Local invariants for mixed qubit-qutrit states

Details Local invariants for mixed qubit-qutrit states Local invariants for mixed qubit-qutrit states

2011-06-24

arxiv.org/abs/1106.4905v1

Physics

Quantum Physics

20 pages

Scientific paper

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 computational difficulties with the construction of the local unitary polynomial invariants are discussed. Calculations of the Molien functions and Poincare series for the qubit-qubit and qubit-qutrit local unitary invariants are outlined and compared with the known results. The requirement of positive semi-definiteness of the density operator is formulated explicitly as a set of inequalities in five Casimir invariants of the algebra su(6).

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