~

codes/quantum/properties/qecc_finite.yml

@@ -37,7 +37,7 @@ protection: |
   \end{defterm}
   
   The Knill-Laflamme conditions can alternatively be expressed in terms of the \hyperref[topic:complementary-channel]{complementary channel}, in an entropic information-theoretic way via a data processing inequality \cite{arxiv:quant-ph/9604022,arxiv:quant-ph/9604034,arxiv:quant-ph/9702031,arxiv:quant-ph/9707023,arxiv:quant-ph/0304007}, or can be interpreted thermodynamically \cite{arxiv:quant-ph/0202054}.
-  They motivate higher-rank numerical ranges, which are generalizations of the numerical range of an operator \cite{arxiv:quant-ph/0511101,arxiv:math/0511278}.
+  They motivate higher-rank numerical ranges, which are generalizations of the numerical range of an operator \cite{arxiv:quant-ph/0511101,arxiv:math/0511278,arxiv:1407.1350}.
   They have been extended to sequences of multiple errors and rounds of correction \cite{arxiv:2405.17567}.
 
   \begin{defterm}{Degeneracy}

codes/quantum/qubits/stabilizer/convolutional/quantum_convolutional.yml

@@ -24,7 +24,7 @@ features:
     - 'Quantum shift register encoding \cite{arxiv:0903.3894}.'
     - 'Encoding circuits can be viewed as matrix-product-state tensor networks \cite{arxiv:1312.4578}.'
   decoders:
-    - 'Quantum Viterbi decoder \cite{arxiv:arxiv:quant-ph/9806032,arxiv:quant-ph/0304189,arxiv:quant-ph/0401134}.'
+    - 'Quantum Viterbi decoder \cite{arxiv:quant-ph/9806032,arxiv:quant-ph/0304189,arxiv:quant-ph/0401134}.'
     - 'ML decoder \cite{arxiv:quant-ph/0304189}.'
 
 notes:

codes/quantum/qubits/stabilizer/convolutional/quantum_turbo.yml

@@ -19,6 +19,8 @@ features:
   decoders:
     - 'Turbo decoder \cite[Sec. V]{arxiv:0712.2888}.'
     - 'Modified decoder yields improvement over the memoryless depolarizing channel \cite{arxiv:1010.1256}.'
+    - 'EXIT charts \cite{arxiv:1502.00910}.'
+
 
 relations:
   parents:

codes/quantum/qubits/stabilizer/qubit_css.yml

@@ -114,6 +114,7 @@ features:
   magic_scaling_exponent: 'Various self-dual CSS codes yield magic-state distillation protocols whose yield parameter \(\gamma \to 1^{+}\) \cite[Thms. 4.1 and 4.2]{arxiv:1703.07847}\cite{arxiv:1709.02789}.'
 
   encoders:
+    - 'Steane Latin-rectangle encoder \cite{arxiv:quant-ph/0202036}.'
     - 'Stabilizer measurement \cite{arxiv:1404.2495}.'
     - 'Clusterization, i.e., measurement of a particular cluster state \cite{arxiv:1607.02579}.'
     - 'Entanglement purification \cite{arxiv:quant-ph/0210069}.'

codes/quantum/qubits/stabilizer/qubit_stabilizer.yml

@@ -168,7 +168,7 @@ features:
     - 'Logical Clifford gates can be performed by physical Clifford circuits that permute logical Pauli operators \cite{arxiv:1803.06987}.'
     - 'With pieceable fault-tolerance, any \hyperref[topic:degeneracy]{non-degenerate} stabilizer code with a complete set of fault-tolerant single-qubit Clifford gates has a universal set of non-transversal fault-tolerant gates \cite{arxiv:1603.03948}.'
     - 'Non-Clifford gates can be done using \textit{gate teleportation}, in which a gate can be obtained from a particular \textit{magic state} (a.k.a. resource state) \cite{arxiv:quant-ph/9908010,arxiv:quant-ph/0002039}. Such protocols can be made fault tolerant with the help of magic-state distillation \cite{arxiv:quant-ph/0403025,arxiv:quant-ph/0410199}. There exist various performance metrics for magic-state distillation \cite{arxiv:quant-ph/9806094,arxiv:1807.10296,arxiv:1901.03322,arxiv:1904.01124} focusing mostly on distilling \(T\) gates. This Clifford+T gate set is self-testable \cite{arxiv:quant-ph/9904108}. Gate errors in magic-state distillation protocols can sometimes add up destructively \cite{arxiv:1612.01011}. The Hadamard gate cannot be obtained from a magic state \cite{arxiv:2312.03515}. A magic state arising from a generalized controlled \(Z\) gate is a type of hypergraph state \cite{arxiv:1211.5554,arxiv:1404.6492,arxiv:1410.3904} (see \cite{arxiv:2310.16982,arxiv:2404.19005}). The Toffoli gate can be distilled from a particular two-qubit state \cite{arxiv:quant-ph/9905027}. Magic-state protocol fidelity is upper bounded by the fidelity of protocols that have undergone stabilizer reduction, and there exist non-distillable states outside of the stabilizer octahedron \cite{arxiv:0908.0836,arxiv:0908.0838}.'
-    - 'Certain operations can be implemented in a fault-tolerant version \cite{arxiv:0806.0875,arxiv:0904.2143} of holonomic quantum computation \cite{arxiv:quant-ph/9904011}.'
+    - 'Certain operations can be implemented in a fault-tolerant version \cite{arxiv:0806.0875,arxiv:0904.2143,arxiv:1312.0165} of holonomic quantum computation \cite{arxiv:quant-ph/9904011}.'
     - 'Magic-state distillation and circuit compilation based on the SWAP test \cite{arxiv:1403.5280}.'
     - 'Logical circuit synthesis (LCS) taking in a code and a logical Clifford operation and producing a circuit acting on the physical qubits \cite{arxiv:1907.00310}.'
     - 'Clifford stabilizer circuits can be compiled using tableau manipulation \cite{arxiv:2404.19408}.'

codes/quantum/qubits/stabilizer/rm/quantum_hamming_css.yml

@@ -22,7 +22,6 @@ features:
   transversal_gates:
     - 'Pauli, Hadamard, and CNOT gates.'
   decoders:
-    - 'Latin rectangle encoder \cite{arxiv:quant-ph/0202036}.'
     - 'Efficient decoder \cite{arxiv:2207.08826}.'
   fault_tolerance:
     - 'Syndrome measurement can be done with two ancillary flag qubits \cite{arxiv:1705.02329}.'