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surface-17

[[9,1,3]] skip done

[[9,1,3]] Surface-17 code

Family:
small_distance/small/9/surface-17
Hardware demos:
1
Citations:
1
Est. LoC:
200
EC Zoo:
surface-17 ↗

Description

A [[9,1,3]] rotated surface code named for the sum of its 9 data qubits and 8 syndrome qubits. It is one of the four inequivalent CSS gauge fixings of the nine-qubit Bacon-Shor code \cite{arxiv:2501.17447}. It uses the smallest number o…

Introduced in: arxiv:1404.3747

Rationale

Audit override: explicitly a [[9,1,3]] rotated surface code — the L=3 instance of QEC/Stabilizer/Codes/RotatedSurface/N.lean (with stabilizer-code packaging in RotatedSurfaceCodeNStabilizerCode.lean and distance proof in RotatedSurfaceCodeNDistance*.lean). Previous rationale: Audit override: explicitly a [[9,1,3]] rotated surface code — the L=3 instance of QEC/Stabilizer/Codes/RotatedSurface/N.lean (with stabilizer-code packaging in RotatedSurfaceCodeNStabilizerCode.lean and distance proof in RotatedSurfaceCodeNDistance*.lean). Previous rationale: Audit override: explicitly a [[9,1,3]] rotated surface code — the L=3 instance of QEC/Stabilizer/Codes/RotatedSurface/N.lean (with stabilizer-code packaging in RotatedSurfaceCodeNStabilizerCode.lean and distance proof in RotatedSurfaceCodeNDistance*.lean). Previous rationale: Audit override: explicitly a [[9,1,3]] rotated surface code — the L=3 instance of QEC/Stabilizer/Codes/RotatedSurfaceCodeN.lean (with stabilizer-code packaging in RotatedSurfaceCodeNStabilizerCode.lean and distance proof in RotatedSurfaceCodeNDistance*.lean). Previous rationale: Audit override: explicitly a [[9,1,3]] rotated surface code — the L=3 instance of QEC/Stabilizer/Codes/RotatedSurfaceCodeN.lean (with stabilizer-code packaging in RotatedSurfaceCodeNStabilizerCode.lean and distance proof in RotatedSurfaceCodeNDistance*.lean). Previous rationale: [[9,1,3]] surface-17 code: a particular small rotated-surface instance, widely demonstrated on Google/IBM hardware. Almost certainly a direct corollary of the already-formalized rotated surface code at L=3.

Scoring composite -1.00

Reuse
9/10 ×0.25
Canon
8/10 ×0.15
Hardware
9/10 ×0.15
Tract
10/10 ×0.15
Prereq
10/10 ×0.2
Effort
8/10 ×0.1