Rhombic dodecahedron surface

codes/quantum/oscillators/fock_state/rotation/binomial.yml

@@ -44,6 +44,7 @@ features:
 
 realizations:
   - 'Microwave cavities coupled to superconducting circuits: state transfer between a binomial codeword to another system \cite{arxiv:1712.05832}, error-correction protocol nearly reaching break-even \cite{arxiv:1805.09072}, and a teleported CNOT gate \cite{arxiv:1810.04690}. A realization of the "0-2-4" encoding is the first to go beyond break-even error-correction and yields a logical lifetime that exceeds the cavity lifetime by \(16\%\) \cite{arxiv:2211.09319} (see also \cite{arxiv:2211.09116}).'
+  - 'Motional degree of freedom of a trapped ion: binomial state preparation for \(S=2\) realized by Tan group \cite{arxiv:2310.15546}.'
 
 notes:
   - 'The mean occupation number, or average Fock-state number in maximally-mixed state of the code, is \((N+1)(S+1)(q-1)/2 \), where \(q\) is the qudit dimension.'

codes/quantum/oscillators/stabilizer/lattice/gkp.yml

@@ -51,7 +51,7 @@ notes:
   - 'Reviews on GKP codes presented in Refs. \cite{arxiv:2002.11008,arXiv:2106.12989}.'
 
 realizations:
-  - 'Motional degree of freedom of a trapped ion: square-lattice GKP encoding realized with the help of post-selection \cite{arxiv:1807.01033,arXiv:1907.06478}, followed by realization of reduced form of GKP error correction, where displacement error syndromes are measured to one bit of precision using an ion electronic state \cite{arxiv:2010.09681}.'
+  - 'Motional degree of freedom of a trapped ion: square-lattice GKP encoding realized with the help of post-selection by Home group \cite{arxiv:1807.01033,arXiv:1907.06478}, followed by realization of reduced form of GKP error correction, where displacement error syndromes are measured to one bit of precision using an ion electronic state \cite{arxiv:2010.09681}. State preparation also realized by Tan group \cite{arxiv:2310.15546}.'
   - 'Microwave cavity coupled to superconducting circuits: reduced form of square-lattice GKP error correction, where displacement error syndromes are measured to one bit of precision using an ancillary transmon \cite{arxiv:1907.12487}. Subsequent paper by Devoret group \cite{arxiv:2211.09116} (see also \cite{arxiv:2310.11400}) uses reinforcement learning for error-correction cycle design and is the first to go beyond break-even error-correction, with the lifetime of a logical qubit exceeding the cavity lifetime by about a factor of two (see also \cite{arxiv:2211.09319}).'
   - 'GKP states and homodyne measurements have been realized in propagating telecom light by the Furusawa group \cite{arxiv:2309.02306}.'
   - 'Single-qubit \(Z\)-gate has been demonstrated in the single-photon subspace of an infinite-mode space \cite{arxiv:1904.01351}, in which time and frequency become bosonic conjugate variables of a single effective bosonic mode.'

codes/quantum/qubits/stabilizer/topological/surface/two_dim/rhombic_dodecahedron_surface.yml

@@ -0,0 +1,30 @@
+#######################################################
+## This is a code entry in the error correction zoo. ##
+##       https://github.com/errorcorrectionzoo       ##
+#######################################################
+
+code_id: rhombic_dodecahedron_surface
+physical: qubits
+logical: qubits
+
+name: 'Rhombic dodecahedron surface code'
+introduced: '\cite{arXiv:2010.06628}'
+
+description: |
+  A \([[14,3,3]]\) non-CSS surface code whose qubits lie on the vertices of a rhombic dodecahedron. Its non-CSS nature is due to twist defects \cite{arxiv:1004.1838} stemming from the geomtetry of the polytope.
+
+relations:
+  parents:
+    - code_id: clifford-deformed_surface
+    - code_id: small_distance
+  cousins:
+    - code_id: polytope
+      detail: 'The rhombic dodecahedron surface code arranges qubits and stabilizer generators on polytopes.'
+
+
+# Begin Entry Meta Information
+_meta:
+  # Change log - most recent first
+  changelog:
+    - user_id: VictorVAlbert
+      date: '2023-10-25'

codes/quantum/qubits/stabilizer/topological/surface/two_dim/stellated_dodecahedron_css.yml

@@ -10,8 +10,11 @@ logical: qubits
 name: 'Bring''s code'
 introduced: '\cite{arXiv:1712.07666}'
 
+alternative_names:
+  - 'Small stellated dodecahedron code'
+
 description: |
-  Also called a \textit{small stellated dodecahedron code}. A \([[30,8,3]]\) hyperbolic surface code on a quotient of the \(\{5,5\}\) hyperbolic tiling called Bring's curve.
+  A \([[30,8,3]]\) hyperbolic surface code on a quotient of the \(\{5,5\}\) hyperbolic tiling called Bring's curve.
   Its qubits and stabilizer generators lie on the vertices of the small stellated dodecahedron. Admits a set of weight-five stabilizer generators.
 
 relations:
@@ -20,7 +23,7 @@ relations:
     - code_id: small_distance
   cousins:
     - code_id: polytope
-      detail: 'The stellated dodecahedron quantum code and related codes listed in \cite[Table 1]{arXiv:1712.07666} arranges qubits and stabilizer generators on polytopes.'
+      detail: 'Bring''s code and related codes listed in \cite[Table 1]{arXiv:1712.07666} arrange qubits and stabilizer generators on polytopes.'
 
 
 # Begin Entry Meta Information