Photo by butaalex from unsplash
Symmetric Informationally Complete Positive Operator Valued Measures (SIC POVM) are families of d2 unit vectors in the complex Cartesian space C such that the complex lines associated to them are… Click to show full abstract
Symmetric Informationally Complete Positive Operator Valued Measures (SIC POVM) are families of d2 unit vectors in the complex Cartesian space C such that the complex lines associated to them are equiangular and maximally angularly separated. We characterize SIC POVMs as minimizers for the trace of any strictly convex function of the Gram matrix associated to their orthogonal projectors. This result extends several known extremal properties of SIC POVMs and is motivated by an application in fiber optics.
Keywords:
sic povms;
optimality sic;
trace optimality;
povms
Journal Title: Journal of Physics A: Mathematical and Theoretical
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Journal of Physics A: Mathematical and Theoretical
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!