Posts tagged: Noncommutative polynomials

Relaxations of parametric and bilevel polynomial optimization problems

Semidefinite programming relaxations of polynomial optimization problems of commuting variables with moment constraints, parametric and bilevel variants.

Posted on . Tags: Noncommutative polynomials, Python, Semidefinite programming

Optimal randomness generation from entangled quantum states

Optimal randomness generation from entangled quantum states: computational appendix to arXiv:1505.03837.

Posted on . Tags: Noncommutative polynomials, Python, Quantum information theory, Semidefinite programming

Detecting a rank loop in the NPA hierarchy

It is possible to detect a rank loop in the hierarchy of SDP relaxations of polynomial optimization problems, but an arbitrary-precision SDP solver is recommended.

Posted on . Tags: Noncommutative polynomials, Semidefinite programming, Quantum information theory, Python

Generating noncommutative monomials with SymPy

A Python solution to generate monomials of noncommutative variables.

Posted on . Tags: Noncommutative polynomials, Python