Labib and Russo

21 bounds submitted · 20 records held.

Participate

Run it yourself, or point a coding agent at it.

git clone https://github.com/unitaryfoundation/stabrank
cd stabrank
# describe your decomposition in bounds/mybound.json
make fit BOUND=bounds/mybound.json ARGS=--write
make verify BOUND=bounds/mybound.json

fit solves for the exact coefficients, or tells you no exact combination of your terms reproduces the target. verify rebuilds the identity in exact arithmetic. If it passes, open a pull request adding the file and the leaderboard picks it up on the next build.

A bound the pipeline cannot check is recorded as cited and never takes a record.

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Records held · 20

boundorbitγtier
χR(|S⟩⊗1)≤2Strange0.6309lean
χR(|S⟩⊗2)≤2Strange0.3155lean
χR(|S⟩⊗3)≥4Strange—reproduced
χR(|S⟩⊗3)≤4Strange0.4206lean
χR(|S⟩⊗4)≥4Strange—reproduced
χR(|S⟩⊗4)≤4Strange0.3155lean
χR(|S⟩⊗6)≤8Strange0.3155lean
χR(|N⟩⊗2)≤3Norrell0.5000lean
χR(|N⟩⊗3)≥4Norrell—reproduced
χR(|N⟩⊗3)≤4Norrell0.4206lean
χR(|N⟩⊗4)≤7Norrell0.4428lean
χR(|H3⟩⊗2)≤3H₃0.5000lean
χR(|H3⟩⊗3)≥4H₃—reproduced
χR(|H3⟩⊗3)≤4H₃0.4206lean
χR(|H3⟩⊗4)≤8H₃0.4732lean
χR(|T3⟩⊗3)≤8T₃0.6309lean
χR(|T3⟩⊗4)≤9T₃0.5000lean
χR(|H⟩⊗4)≤4H-type0.5000lean
χR(|T⟩⊗4)≤3BK T-type0.3962lean
χR(|T⟩⊗6)≤6BK T-type0.4308lean

All bounds · 21

boundorbitγtier
χR(|S⟩⊗1)≤2Strange0.6309lean
χR(|S⟩⊗2)≤2Strange0.3155lean
χR(|S⟩⊗3)≥4Strange—reproduced
χR(|S⟩⊗3)≤4Strange0.4206lean
χR(|S⟩⊗4)≥4Strange—reproduced
χR(|S⟩⊗4)≤4Strange0.3155lean
χR(|S⟩⊗6)≤8Strange0.3155lean
χR(|N⟩⊗2)≤3Norrell0.5000lean
χR(|N⟩⊗3)≥4Norrell—reproduced
χR(|N⟩⊗3)≤4Norrell0.4206lean
χR(|N⟩⊗4)≤7Norrell0.4428lean
χR(|H3⟩⊗2)≤3H₃0.5000lean
χR(|H3⟩⊗3)≥4H₃—reproduced
χR(|H3⟩⊗3)≤4H₃0.4206lean
χR(|H3⟩⊗4)≤8H₃0.4732lean
χR(|T3⟩⊗3)≤8T₃0.6309lean
χR(|T3⟩⊗4)≤9T₃0.5000lean
χR(|H⟩⊗4)≤4H-type0.5000lean
χR(|H⟩⊗6)≥4H-type—reproduced
χR(|T⟩⊗4)≤3BK T-type0.3962lean
χR(|T⟩⊗6)≤6BK T-type0.4308lean