92 citations · 501 across the 27 of their papers we have counts for
5 papers · 1 filter
Critical sets of the total variance of state detect all SLOCC entanglement classes
Adam Sawicki, Michał Oszmaniec, Marek Kuś
We present a general algorithm for finding all classes of pure multiparticle states equivalent under Stochastic Local Operations and Classsical Communication (SLOCC). We parametriz…
Convexity of momentum map, Morse index, and quantum entanglement
Adam Sawicki, Michał Oszmaniec, Marek Kuś
We analyze form the topological perspective the space of all SLOCC (Stochastic Local Operations with Classical Communication) classes of pure states for composite quantum systems.…
When is a pure state of three qubits determined by its single-particle reduced density matrices?
Adam Sawicki, Michael Walter, Marek Kuś
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 exac…
Bipartite entanglement, spherical actions and geometry of local unitary orbits
Alan Huckleberry, Marek Kuś, Adam Sawicki
We use the geometry of the moment map to investigate properties of pure entangled states of composite quantum systems. The orbits of equally entangled states are mapped by the mome…
Four-qubit entangled symmetric states with positive partial transpositions
J. Tura, R. Augusiak, P. Hyllus +3
We solve the open question of the existence of four-qubit entangled symmetric states with positive partial transpositions (PPT states). We reach this goal with two different approa…