~

codes/quantum/qubits/small_distance/small/shor_nine.yml

@@ -50,6 +50,8 @@ description: |
 protection: 'The code detects two-qubit errors or corrects an arbitrary single-qubit error.'
 
 features:
+  encoders:
+    - 'Fault-tolerant logical zero and logical plus state preparation \cite{arxiv:2402.17761}.'
   decoders:
     - 'Bit- and phase-flip circuits utilize CNOT and Hadamard gates (\cite{doi:10.1201/9781420012293}, Fig. 10.6).'
   fault_tolerance:

codes/quantum/qubits/small_distance/small/stab_5_1_3.yml

@@ -37,10 +37,10 @@ features:
     - 'Four generalized control gates, four Hadamard, and one \(Z\) gate \cite[Fig. 10.16]{doi:10.1201/9781420012293}.'
     - 'Four CNOT and five CPHASE gates \cite{arxiv:1509.01239}.'
     - 'Reinforcement learning encoding circuits \cite{arxiv:2402.17761}.'
+    - 'Fault-tolerant logical one and logical minus state preparation in all-to-all and 2D grid connectivity \cite{arxiv:2402.17761}.'
 
   transversal_gates:
-    - 'Pauli gates are transversal, along with a non-Pauli Hadamard-phase gate \(SH\) and three-qubit Clifford operation \(M_3\) \cite{arxiv:quant-ph/9702029,arxiv:quant-ph/9705052}.
-    These realize the \(2T\) binary tetrahedral subgroup of \(SU(2)\).'
+    - 'Pauli gates are transversal, along with a non-Pauli Hadamard-phase gate \(SH\) and three-qubit Clifford operation \(M_3\) \cite{arxiv:quant-ph/9702029,arxiv:quant-ph/9705052}. These realize the \(2T\) binary tetrahedral subgroup of \(SU(2)\).'
     - 'The code does not admit any non-Clifford transversal gates \cite{arxiv:quant-ph/9704043}; in particular, see \cite{arxiv:2011.00197} for the case of collective \(Z\) rotations.'
     - 'All transversal gates can be interpreted as monodromies under a particular notion of parallel transport \cite[Exam. 6.4.2]{arxiv:1309.7062}.'
 
@@ -57,8 +57,7 @@ features:
 
   fault_tolerance:
     - 'Pieceable fault-tolerant CZ, CNOT, and CCZ gates \cite{arxiv:1603.03948}.'
-    - 'Syndrome measurement can be done with two ancillary flag qubits \cite{arxiv:1705.02329}.
-    The depth of syndrome extraction circuits can be lowered by using past syndrome values \cite{arxiv:2305.00784}.'
+    - 'Syndrome measurement can be done with two ancillary flag qubits \cite{arxiv:1705.02329}. The depth of syndrome extraction circuits can be lowered by using past syndrome values \cite{arxiv:2305.00784}.'
     - 'Fault-tolerant logical one and logical minus state preparation in all-to-all and 2D grid connectivity \cite{arxiv:2402.17761}.'
 
 realizations:

codes/quantum/qubits/small_distance/small/steane/steane.yml

@@ -57,6 +57,7 @@ protection: 'The Steane code is a distance 3 code. It detects errors on 2 qubits
 features:
   encoders:
     - 'Nine CNOT and four Hadamard gates (\cite{doi:10.1201/9781420012293}, Fig. 10.14).'
+    - 'Fault-tolerant logical zero and logical plus state preparation on all-to-all and 2D grid qubit connectivity \cite{arxiv:2402.17761}.'
 
   transversal_gates:
     - 'All single-qubit Clifford gates, which realize the \(2O\) binary octahedral subgroup of \(SU(2)\) \cite{arxiv:quant-ph/9605011,arxiv:0706.1382}.'

codes/quantum/qubits/stabilizer/topological/color/3d_color/stab_15_1_3.yml

@@ -20,6 +20,9 @@ description: |
   The logical \(X\) is any weight-7 \(X\)-face of the entire tetrahedron.
 
 features:
+  encoders:
+    - 'Fault-tolerant logical zero and logical plus state preparation \cite{arxiv:2402.17761}.'
+
   magic_scaling_exponent: 'Magic-state yield parameter \( \gamma= \log_d (n/k)\approx 2.47\) \cite[Box 2]{arxiv:1612.07330}\cite{arxiv:1703.07847}.'
 
   transversal_gates:
@@ -34,8 +37,8 @@ features:
     - 'Numerical study of concatenated thresholds of logical CNOT gates for various codes against depolarizing noise \cite{arxiv:0711.1556}.'
 
   fault_tolerance:
-    - 'Fault-tolerant logical zero and logical plus state preparation \cite{arxiv:2402.17761}.'
     - 'A fault-tolerant universal gate set can be done via code switching between the Steane code and the \([[15,1,3]]\) code \cite{arxiv:1304.3709,arxiv:1403.2734,arxiv:1703.03860,arxiv:2210.14074}.'
+    - 'Fault-tolerant logical zero and logical plus state preparation \cite{arxiv:2402.17761}.'
 
 
 relations:

codes/quantum/qubits/stabilizer/topological/surface/2d_surface/surface-17.yml

@@ -19,6 +19,9 @@ protection: |
   Admits \hyperref[topic:pseudo-threshold]{pseudo-thresholds} of \(\sim 10^{-4}\) under depolarizing noise.
 
 features:
+  encoders:
+    - 'Measurement-free fault-tolerant logical zero state preparation in nearest-neighbor qubit connectivity \cite{arxiv:2303.17211}.'
+    - 'Fault-tolerant logical zero and logical plus state preparation in all-to-all and 2D grid connectivity with flag qubits \cite{arxiv:2402.17761}.'
   transversal_gates:
     - 'Pauli gates, CNOT gate, and \(H\) gate (with relabeling).'
   decoders: