.05089}'
+
+description: |
+  Extenstion of the Kitaev toric code to higher-dimensional lattices with shifted (a.k.a twisted) boundary conditions.
+  Such boundary conditions yields quibit geometries that are tori \(\mathbb{R}^D/\Lambda\), where \(\Lambda\) is an arbitrary \(D\)-dimensional lattice.
+  Picking a hypercubic lattice yields the ordinary \(D\)-dimensional toric code.
+  It is conjectured that appropriate twisted boundary conditions yield multi-dimensional toric code families with linear distance and logarithmic-weight stabilizer generators \cite{arxiv:1608.05089}.
+
+
+relations:
+  parents:
+    - code_id: higher_dimensional_surface
+  cousins:
+    - code_id: qldpc
+      detail: 'It is conjectured that appropriate twisted boundary conditions yield multi-dimensional toric code families with linear distance and logarithmic-weight stabilizer generators \cite{arxiv:1608.05089}.'
+
+
+# Begin Entry Meta Information
+_meta:
+  # Change log - most recent first
+  changelog:
+    - user_id: VictorVAlbert
+      date: '2024-05-03'