We analyze from the topological perspective the space of all SLOCC (Stochastic Local
Operations with Classical Communication) classes of pure states for composite quantum …

Using techniques from symplectic geometry, we prove that a pure state of three qubits is up
to local unitaries uniquely determined by its one-particle reduced density matrices exactly …

Entanglement polytopes have been recently proposed as a way of witnessing the stochastic
local operations and classical communication (SLOCC) multipartite entanglement classes …

Given L-qubit states with the fixed spectra of reduced one-qubit density matrices, we find a
formula for the minimal number of invariant polynomials needed for solving local unitary …

We study the local unitary equivalence for two and three-qubit mixed states by investigating
the invariants under local unitary transformations. For two-qubit system, we prove that the …

The dependence of the (quasi-) saturation of the generalized Pauli constraints on the pair
potential is studied for ground states of few-fermion systems. For this, we consider spinless …

We review a geometric approach to classification and examination of quantum correlations
in composite systems. Since quantum information tasks are usually achieved by …

A bstract We provide an analytical tripartite-study from the generalized R-matrix. It provides
the upper bound of the maximum violation of Mermin's inequality. For a generic 2-qubit pure …

We study consequences of applying formalism of symplectic geometry to quantum
mechanics. We propose a physical interpretation of a symplectic indicator of entanglement …

The fidelity and local unitary transformation are two widely useful notions in quantum
physics. We study two constrained optimization problems in terms of the maximal and …