14 citations · 61 across the 12 of their papers we have counts for
12 papers
On the ring of local unitary invariants for mixed X-states of two qubits
V. Gerdt, A. Khvedelidze, Yu. Palii
Entangling properties of a mixed 2-qubit system can be described by the local homogeneous unitary invariant polynomials in elements of the density matrix. The structure of the corr…
Constructing SU(2) x U(1) orbit space for qutrit mixed states
Vladimir Gerdt, Arsen Khvedelidze, Yuri Palii
The orbit space , of the group acting adjointly on the state space $\mathfrak{P}(…
Describing orbit space of global unitary actions for mixed qudit states
Vladimir Gerdt, Arsen Khvedelidze, Yuri Palii
The unitary -equivalence relation between elements of the space of mixed states of -dimensional quantum system defines the orbit space $ \math…
Local invariants for mixed qubit-qutrit states
Vladimir Gerdt, Arsen Khvedelidze, Dimitar Mladenov +1
In the present paper few steps are undertaken towards the description of the qubit-qutrit pair - quantum bipartite system composed of two and three level subsystems. The computatio…
On the ring of local polynomial invariants for a pair of entangled qubits
Vladimir Gerdt, Arsen Khvedelidze, Yuri Palii
The entanglement characteristics of two qubits are encoded in the invariants of the adjoint action of SU(2) x SU(2) group on the space of density matrices defined as the space of p…
Towards an algorithmisation of the Dirac constraint formalism
V. Gerdt, A. Khvedelidze, Yu. Palii
Central issues of the Dirac constraint formalism are discussed in relation to the algorithmic methods of commutative algebra based on the Groebner basis techniques. For a wide clas…