pygridsynth provides O(log(1/ε)) ancilla-free Clifford+T synthesis with a new partial-decomposition technique for n≥3 reducing T-count constants to (21/8·4^n - 9/2·2^n + 9)log₂(1/ε) + o(log(1/ε)) and a mixed-synthesis approach empirically lowering error to ε²/(2n).
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No-go theorems prove hierarchy level and state-independent sequences cannot maximize operational magic in early FTQC, requiring state-aware differentiable optimization and nonlinear phases for scalable magic generation.
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pygridsynth: A fast numerical tool for ancilla-free Clifford+T synthesis
pygridsynth provides O(log(1/ε)) ancilla-free Clifford+T synthesis with a new partial-decomposition technique for n≥3 reducing T-count constants to (21/8·4^n - 9/2·2^n + 9)log₂(1/ε) + o(log(1/ε)) and a mixed-synthesis approach empirically lowering error to ε²/(2n).
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Quantum Magic in early FTQC: From Diagonal Clifford Hierarchy No-Go Theorems to Architecture Design Blueprints
No-go theorems prove hierarchy level and state-independent sequences cannot maximize operational magic in early FTQC, requiring state-aware differentiable optimization and nonlinear phases for scalable magic generation.