Bravyi, Smith, and Smolin

4 bounds submitted · 3 records held.

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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 · 3

bound	orbit	γ	tier
$χ_{R} ({\| H ⟩}^{\otimes 2}) \leq 2$	H-type	0.5000	lean
$χ_{R} ({\| H ⟩}^{\otimes 3}) \leq 3$	H-type	0.5283	lean
$χ_{R} ({\| H ⟩}^{\otimes 5}) \leq 6$	H-type	0.5170	lean

All bounds · 4

bound	orbit	γ	tier
$χ_{R} ({\| H ⟩}^{\otimes 2}) \leq 2$	H-type	0.5000	lean
$χ_{R} ({\| H ⟩}^{\otimes 3}) \leq 3$	H-type	0.5283	lean
$χ_{R} ({\| H ⟩}^{\otimes 5}) \leq 6$	H-type	0.5170	lean
$χ_{R} ({\| H ⟩}^{\otimes 6}) \leq 7$	H-type	0.4679	verified