Skip to content

Commit

Permalink
~
Browse files Browse the repository at this point in the history
  • Loading branch information
valbert4 committed Sep 28, 2024
1 parent e2b6a1c commit 72ce0f8
Showing 1 changed file with 1 addition and 1 deletion.
2 changes: 1 addition & 1 deletion codes/quantum/properties/block/quantum_perfect.yml
Original file line number Diff line number Diff line change
Expand Up @@ -27,7 +27,7 @@ description: |
where \(h\) is the binary entropy function.
\hyperref[topic:degeneracy]{Degenerate} codes (except distance-two stabilizer codes \cite{arxiv:0711.4603}) can in principle violate the quantum Hamming bound.
It was shown that qubit stabilizer codes \cite{arxiv:quant-ph/9709049}, qudit stabilizer codes up to distance two \cite{arxiv:0711.4603}, qudit CSS codes of qudit dimension \(q\geq 5\) along with certain other codes \cite{arxiv:0811.1621}, and qubit codes up to distance \(d\leq 85\) \cite{arxiv:2208.11800} do not violate the bound.
It was shown that qubit stabilizer codes correcting up to two errors \cite{arxiv:quant-ph/9705052}, qudit stabilizer codes up to distance two \cite{arxiv:0711.4603}, qudit CSS codes of qudit dimension \(q\geq 5\) along with certain other codes \cite{arxiv:0811.1621}, and qubit codes up to distance \(d\leq 127\) \cite{arxiv:2208.11800} do not violate the bound.
A quantum Hamming-like bound exists for \hyperref[topic:degeneracy]{degenerate} qubit stabilizer codes \cite{arxiv:2306.00048}.
protection: |
Expand Down

0 comments on commit 72ce0f8

Please sign in to comment.