The joint numerical range W (F) of three hermitian 3-by-3 matrices F=(F 1, F 2, F 3) is a
convex and compact subset in R 3. Generically we find that W (F) is a three-dimensional …

Kippenhahn's theorem asserts that the numerical range of a matrix is the convex hull of a
certain algebraic curve. Here, we show that the joint numerical range of finitely many …

Identifying Hamiltonian of a quantum system is of vital importance for quantum information
processing. In this article, we realized and benchmarked a quantum Hamiltonian …

We examine the problem of whether a multipartite pure quantum state can be uniquely
determined by its reduced density matrices. We show that a generic pure state in three party …

Studying the geometry of sets appearing in various problems of quantum information helps
in understanding different parts of the theory. It is thus worthwhile to approach quantum …

Energy gap, the difference between the energy of the ground-state of a given Hamiltonian
and the energy of its first excited state, is a parameter of a critical importance in analysis of …

We prove that every symmetric separable state admits a convex decomposition into
symmetric pure product states. While the result is not new in itself, here we focus on convex …