14 citations · 23 across the 11 of their papers we have counts for
11 papers
Topologically shadowed quantum criticality: A non-compact conformal manifold
Tianyao Fang, Weicheng Ye, Zhengcheng Gu +1
We propose a family of topological quantum critical points (tQCPs) separating non-invertible chiral topological orders in dimensions. We conjecture that these tQCPs can be…
Symmetric Gapped States and Symmetry-Enforced Gaplessness in 3-dimensions
Arun Debray, Matthew Yu, Weicheng Ye
We establish a comprehensive framework for characterizing the infrared (IR) phases of a fermionic quantum theory in three spatial dimensions, based on its quantum anomalies associa…
How to Build Anomalous (3+1)d Topological Quantum Field Theories
Arun Debray, Weicheng Ye, Matthew Yu
We develop a systematic framework for constructing (3+1)-dimensional topological orders or topological quantum field theories (TQFTs) that realize specified anomalies of finite sym…
Universal quantum phase classification on quantum computers from machine learning
Weicheng Ye, Shuwei Liu, Shiyu Zhou +1
The classification of quantum phases of matter remains a fundamental challenge in condensed matter physics. We present a novel framework that combines shadow tomography with modern…
Global Structure in the Presence of a Topological Defect
Arun Debray, Weicheng Ye, Matthew Yu
We investigate the global structure of topological defects which wrap a submanifold in a quantum field theory defined on a closed manifold . The Pontryagin-Thom con…
Higher obstructions to conformal boundary conditions and lattice realizations
Ruizhi Liu, Weicheng Ye
Although it is long believed that vanishing of chiral central charges of a 2d conformal field theory (CFT) implies the existence of conformal boundary conditions, there are yet hig…
Crystallography, Group Cohomology, and Lieb-Schultz-Mattis Constraints
Chunxiao Liu, Weicheng Ye
We present a computational study of the mod-2 cohomology of three-dimensional (3D) space groups, with an eye toward their applications in Lieb--Schultz--Mattis constraints. We prov…
Why Groups Matter: Necessity of Group Structures in Attributions
Dangxing Chen, Jingfeng Chen, Weicheng Ye
Explainable machine learning methods have been accompanied by substantial development. Despite their success, the existing approaches focus more on the general framework with no pr…
Topological holography for fermions
Rui Wen, Weicheng Ye, Andrew C. Potter
Topological holography is a conjectured correspondence between the symmetry charges and defects of a -dimensional system with the anyons in a -dimensional topological ord…
Bosonization and Anomaly Indicators of (2+1)-D Fermionic Topological Orders
Arun Debray, Weicheng Ye, Matthew Yu
We provide a mathematical proposal for the anomaly indicators of symmetries of (2+1)-d fermionic topological orders, and work out the consequences of our proposal in several nontri…
Complexity and order in approximate quantum error-correcting codes
Jinmin Yi, Weicheng Ye, Daniel Gottesman +1
We establish rigorous connections between quantum circuit complexity and approximate quantum error correction (AQEC) capability, two properties of fundamental importance to the phy…