refs

codes/quantum/eaqecc.yml

@@ -17,6 +17,7 @@ description: 'QECC whose encoding and decoding utilizes pre-shared entanglement
 protection: |
   Pre-shared entanglement can be prepared in a way that is robust to noise \cite{arxiv:0904.1175}.
 
+
 notes:
   - 'See Ref. \cite{doi:10.1017/CBO9781139034807.009} for an introduction to EAQECCs.'
 

codes/quantum/properties/block/block_quantum.yml

@@ -23,7 +23,7 @@ protection: |
   Errors acting on subsystems in a geometrically local region are called \textit{burst errors} \cite{doi:10.1143/jpsj.69.3540,doi:10.1109/18.771250}.
 
   \subsection{Bounds on code parameters}
-  Bounds on finite dimensional block code performance include the quantum Singleton bound, quantum Hamming bound, \hyperref[topic:quantum-gv-bound]{quantum GV bound}, various quantum linear programming (LP) bounds \cite{arxiv:quant-ph/9611001,arxiv:quant-ph/9709049} (see the book \cite{preset:GottesmanBook}), and other bounds \cite{doi:10.1109/TIT.2005.862086}.
+  Bounds on finite dimensional block code performance include the quantum Singleton bound, quantum Hamming bound, \hyperref[topic:quantum-gv-bound]{quantum GV bound}, various quantum linear programming (LP) bounds \cite{arxiv:quant-ph/9611001,arxiv:quant-ph/9709049} (see the book \cite{preset:GottesmanBook}), and other bounds \cite{doi:10.1109/TIT.2005.862086,arxiv:1007.3655}.
   A code whose parameters attain the quantum Hamming bound (quantum Singleton bound) is called a perfect quantum code (a quantum MDS code).
 
   \begin{defterm}{Quantum GV bound}

codes/quantum/qubits/ea_qubits_into_qubits.yml

@@ -12,6 +12,10 @@ name: 'EA qubit code'
 description: |
   Qubit code designed to utilize pre-shared entanglement between sender and receiver.
 
+protection: |
+  The \hyperref[topic:quantum-gv-bound]{quantum GV bound} and Plotkin bound have been extended to EA qubit codes \cite{arxiv:1010.5506}.
+
+
 features:
   rate: 'There are EA versions of classical and quantum capacities \cite{arxiv:quant-ph/9904023}. EA hashing bounds on the minimum entanglement required to achieve the entanglement-assisted channel capacity are derived \cite{arXiv:quant-ph/0205117}.'
   encoders:

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

@@ -30,6 +30,8 @@ description: |
   It is the unique code for its parameters, up to local equivalence \cite[Corr. 10]{arxiv:quant-ph/9704043}.
   Any 5 qubit \(2T\)-transversal stabilizer code with distance \(d>1\) must be the five-qubit code \cite{arxiv:2306.12526,manual:{Ian Teixeira, private communication, 2024}}.
 
+  This code is sometimes referred to as the DiVincenzo-Shor code after a paper that studied the code's syndrome extraction circuits \cite{arxiv:quant-ph/9605031}
+
 protection: 'Smallest stabilizer code that protects against a single error on any one qubit. Detects two-qubit errors.'
 
 features:

codes/quantum/qubits/stabilizer/topological/surface/2d_surface/toric/toric.yml

@@ -52,7 +52,7 @@ features:
     Above values are for one type of noise only, and the ML threshold for combined \(X\) and \(Z\) noise is \(2p_X - p_X^2 \approx 20.6\%\).'
     - 'Depolarizing noise: between \(17\%\) and \(18.5\%\) under BSV tensor-network decoding \cite{arxiv:1405.4883}, \(14\%\) under GBP decoding \cite{arxiv:2212.03214}, \(16.5\%\) under recursive MWPM \cite{arxiv:2212.11632}, between \(16\%\) and \(17.5\%\) under AMBP4 (depending on whether surface or toric code is considered) \cite{arxiv:2104.13659}, and between \(15\%\) and \(16\%\) under RG \cite{arxiv:0911.0581}, Markov-chain \cite{arxiv:1302.2669}, or MWPM \cite{arxiv:0905.0531} decoding.
     The threshold under ML decoding corresponds to the value of a critical point of the disordered eight-vertex Ising model, calculated to be \(18.9(3)\%\) \cite{arxiv:1202.1852} (see also APS Physics viewpoint \cite{doi:10.1103/Physics.5.50}).'
-    - 'Erasure noise: \(50\%\) for square tiling \cite{arxiv:,arxiv:0912.1159}.
+    - 'Erasure noise: \(50\%\) for square tiling \cite{arxiv:0904.3556,arxiv:0912.1159}.
     There is an inverse relationship between coordination number of the syndrome graph, with the threshold corresponding to a percolation transition \cite{arxiv:1810.09621}.'
     - 'Correlated noise: \(10.04(6)\%\) under mildly correlated bit-flip noise \cite{arxiv:1809.10704}.'
     # The latter work considers \(X\)-type noise only, but this is equivalent since \(X\)- and \(Z\)-type noise is corrected independently.

codes/quantum/qubits/stabilizer/topological/surface/higher_d/4d_surface.yml

@@ -29,6 +29,9 @@ description: |
 
   The construction has been extended to modular qudits \cite{arxiv:2112.02137}.
 
+features:
+  decoders:
+    - 'Lindbladian-based dissipative encoding, for which codespace is steady-state space of a Lindbladian \cite{arxiv:1010.2901}.'
 
 features:
   transversal_gates: