From 4bec4514cb27823e02d66ac8014401ae09502e3b Mon Sep 17 00:00:00 2001
From: "Victor V. Albert" <valbert4@gmail.com>
Date: Mon, 11 Mar 2024 18:14:42 -0400
Subject: [PATCH] twist defect 713, color 822

---
 .../small_distance/hypercube_quantum.yml      |  1 +
 .../small_distance/small/stab_15_7_3.yml      |  3 +-
 .../small_distance/small/stab_8_2_2.yml       | 31 +++++++++++++++++++
 .../surface/non-css/twist_defect_7_1_3.yml    | 29 +++++++++++++++++
 .../surface/non-css/twist_defect_surface.yml  |  3 ++
 5 files changed, 66 insertions(+), 1 deletion(-)
 create mode 100644 codes/quantum/qubits/small_distance/small/stab_8_2_2.yml
 create mode 100644 codes/quantum/qubits/stabilizer/topological/surface/non-css/twist_defect_7_1_3.yml

diff --git a/codes/quantum/qubits/small_distance/hypercube_quantum.yml b/codes/quantum/qubits/small_distance/hypercube_quantum.yml
index ece13928e..c0b37e8f9 100644
--- a/codes/quantum/qubits/small_distance/hypercube_quantum.yml
+++ b/codes/quantum/qubits/small_distance/hypercube_quantum.yml
@@ -12,6 +12,7 @@ introduced: '\cite{arxiv:1503.02065,manual:{E. Campbell, “The smallest interes
 
 alternative_names:
   - 'Hyperoctahedron code'
+  - 'Hyperoctahedron color code'
 # \cite{arxiv:2112.01446}
 
 description: |
diff --git a/codes/quantum/qubits/small_distance/small/stab_15_7_3.yml b/codes/quantum/qubits/small_distance/small/stab_15_7_3.yml
index bf7103dac..f92b846c7 100644
--- a/codes/quantum/qubits/small_distance/small/stab_15_7_3.yml
+++ b/codes/quantum/qubits/small_distance/small/stab_15_7_3.yml
@@ -9,7 +9,8 @@ logical: qubits
 
 name: '\([[15, 7, 3]]\) quantum Hamming code'
 short_name: '\([[15, 7, 3]]\)'
-introduced: '\cite{arxiv:quant-ph/9605021,manual:{Jim Harrington and Ben W. Reichardt, “Addressable multi-qubit logic via permutations,” Talk at Southwest Quantum Information and Technology (SQuInT) (2011).}}'
+introduced: '\cite{arxiv:quant-ph/9512032,arxiv:quant-ph/9605021,manual:{Jim Harrington and Ben W. Reichardt, “Addressable multi-qubit logic via permutations,” Talk at Southwest Quantum Information and Technology (SQuInT) (2011).}}'
+# First ref in https://arxiv.org/pdf/1912.10063.pdf
 
 description: 'Self-dual quantum Hamming code that admits permutation-based CZ logical gates.'
 
diff --git a/codes/quantum/qubits/small_distance/small/stab_8_2_2.yml b/codes/quantum/qubits/small_distance/small/stab_8_2_2.yml
new file mode 100644
index 000000000..7e7933f8d
--- /dev/null
+++ b/codes/quantum/qubits/small_distance/small/stab_8_2_2.yml
@@ -0,0 +1,31 @@
+#######################################################
+## This is a code entry in the error correction zoo. ##
+##       https://github.com/errorcorrectionzoo       ##
+#######################################################
+
+code_id: stab_8_2_2
+physical: qubits
+logical: qubits
+
+name: '\([[8,2,2]]\) color code'
+introduced: '\cite{arxiv:1612.04795}'
+
+description: |
+  An \([[8,2,2]]\) color code defined on the projective plane.
+
+features:
+  transversal_gates: 'Applying transversal \(S\) and \(S^{\dagger}\), \(\sqrt{X}\), and Hadamard gates yields various logical gates \cite{arxiv:1912.10063}.'
+
+relations:
+  parents:
+    - code_id: color
+    - code_id: small_distance_quantum
+  cousins:
+    - code_id: 'The Shor code (\([[8,2,2]]\) color code) is a surface (color) code defined on the projective plane.'
+
+
+# Begin Entry Meta Information
+_meta:
+  changelog:
+    - user_id: VictorVAlbert
+      date: '2024-02-13'
diff --git a/codes/quantum/qubits/stabilizer/topological/surface/non-css/twist_defect_7_1_3.yml b/codes/quantum/qubits/stabilizer/topological/surface/non-css/twist_defect_7_1_3.yml
new file mode 100644
index 000000000..f892380c0
--- /dev/null
+++ b/codes/quantum/qubits/stabilizer/topological/surface/non-css/twist_defect_7_1_3.yml
@@ -0,0 +1,29 @@
+#######################################################
+## This is a code entry in the error correction zoo. ##
+##       https://github.com/errorcorrectionzoo       ##
+#######################################################
+
+code_id: twist_defect_7_1_3
+physical: qubits
+logical: qubits
+
+name: '\([[7,1,3]]\) twist-defect surface code'
+introduced: '\cite{arxiv:1612.04795}'
+
+description: |
+  A \([[7,1,3]]\) code different from the Steane code that is a small example of a twist-defect surface code.
+
+features:
+  transversal_gates: 'Single-qubit octahedral Clifford gates \cite{arxiv:1612.04795,arxiv:1912.10063}.'
+
+relations:
+  parents:
+    - code_id: twist_defect_surface
+    - code_id: small_distance_quantum
+
+
+# Begin Entry Meta Information
+_meta:
+  changelog:
+    - user_id: VictorVAlbert
+      date: '2024-02-13'
diff --git a/codes/quantum/qubits/stabilizer/topological/surface/non-css/twist_defect_surface.yml b/codes/quantum/qubits/stabilizer/topological/surface/non-css/twist_defect_surface.yml
index d59fca09a..5a526c6ba 100644
--- a/codes/quantum/qubits/stabilizer/topological/surface/non-css/twist_defect_surface.yml
+++ b/codes/quantum/qubits/stabilizer/topological/surface/non-css/twist_defect_surface.yml
@@ -11,6 +11,9 @@ name: 'Twist-defect surface code'
 introduced: |
   \cite{arxiv:1004.1838,arxiv:1612.04795,arxiv:1806.02820,arxiv:2101.09349}
 
+alternative_names:
+  - 'Surface code with a twist'
+
 description: |
   A non-CSS extension of the 2D surface-code construction whose non-CSS stabilizer generators are associated with twist defects of the associated lattice.