ALTERNATIVE DECOMPOSITION OF TWO-QUTRIT PURE STATES AND ITS RELATION WITH ENTANGLEMENT INVARIANTS.

Based on maximally entangled states in the full- and sub-spaces of two-qutrits, we present an alternative decomposition of two-qutrit pure states in a form $|\Psi\rangle = \frac{p_{1}}{\sqrt{3}}(|00\rangle + |11\rangle + |22\rangle) + \frac{p_{2}}{\sqrt{2}}(|01\rangle + |12\rangle) + p_{3}e^{i\theta}|02\rangle$. Similar to the Schmidt decomposition, all two-qutrit pure states can be transformed into the alternative decomposition under local unitary transformations, and the parameter p1 is shown to be an entanglement invariant. [ABSTRACT FROM AUTHOR]