majorana surface + color

codes/quantum/qubits/fermions/majorana_color.yml

@@ -0,0 +1,38 @@
+#######################################################
+## This is a code entry in the error correction zoo. ##
+##       https://github.com/errorcorrectionzoo       ##
+#######################################################
+
+code_id: majorana_color
+physical: qubits
+logical: qubits
+
+name: 'Majorana color code'
+introduced: '\cite{arxiv:1004.3791,arxiv:1703.00612,arxiv:1801.08143}'
+
+description: |
+  Majorana analogue of the color code defined on a 2D tricolorable lattice and constructed out of Majorana box qubit codes placed on patches of the lattice.
+
+features:
+  general_gates:
+    - 'Ordinary and twist-based lattice surgery \cite{arxiv:1801.08143} (see also \cite{arxiv:2211.11777}).'
+  fault_tolerance:
+    - 'Ordinary and twist-based lattice surgery can be made fault tolerant \cite{arxiv:1801.08143} (see also \cite{arxiv:2211.11777}).'
+
+
+relations:
+  parents:
+    - code_id: majorana_stab
+  cousins:
+    - code_id: 2d_color
+      detail: 'The Majorana color code is a Majorana stabilizer analogue of the 2D color code.'
+    - code_id: mbq
+      detail: 'Majorana box qubits, such as hexons, tetrons, octons, and decons, are placed onto patches of a 2D lattice to form Majorana color codes \cite[Table I]{arxiv:1801.08143}.'
+
+
+# Begin Entry Meta Information
+_meta:
+  # Change log - most recent first
+  changelog:
+    - user_id: VictorVAlbert
+      date: '2024-02-27'

codes/quantum/qubits/fermions/majorana_stab.yml

@@ -8,14 +8,13 @@ physical: qubits
 logical: qubits
 
 name: 'Majorana stabilizer code'
-
 introduced: '\cite{arXiv:1004.3791}'
 
 description: |
   A stabilizer code whose stabilizers are products of an even number of Majorana fermion operators, analogous to Pauli strings for a traditional stabilizer code and referred to as \textit{Majorana stabilizers}.
   The codespace is the mutual \(+1\) eigenspace of all Majorana stabilizers.
   In such systems, Majorana fermions may either be considered individually or paired into creation and annihilation operators for fermionic modes.
-  Codes can be denoted as \([[n,k,d]]_{f}\) \cite{arXiv:1703.00459}, where \(n\) is the number of fermionic modes.
+  Codes can be denoted as \([[n,k,d]]_{f}\) \cite{arXiv:1703.00459}, where \(n\) is the number of fermionic modes (equivalently, \(2n\) Majorana modes).
 
   In some cases, Majorana-based stabilizer codes are designed to protect against fermionic noise \cite{arXiv:cond-mat/0010440} and are thus useful for physical platforms based on fermions.
   In other cases, Majorana-based frameworks are helpful for understanding conventional qubit stabilizer codes designed for qubit-based platforms.

codes/quantum/qubits/fermions/majorana_surface.yml

@@ -0,0 +1,39 @@
+#######################################################
+## This is a code entry in the error correction zoo. ##
+##       https://github.com/errorcorrectionzoo       ##
+#######################################################
+
+code_id: majorana_surface
+physical: qubits
+logical: qubits
+
+name: 'Majorana surface code'
+introduced: '\cite{arxiv:1504.01724,arxiv:1509.05345}'
+
+description: |
+  Majorana analogue of the surface code defined on a 2D lattice and constructed out of Majorana box qubit codes placed on patches of the lattice.
+
+features:
+  general_gates:
+    - 'Ordinary and twist-based lattice surgery \cite{arxiv:1801.08143} (see also \cite{arxiv:2211.11777}).'
+  fault_tolerance:
+    - 'Ordinary and twist-based lattice surgery can be made fault tolerant \cite{arxiv:1801.08143} (see also \cite{arxiv:2211.11777}).'
+
+
+
+relations:
+  parents:
+    - code_id: majorana_stab
+  cousins:
+    - code_id: surface
+      detail: 'The Majorana surface code is a Majorana stabilizer analogue of the surface code.'
+    - code_id: mbq
+      detail: 'Majorana box qubits, such as hexons, tetrons, octons, and dodecons, are placed onto patches of a 2D lattice to form Majorana surface codes \cite[Table I]{arxiv:1801.08143}.'
+
+
+# Begin Entry Meta Information
+_meta:
+  # Change log - most recent first
+  changelog:
+    - user_id: VictorVAlbert
+      date: '2024-02-27'

codes/quantum/qubits/fermions/mbq.yml

@@ -7,14 +7,15 @@ code_id: mbq
 physical: qubits
 logical: qubits
 
-name: 'Tetron Majorana code'
-short_name: 'Tetron'
+name: 'Majorana box qubit'
 introduced: '\cite{arXiv:cond-mat/0010440,arXiv:1609.01697,arxiv:1610.05289}'
 
 description: |
-  Also called a \textit{Majorana box qubit} or \textit{Majorana qubit}.
-  An \([[n,2,2]]_{f}\) Majorana stabilizer code forming the even-fermion-parity ground-state subspace of two parallel Kitaev Majorana chains in their fermionic topological phase.
-  An extension using three Kitaev chains and housing two logical qubits of the same parity is called the \textit{hexon Majorana code}.
+  An \([[n,1,2]]_{f}\) Majorana stabilizer code forming the even-fermion-parity ground-state subspace of two parallel Kitaev Majorana chains in their fermionic topological phase.
+  The \([[2,1,2]]_{f}\) version is called the \text{tetron Majorana code}.
+  An \([[3,2,2]]_{f}\) extension using three Kitaev chains and housing two logical qubits of the same parity is called the \textit{hexon Majorana code}.
+  Similarly, \textit{octon}, \textit{decon}, and \textit{dodecon} are codes defined by the positive-parity subspace of \(4\), \(5\), and \(6\) fermionic modes, respectively \cite{arxiv:1801.08143}.
+
 
 protection: |
   Single Majorana operators are detectable because they map the even-parity codespace into an odd-parity error space.