5 papers
Theory of low-weight quantum codes
Fuchuan Wei, Zhengyi Han, Austin Yubo He +2
Low check weight is practically crucial code property for fault-tolerant quantum computing, which underlies the strong interest in quantum low-density parity-check (qLDPC) codes. H…
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…
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…
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…
Noise robustness and threshold of many-body quantum magic
Fuchuan Wei, Zi-Wen Liu
Understanding quantum magic (i.e., nonstabilizerness) in many-body quantum systems is challenging but essential to the study of quantum computation and many-body physics. We invest…