82 citations · 178 across the 16 of their papers we have counts for
6 papers · 1 filter
Qubit-qudit states with positive partial transpose
Lin Chen, Dragomir Z. Djokovic
We show that the length of a qubit-qutrit separable state is equal to the max(r,s), where r is the rank of the state and s is the rank of its partial transpose. We refer to the ord…
On polynomial invariants of several qubits
Andreas Osterloh, Dragomir Z. Djokovic
It is a recent observation that entanglement classification for qubits is closely related to local $SL(2,\CC)$-invariants including the invariance under qubit permutations, which h…
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…
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…