From the 1 of 8 linked papers with an AI index.
8 papers
Optimal strategies for shadow tomography with limited resources
Zhen-Peng Xu, Qi Ye, Jie Wang +3
Shadow tomography addresses the task of efficiently predicting many expectation values of an unknown quantum state from randomized measurements on comparatively few copies. Existin…
The log log jam in Gaussian state tomography
Sitan Chen, Weiyuan Gong, Qi Ye +1
The paper proves that any tomography protocol using Gaussian measurements on continuous‑variable systems inevitably incurs a sample complexity that scales as log log E with the sys…
Deliberation via Matching
Kamesh Munagala, Qilin Ye, Ian Zhang
We study deliberative social choice, where voters engage in small-group discussions to output collective preferences that are then aggregated by a social choice rule. We introduce…
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…
Transformers Provably Learn Algorithmic Solutions for Graph Connectivity, But Only with the Right Data
Qilin Ye, Deqing Fu, Robin Jia +1
Transformers often fail to learn generalizable algorithms, instead relying on brittle heuristics. Using graph connectivity as a testbed, we explain this phenomenon both theoretical…
Simultaneous variances of Pauli strings, weighted independence numbers, and a new kind of perfection of graphs
Zhen-Peng Xu, Jie Wang, Qi Ye +3
A set of Pauli stings is well characterized by the graph that encodes its commutatitivity structure, i.e., by its frustration graph. This graph provides a natural interface between…