82 citations · 311 across the 36 of their papers we have counts for
6 papers · 1 filter
Normal Forms and Tensor Ranks of Pure States of Four Qubits
Oleg Chterental, Dragomir Z. Djokovic
We examine the SLOCC classification of the (non-normalized) pure states of four qubits obtained by F. Verstraete et al. The rigorous proofs of their basic results are provided and…
Poincare series of some pure and mixed trace algebras of two generic matrices
Dragomir Z. Djokovic
We work over a field K of characteristic zero. The Poincare series for the algebra C_{n,2} of GL_n-invariants and the algebra T_{n,2} of GL_n-concomitants of two generic n x n matr…
Dimensions of generic local orbits of multipartite quantum systems
Dragomir Z. Djokovic
We consider the action of the group of local unitary transformations, U(m) x U(n), on the set of (mixed) states W of the bipartite m x n quantum system. We prove that the generic U…
Multigraded Poincare series for mixed states of two qubits and the boundary of the set of separable states
Dragomir Z. Djokovic
Let M be the set of mixed states and S the set of separable states of the two-qubit system, and G = SU(2) x SU(2) the group of local unitary transformations (ignoring the overall p…
Poincare series for local unitary invariants of mixed states of the qubit-qutrit system
Dragomir Z. Djokovic
We consider the mixed states of the bipartite quantum system with the first party a qubit and the second a qutrit. The group of local unitary transformations of the system, ignorin…
Normal forms for orthogonal similarity classes of skew-symmetric matrices
Dragomir Z Djokovic, Konstanze Rietsch, Kaiming Zhao
Let F be an algebraically closed field of characteristic different from 2. We show that every nonsingular skew-symmetric n by n matrix X over F is orthogonally similar to a bidiago…