Skip to content

doc(circuit/frontier): quote the child edge bound of §D.4.6 in full #1941

New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

Sign up for GitHub

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

Merged
SamuelSchlesinger merged 1 commit into from
Oct 31, 2026
Merged

doc(circuit/frontier): quote the child edge bound of §D.4.6 in full #1941

Changes from all commits
Commits
Show all changes
1 commit
Select commit
File filter

Filter by extension

Filter by extension
Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
3 changes: 2 additions & 1 deletion Complexity/Computability/Circuit/Frontier/TensorNetwork/ChildSize.lean
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -23,7 +23,8 @@ The child networks of a mode splitting (`TensorNetwork.ModeSplitting.child`, §D
"a new packet vertex has at most `2L ⩽ Δ` ports";
* the child has one edge per port of its group (`ModeSplitting.card_edges_child`), so with at most
`c M / r` ports per group on each side (Lemma D.3 (3)) it has at most `2 c M / r` edges
(`ModeSplitting.mul_card_edges_child_le`): the manuscript's "at most `6M / r < M / 8` edges".
(`ModeSplitting.mul_card_edges_child_le`): the manuscript's "at most `6M/r = 3M/32 < M/8`
edges" (§D.4.6, p. 63).

## Main results

Expand Down
Loading