3 papers
quant-ph2024
A unified approach to quantum de Finetti theorems and SoS rounding via geometric quantization
Sujit Rao
The sum-of-squares hierarchy of semidefinite programs has become a common tool for algorithm design in theoretical computer science, including problems in quantum information. In t…
quant-ph2023
Analysis of sum-of-squares relaxations for the quantum rotor model
Sujit Rao
The noncommutative sum-of-squares (ncSoS) hierarchy was introduced by Navascués-Pironio-Acín as a sequence of semidefinite programming relaxations for approximating values of nonco…
math.AC2021
Macaulay bases of modules
Sujit Rao
We define Macaulay bases of modules, which are a common generalization of Groebner bases and Macaulay -bases to suitably graded modules over a commutative graded -al…