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codes/quantum/qubits/small_distance/quantum_repetition.yml

@@ -55,7 +55,7 @@ realizations:
   - 'Trapped ions: 3-qubit bit-flip code by Wineland group \cite{doi:10.1038/nature03074}, and 3-qubit phase-flip algorithm implemented in 3 cycles on high fidelity gate operations \cite{doi:10.1126/science.1203329}.
   Both phase- and bit-flip codes for 31 qubits and their stabilizer measurements have been realized by Quantinuum \cite{arxiv:2305.03828}.
   Multiple rounds of Steane error correction \cite{arxiv:2312.09745}.'
-  - 'Superconducting circuits: 3-qubit phase-flip and bit-flip code by Schoelkopf group \cite{arxiv:1109.4948}; 3-qubit bit-flip code \cite{arxiv:1411.5542}; 3-qubit phase-flip code up to 3 cycles of error correction \cite{arxiv:1508.01388}; IBM 15-qubit device \cite{arxiv:1709.00990}; IBM Rochester device using 43-qubit code \cite{arxiv:2004.11037}; Google system performing up to 8 error-correction cycles on 5 and 9 qubits \cite{arxiv:1411.7403}; Google Quantum AI Sycamore utilizing up to 11 physical qubits and running 50 correction rounds \cite{arxiv:2102.06132}; Google Quantum AI Sycamore utilizing up to 25 qubits for comparison of logical error scaling with a quantum code \cite{arxiv:2207.06431} (see also \cite{arxiv:2211.04728}).'
+  - 'Superconducting circuits: 3-qubit phase-flip and bit-flip code by Schoelkopf group \cite{arxiv:1004.4324,arxiv:1109.4948}; 3-qubit bit-flip code \cite{arxiv:1411.5542}; 3-qubit phase-flip code up to 3 cycles of error correction \cite{arxiv:1508.01388}; IBM 15-qubit device \cite{arxiv:1709.00990}; IBM Rochester device using 43-qubit code \cite{arxiv:2004.11037}; Google system performing up to 8 error-correction cycles on 5 and 9 qubits \cite{arxiv:1411.7403}; Google Quantum AI Sycamore utilizing up to 11 physical qubits and running 50 correction rounds \cite{arxiv:2102.06132}; Google Quantum AI Sycamore utilizing up to 25 qubits for comparison of logical error scaling with a quantum code \cite{arxiv:2207.06431} (see also \cite{arxiv:2211.04728}).'
   - 'Continuous error correction protocols have been implemented on a 3-qubit superconducting qubit device \cite{arxiv:2107.11398}.'
   - 'Semiconductor spin-qubit devices: 3-qubit devices at RIKEN \cite{arxiv:2201.08581} and Delft \cite{arxiv:2202.11530}.'
   - 'Nitrogen-vacancy centers in diamond: 3-qubit phase-flip code \cite{arxiv:1309.6424,doi:10.1038/s42005-022-00875-6} (see also Ref. \cite{arxiv:1309.5452}).'

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

@@ -20,6 +20,7 @@ description: |-
 features:
   encoders:
     - 'Encoding is efficient and uses only Clifford gates. Some encoders yield \textit{catastrophic} errors, i.e., errors that require a circuit of infinite depth to correct \cite[Def. 4.1]{arxiv:quant-ph/0401134}.'
+    - 'Pearl-necklace encoding \cite{arXiv:quant-ph/0304189,arXiv:quant-ph/0401134,arXiv:quant-ph/0602129,arxiv:1004.5179}.'
     - 'Quantum shift register encoding \cite{arxiv:0903.3894}.'
     - 'Encoding circuits can be viewed as matrix-product-state tensor networks \cite{arxiv:1312.4578}.'
   decoders: