3 papers
quant-ph2023
First-order optimality conditions for non-commutative optimization problems
Mateus Araújo, Igor Klep, Andrew J. P. Garner +2
We consider the problem of optimizing the state average of a polynomial of non-commuting variables, over all states and operators satisfying a number of polynomial constraints, and…
hep-th2023
Lorentz-violating extension of scalar QED at finite temperature
M. C. Araújo, J. Furtado, R. V. Maluf
In this work, we calculate the one-loop self-energy corrections to the gauge field in scalar electrodynamics modified by Lorentz-violating terms within the framework of the standar…
quant-ph2023
Semidefinite programming relaxations for quantum correlations
Armin Tavakoli, Alejandro Pozas-Kerstjens, Peter Brown +1
Semidefinite programs are convex optimisation problems involving a linear objective function and a domain of positive semidefinite matrices. Over the last two decades, they have be…