Characterising complex quantum systems is a vital task in quantum information science. Quantum tomography, the standard tool used for this purpose, uses a well-designed measurement record to ...

We analyze two popular semidefinite programming relaxations for quadratically constrained quadratic programs with matrix variables. These relaxations are based on vector lifting and on matrix lifting; ...

Vol. 21, No. 1, ET 20th Anniversary Colloquium: Automated Inference and the Future of Econometrics (Feb., 2005), pp. 158-170 (13 pages) This paper proposes a new class of heteroskedastic and ...

Matrix inequalities and means constitute a vibrant area of contemporary mathematical research, blending classical matrix theory with modern applications in numerical analysis, control theory and ...