ref - LCA

Author: valbert4

codes/quantum/groups/stabilizer/lattice/2d_stabilizer.yml

@@ -24,7 +24,7 @@ features:
     - 'Renormalization group (RG) decoder \cite{arxiv:1006.1362}.'
     - 'Tensor-network based decoder for 2D codes subject to correlated noise \cite{arxiv:1809.10704}.'
     - 'Standard stabilizer-based error correction can be performed even in the presence of perturbations to the codespace \cite{arxiv:2211.09803,arxiv:2401.06300,arxiv:2402.14906}; see also Refs. \cite{arxiv:0807.0287,arxiv:0911.3843,arxiv:1107.3940}.'
-    - 'Real-time geometrically local decoder based on introducing confining interactions between anyons \cite{arxiv:2510.08056}.'
+    - 'Real-time geometrically local decoder based on introducing an ancillary buffer and confining spacetime interactions between anyons  \cite{arxiv:2510.08056}.'
   code_capacity_threshold:
     - 'Noise thresholds can be formulated as anyon \hyperref[topic:code-switching]{condensation} transitions in a topological field theory \cite{arxiv:2301.05687}, generalizing the mapping of the effect of noise on a code state to a statistical mechanical model \cite{arxiv:quant-ph/0110143,arxiv:1208.2317,arxiv:1311.7688,arxiv:1809.10704}.
     Namely, the noise threshold for a noise channel \(\cal{E}\) acting on a 2D stabilizer state \(|\psi\rangle\) can be obtained from the properties of the resulting (mixed) state \(\mathcal{E}(|\psi\rangle\langle\psi|)\) \cite{arxiv:2301.05238,arxiv:2301.05687,arxiv:2301.05689,arxiv:2309.11879, arxiv:2401.17359}.'

codes/quantum/properties/hamiltonian/self_correct.yml

@@ -56,7 +56,7 @@ relations:
       detail: 'A self-correcting quantum memory does not require symmetry for self correction.'
   cousins:
     - code_id: surface
-      detail: 'The surface code is not thermally stable \cite{arxiv:quant-ph/0702102,arxiv:0709.2717,arxiv:0810.4584,arxiv:0911.3843,arxiv:2410.01206} because its string-like logical operators anti-commute with stabilizer generators supported only at their ends, and thus have a constant energy cost of creation. Various candidates for self-correcting quantum memories have been constructed by coupling neighboring anyons in the code so as to prevent them from spreading \cite{arxiv:0812.4622,arxiv:0908.4264,arxiv:1101.6028,arxiv:1406.2338,arxiv:1512.04528}.'
+      detail: 'The surface code is not thermally stable \cite{arxiv:quant-ph/0702102,arxiv:0709.2717,arxiv:0810.4584,arxiv:0911.3843,arxiv:2410.01206} because its string-like logical operators anti-commute with stabilizer generators supported only at their ends, and thus have a constant energy cost of creation. Various candidates for self-correcting quantum memories have been constructed by coupling neighboring anyons in the code so as to prevent them from spreading \cite{arxiv:0812.4622,arxiv:0908.4264,arxiv:1101.6028,arxiv:1406.2338,arxiv:1511.05579,arxiv:1512.04528}.'
     - code_id: 2d_stabilizer
       detail: '2D stabilizer codes \cite{arxiv:0810.1983} and encodings of frustration-free code Hamiltonians \cite{arxiv:1209.5750} admit only constant-energy excitations, and so do not have an energy barrier.'
     - code_id: quantum_double

codes/quantum/qubits/small_distance/quantum_repetition.yml

@@ -60,6 +60,7 @@ features:
     - 'A nonzero threshold exists under the single-rule local automaton decoders \cite{arxiv:2505.10162}.'
   threshold:
     - 'Phenomenological noise: \(11\%\) and \(17.2\%\) with RG decoder for quantum repetition code arranged on a 1D and 2D lattice, respectively \cite{arxiv:1708.09286}.'
+    - 'Threshold under real-time geometrically local decoder based on introducing an ancillary buffer and confining spacetime interactions between anyons  \cite{arxiv:2510.08056}.'
 
 
 

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

@@ -69,7 +69,7 @@ features:
     # The latter work considers \(X\)-type noise only, but this is equivalent since \(X\)- and \(Z\)-type noise is corrected independently.
     - 'The toric code has a \hyperref[topic:measurement-threshold]{measurement threshold} of one \cite{arxiv:2402.00145}.'
     - 'Coherent noise: the threshold under ML decoding corresponds to the value of a critical point of a particular random-bond Ising model (RBIM) called the complex-coupled Ashkin-Teller model \cite{arxiv:2410.22436,arxiv:2411.05785}. Another statistical mechanical mapping has been studied for \(X\)-type noise channels interpolating between coherent and incoherent noise \cite{arxiv:2412.21055}.'
-    - 'Threshold under real-time geometrically local decoder based on introducing confining interactions between anyons \cite{arxiv:2510.08056}.'
+    - 'Threshold of \(1.5\%\) under real-time geometrically local decoder based on introducing an ancillary buffer and confining spacetime interactions between anyons  \cite{arxiv:2510.08056}.'
 
   threshold:
     - 'The threshold under ML decoding with measurement errors corresponds to the value of a critical point of a three-dimensional random plaquette model \cite{arxiv:quant-ph/0110143,arxiv:quant-ph/0207088}.'