3 papers
quant-ph2026
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…
quant-ph2025
Self-testing in prepare-and-measure scenarios and a robust version of Wigner's theorem
Miguel Navascues, Károly F. Pál, Tamás Vértesi +1
We consider communication scenarios where one party sends quantum states of known dimensionality , prepared with an untrusted apparatus, to another, distant party, who probes th…
quant-ph2024
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…