7 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…
Note on unique representation bases
Yuchen Ding, Jie Wang
Answering affirmatively a 2007 problem of Chen, the first author proved that there is a unique representation basis of and a constant such that $$ A(-x,x)\ge…
A lower bound theorem for -polytopes with vertices
Guillermo Pineda-Villavicencio, Aholiab Tritama, Jie Wang +1
We establish a lower bound theorem for the number of -faces () in a -dimensional polytope (abbreviated as a -polytope) with vertices, extending t…
A lower bound theorem for -polytopes with at most vertices
Guillermo Pineda-Villavicencio, Jie Wang
We prove a lower bound theorem for the number of -faces () in a -dimensional polytope (or -polytope) with up to vertices. Previous lower bound th…
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…
Commutators with multiple unitary symmetry
Shu Li, Jie Wang, Binfeng Wang +1
Commutators are essential in quantum information theory, influencing quantum state symmetries and information storage robustness. This paper systematically investigates the charact…