Skip to content

Commit 9343f8e

Browse files
committed
graph edits
1 parent 68bb05d commit 9343f8e

File tree

6 files changed

+10
-3
lines changed

6 files changed

+10
-3
lines changed

codes/classical/homogeneous/2pt_homogeneous.yml

Lines changed: 1 addition & 0 deletions
Original file line numberDiff line numberDiff line change
@@ -26,6 +26,7 @@ notes:
2626
relations:
2727
parents:
2828
- code_id: homogeneous_space_classical
29+
detail: 'A special class of homogeneous spaces are the two-point homogeneous spaces (a.k.a. rank-one symmetric spaces), for which any two points can be mapped to any other two points that are the same distance apart. This is equivalent to saying that \(G\) acts two-transitively.'
2930
cousins:
3031
- code_id: ecc
3132
detail: 'ECCs and \(t\)-designs on two-point homogeneous spaces are intimately related via association schemes \cite{doi:10.1109/18.720545}.'
File renamed without changes.
File renamed without changes.

codes/quantum/qubits/stabilizer/qldpc/balanced_product/tensor/multisector_hypergraph.yml

Lines changed: 1 addition & 0 deletions
Original file line numberDiff line numberDiff line change
@@ -35,6 +35,7 @@ features:
3535
transversal_gates:
3636
- 'Transversal gates for multi-dimensional HGP codes of all dimensions lie in the Clifford group \cite{arxiv:2507.16797}.'
3737
general_gates:
38+
- 'Gates in the \term{Clifford hierarchy} can be implemented via constant-depth circuits \cite{arxiv:2507.16797}.'
3839
- 'Parallel Pauli product measurements via homomorphic CNOT gates for 3- and 4-dimensional HGP codes \cite{arxiv:2407.18490}.'
3940

4041

codes/quantum/qubits/stabilizer/qldpc/balanced_product/tensor/singlesector/hypergraph/hypergraph_product.yml

Lines changed: 1 addition & 1 deletion
Original file line numberDiff line numberDiff line change
@@ -45,7 +45,7 @@ features:
4545
transversal_gates:
4646
- 'Hadamard (up to logical SWAP gates) and control-\(Z\) on all logical qubits \cite{arxiv:2204.10812}.'
4747
- 'Patch-transversal gates inherited from the automorphism group of the underlying classical codes \cite[Appx. D]{arxiv:2309.11719}.'
48-
- 'Orientation-preserving constant-depth circuits can only implemenent gates in the Clifford group \cite{arxiv:2507.16797}.'
48+
- 'Orientation-preserving constant-depth circuits can only implement gates in the Clifford group \cite{arxiv:2507.16797}.'
4949
- 'Permutation-based gates (automorphism gadgets) can be inherited from the underlying classical codes in the hypergraph construction \cite{arxiv:2508.04794}.'
5050
decoders:
5151
- 'Single-ancilla syndrome extraction circuits do not admit \hyperref[topic:effective-distance]{hook errors} \cite{arxiv:2409.02193}.'

codes/quantum/qubits/stabilizer/topological/surface/higher_d/3d_surface.yml

Lines changed: 7 additions & 2 deletions
Original file line numberDiff line numberDiff line change
@@ -42,8 +42,7 @@ protection: |
4242

4343
features:
4444
transversal_gates:
45-
- 'Transversal \(CZ\) and \(CCZ\) gates \cite{arxiv:1503.02065,arxiv:1801.04255,arxiv:2106.05274,arxiv:2108.00018,arxiv:2310.16982,arxiv:2312.09111,arxiv:2404.05033}, with \(CZ\) gates formulated in terms of the slant product \cite{arxiv:1509.03626,arxiv:2208.07367} or cup product \cite{arxiv:2410.16250} structures.'
46-
# 2410.16250 explains the above
45+
- 'Transversal inter-block \(CZ\) gate \cite{arxiv:1801.04255}.'
4746
decoders:
4847
- 'Flip decoder and its modification p-flip \cite{arxiv:2212.06985}.'
4948
- 'Tensor-network decoder \cite{arxiv:2310.10722}.'
@@ -55,6 +54,8 @@ features:
5554
- 'Lattice surgery \cite{arxiv:1801.04255}.'
5655
- '3D and Hybrid 2D-3D surface code computation using lattice surgery and without magic-state distillation \cite{arxiv:1801.04255}.'
5756
- 'Fault-tolerant Hadamard gate using teleportation and error correction \cite{arxiv:1801.04255}.'
57+
- 'Various \(CZ\) and \(CCZ\) gates implemented via constant-depth circuits \cite{arxiv:1503.02065,arxiv:1801.04255,arxiv:2106.05274,arxiv:2108.00018,arxiv:2310.16982,arxiv:2312.09111,arxiv:2404.05033}, with \(CZ\) gates formulated in terms of the slant product \cite{arxiv:1509.03626,arxiv:2208.07367} or cup product \cite{arxiv:2410.16250} structures.'
58+
# 2410.16250 explains the above
5859
fault_tolerance:
5960
- 'Fault-tolerant Hadamard gate using teleportation and error correction \cite{arxiv:1801.04255}.'
6061
code_capacity_threshold:
@@ -90,6 +91,10 @@ relations:
9091
_meta:
9192
# Change log - most recent first
9293
changelog:
94+
- user_id: nathanan
95+
date: '2025-11-14'
96+
- user_id: VictorVAlbert
97+
date: '2025-11-14'
9398
- user_id: AleksanderKubica
9499
date: '2022-05-16'
95100
- user_id: VictorVAlbert

0 commit comments

Comments
 (0)