8 papers
A generalization of Frenkel's formula
Shmuel Friedland
We generalize Frenkel's integral formula for traces of operators to operators. The resulting formula holds for bounded self-adjoint positive operators and -Schatten class of com…
Complete invariants for simultaneous similarity
Klaus Bongartz, Shmuel Friedland
Always dealing with an arbitrary field we consider the variety under the action of by simultaneous similarity. We define discrete and continuous inva…
Tensors, entanglement, separability, and their complexity
Shmuel Friedland
The aim of this paper is to show how to characterize the entanglement and separability of d-partite states, and to obtain both known and new results using the modern theory of tens…
Barrier relaxations of the classical and quantum optimal transport problems
Shmuel Friedland
In the last fifteen years a significant progress was achieved by considering an entropic relaxation of the classical multi-partite optimal transport problem (MPOTP). The entropic r…
A semidefinite programming characterization of the Crawford number
Shmuel Friedland, Cynthia Vinzant
We give a semidefinite programming characterization of the Crawford number. We show that the computation of the Crawford number within precision is computable in poly…
A new class of distances on complex projective spaces
Rafał Bistroń, Michał Eckstein, Shmuel Friedland +2
The complex projective space can be interpreted as the space of all quantum pure states of size . A distance on this space, interesting from the persp…
On semidefinite programming characterizations of the numerical radius and its dual norm for quaternionic matrices
Shmuel Friedland
We give a semidefinite programming characterizations of the numerical radius and its dual norm for quaternionic matrices. We show that the computation of the numerical radius and i…
Interior point method in tensor optimal transport
Shmuel Friedland
We study a tensor optimal transport (TOT) problem for discrete measures. This is a linear programming problem on -tensors. We introduces an interior point method (ipm)…