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quant-ph2025
High-Fidelity Universal Quantum Gate Compilation for Non-semisimple Ising Anyons via Genetic Algorithm-Optimized Solovay-Kitaev Decomposition
Jiangwei Long, Zihui Liu, Yizhi Li +2
We present a systematic numerical construction of a universal quantum gate set for topological quantum computation based on the non-semisimple Ising anyons model. By employing a Ge…
math.GT2025
Colorings of symmetric unions and partial knots
Ben Clingenpeel, Zongzheng Dai, Gabriel Diraviam +12
Motivated by work of Kinoshita and Teraska, Lamm introduced the notion of a symmetric union, which can be constructed from a partial knot by introducing additional crossings to…
quant-ph2025
Long-range nonstabilizerness and quantum codes, phases, and complexity
Fuchuan Wei, Zi-Wen Liu
As a necessary resource for quantum computational advantage, quantum magic (nonstabilizerness) is of fundamental importance in the study of quantum computation and physics. We deve…