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quant-ph2026
Explicit Matrices over with CNOT and Row Complexity and Local Logic Gates
Sherry Gong, Andrew Yu
In this article, we present an explicit family of invertible matrices over whose CNOT and row complexity is at least ; equivalently, reduc…
math.GT2026
The 2-Twist Spun Trefoil Has Crossing Number Six
Sherry Gong, Samuel Lewis-Monkman, Jesse Osnes
We study the tri-plane crossing number, that is, the minimal number of crossings in a tri-plane diagram for a bridge trisection of a knotted sphere in . We show that every 2-k…