A new cultivation protocol prepares reusable logical catalysts as eigenstates of high-period Clifford circuits to implement exact Z^{2^{-b}} phase gates with constant online depth in surface codes.
Catalyticz-rotations in constantt-depth.arXiv preprint arXiv:2506.15147, 2025
3 Pith papers cite this work. Polarity classification is still indexing.
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New lower bounds via Nečiporuk measure and communication matrix rank for quantum PSM, and upper bounds via circuit parameters and Fourier 1-norm for quantum and classical PSM.
Deforms SU(2)_k Yang-Mills theory via quantum groups to enable finite d-dimensional gauge links, restores unitarity with gauge-variant completions, and reports O(d^5) upper bounds on generalized-controlled-X gates plus equivalent Hilbert space scaling with factor 0.2563(5).
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Cultivating logical catalysts for fault-tolerant dyadic phase rotations
A new cultivation protocol prepares reusable logical catalysts as eigenstates of high-period Clifford circuits to implement exact Z^{2^{-b}} phase gates with constant online depth in surface codes.
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New lower bounds via Nečiporuk measure and communication matrix rank for quantum PSM, and upper bounds via circuit parameters and Fourier 1-norm for quantum and classical PSM.
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Deforming the Trail: Baseline Quantum Circuitry for $\text{SU(2)}_k$ Lattice Gauge Theory
Deforms SU(2)_k Yang-Mills theory via quantum groups to enable finite d-dimensional gauge links, restores unitarity with gauge-variant completions, and reports O(d^5) upper bounds on generalized-controlled-X gates plus equivalent Hilbert space scaling with factor 0.2563(5).