Vincent Russo — Stabilizer Rank Challenge

Records held · 25

bound	orbit	γ	tier
$χ_{R} ({\| S ⟩}^{\otimes 5}) \geq 6$	Strange	—	attested · 3/4259 re-run
$χ_{R} ({\| S ⟩}^{\otimes 6}) \geq 6$	Strange	—	attested · 3/4259 re-run
$χ_{R} ({\| S ⟩}^{\otimes 7}) \geq 6$	Strange	—	attested · 3/4259 re-run
$χ_{R} ({\| S ⟩}^{\otimes 8}) \geq 6$	Strange	—	attested · 3/4259 re-run
$χ_{R} ({\| N ⟩}^{\otimes 5}) \leq 10$	Norrell	0.4192	verified
$χ_{R} ({\| \sqrt{T} ⟩}^{\otimes 1}) \geq 2$	√T	—	verified
$χ_{R} ({\| \sqrt{T} ⟩}^{\otimes 1}) \leq 2$	√T	1.0000	verified
$χ_{R} ({\| \sqrt{T} ⟩}^{\otimes 2}) \geq 3$	√T	—	verified
$χ_{R} ({\| \sqrt{T} ⟩}^{\otimes 2}) \leq 3$	√T	0.7925	verified
$χ_{R} ({\| \sqrt{T} ⟩}^{\otimes 3}) \geq 4$	√T	—	verified
$χ_{R} ({\| \sqrt{T} ⟩}^{\otimes 3}) \leq 4$	√T	0.6667	verified
$χ_{R} ({\| \sqrt{T} ⟩}^{\otimes 4}) \geq 5$	√T	—	verified
$χ_{R} ({\| \sqrt{T} ⟩}^{\otimes 4}) \leq 5$	√T	0.5805	verified
$χ_{R} ({\| \sqrt{T} ⟩}^{\otimes 5}) \geq 6$	√T	—	verified
$χ_{R} ({\| \sqrt{T} ⟩}^{\otimes 5}) \leq 6$	√T	0.5170	verified
$χ_{R} ({\| \sqrt{T} ⟩}^{\otimes 6}) \geq 7$	√T	—	attested · 2/859 re-run
$χ_{R} ({\| \sqrt{T} ⟩}^{\otimes 7}) \geq 7$	√T	—	attested · 2/859 re-run
$χ_{R} ({\| \sqrt{T} ⟩}^{\otimes 7}) \leq 12$	√T	0.5121	verified
$χ_{R} ({\| C S ⟩}^{\otimes 1}) \geq 2$	CS	—	verified
$χ_{R} ({\| C S ⟩}^{\otimes 1}) \leq 2$	CS	1.0000	verified
$χ_{R} ({\| C S ⟩}^{\otimes 2}) \geq 3$	CS	—	verified
$χ_{R} ({\| C S ⟩}^{\otimes 2}) \leq 3$	CS	0.7925	verified
$χ_{R} ({\| C S ⟩}^{\otimes 3}) \geq 4$	CS	—	reproduced
$χ_{R} (\| {cat}_{7} ⟩) \geq 5$	magic cat	—	attested · 2/1600 re-run
$χ_{R} (\| {cat}_{8} ⟩) \geq 5$	magic cat	—	attested · 2/1600 re-run

All bounds · 28

bound	orbit	γ	tier
$χ_{R} ({\| S ⟩}^{\otimes 5}) \geq 6$	Strange	—	attested · 3/4259 re-run
$χ_{R} ({\| S ⟩}^{\otimes 6}) \geq 6$	Strange	—	attested · 3/4259 re-run
$χ_{R} ({\| S ⟩}^{\otimes 7}) \geq 6$	Strange	—	attested · 3/4259 re-run
$χ_{R} ({\| S ⟩}^{\otimes 8}) \geq 6$	Strange	—	attested · 3/4259 re-run
$χ_{R} ({\| N ⟩}^{\otimes 5}) \leq 10$	Norrell	0.4192	verified
$χ_{R} ({\| \sqrt{T} ⟩}^{\otimes 1}) \geq 2$	√T	—	verified
$χ_{R} ({\| \sqrt{T} ⟩}^{\otimes 1}) \leq 2$	√T	1.0000	verified
$χ_{R} ({\| \sqrt{T} ⟩}^{\otimes 2}) \geq 3$	√T	—	verified
$χ_{R} ({\| \sqrt{T} ⟩}^{\otimes 2}) \leq 3$	√T	0.7925	verified
$χ_{R} ({\| \sqrt{T} ⟩}^{\otimes 3}) \geq 4$	√T	—	verified
$χ_{R} ({\| \sqrt{T} ⟩}^{\otimes 3}) \leq 4$	√T	0.6667	verified
$χ_{R} ({\| \sqrt{T} ⟩}^{\otimes 4}) \geq 4$	√T	—	verified
$χ_{R} ({\| \sqrt{T} ⟩}^{\otimes 4}) \geq 5$	√T	—	verified
$χ_{R} ({\| \sqrt{T} ⟩}^{\otimes 4}) \leq 5$	√T	0.5805	verified
$χ_{R} ({\| \sqrt{T} ⟩}^{\otimes 5}) \geq 6$	√T	—	verified
$χ_{R} ({\| \sqrt{T} ⟩}^{\otimes 5}) \leq 6$	√T	0.5170	verified
$χ_{R} ({\| \sqrt{T} ⟩}^{\otimes 6}) \geq 6$	√T	—	verified
$χ_{R} ({\| \sqrt{T} ⟩}^{\otimes 6}) \geq 7$	√T	—	attested · 2/859 re-run
$χ_{R} ({\| \sqrt{T} ⟩}^{\otimes 7}) \geq 7$	√T	—	attested · 2/859 re-run
$χ_{R} ({\| \sqrt{T} ⟩}^{\otimes 7}) \leq 12$	√T	0.5121	verified
$χ_{R} ({\| C S ⟩}^{\otimes 1}) \geq 2$	CS	—	verified
$χ_{R} ({\| C S ⟩}^{\otimes 1}) \leq 2$	CS	1.0000	verified
$χ_{R} ({\| C S ⟩}^{\otimes 2}) \geq 3$	CS	—	verified
$χ_{R} ({\| C S ⟩}^{\otimes 2}) \leq 3$	CS	0.7925	verified
$χ_{R} ({\| C S ⟩}^{\otimes 3}) \geq 3$	CS	—	verified
$χ_{R} ({\| C S ⟩}^{\otimes 3}) \geq 4$	CS	—	reproduced
$χ_{R} (\| {cat}_{7} ⟩) \geq 5$	magic cat	—	attested · 2/1600 re-run
$χ_{R} (\| {cat}_{8} ⟩) \geq 5$	magic cat	—	attested · 2/1600 re-run