groebner bases 1julia package 1noncommutative algebra 1polynomial optimization 1quantum information 1
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quant-ph2026
PCPOP.jl: A Julia package for partially commutative polynomial optimization
Moisés Bermejo Morán, Abhishek Mishra
PCPOP.jl is a Julia package for polynomial optimization that supports non‑commutative, tracial, trace, and state polynomial problems, offering exact arithmetic, Gröbner basis reduc…
quant-ph2026
Partially-Commutative Polynomial Optimization
Abhishek Mishra, Moisés Bermejo Morán, Stefano Pironio
Semidefinite programming hierarchies for commutative and non-commutative polynomial optimization represent a powerful computational tool with many applications in quantum informati…
quant-ph2024
Uncertainty relations from state polynomial optimization
Moisés Bermejo Morán, Felix Huber
Uncertainty relations are a fundamental feature of quantum mechanics. How can these relations be found systematically? Here we develop a semidefinite programming hierarchy for addi…