QLunch: Alexander Blomenhofer

Speaker: Alexander Blomenhofer

Title: Real Quantum de Finetti representations in polynomial optimization

Abstract: Abstract: In this talk, we discuss the sums-of-squares hierarchy for polynomial optimization on the sphere. Recent advances by Fang and Fawzi showed a convergence rate of O(1/r²) of the r-th approximation level towards the minimum. Using conic duality, we draw a connection with quantum de Finetti representations. In particular, we discuss a class of real matrices, which admit O(1/r²)-approximate representations as real-separable states after tracing out r registers.