8 papers
Universal Quantum Gate Set from Multiple-Braiding Sequences in (, ) Anyon Models
Jiangwei Long, Zihui Liu, Yizhi Li +2
We study the implementation of a universal quantum gate set via multiple-braiding within (, ) anyon models. The multiple elementary braiding matrices (ME…
Triangle Criterion: a mixed-state magic criterion with applications in distillation and detection
Zhenhuan Liu, Tobias Haug, Qi Ye +2
We introduce a mixed-state magic criterion, the Triangle Criterion, which plays a role for magic analogous to the Positive Partial Transposition (PPT) Criterion for entanglement: i…
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…
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…
One-shot distillation with constant overhead using catalysts
Kun Fang, Zi-Wen Liu
Quantum resource distillation is a fundamental task in quantum information science and technology. Minimizing the overhead of distillation is crucial for the realization of quantum…