Alternative Decomposition of Two-Qutrit Pure States and Its Relation with Entanglement Invariants

Abstract

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 $|\Psi >=\frac{p_1}{\sqrt{3}}(|00>+|11>+|22>)+\frac{p_2}{\sqrt{2}}(|01>+|12>)+p_3{e}^{i\theta }|02>$. Similar to the Schmidt decomposition, all two-qutrit pure states can be transformed into the alternative decomposition under local unitary transformations, and the parameter $p_1$ is shown to be an entanglement invariant.

5p 1fig

References in corpus (4)

• Tripartite entanglement versus tripartite nonlocality in 3-qubit GHZ-class states
• Irreducible multi-particle correlations in states without maximal rank
• Only n-Qubit Greenberger-Horne-Zeilinger States are Undetermined by their Reduced Density Matrices
• The Parts Determine the Whole except for n-Qubit Greenberger-Horne-Zeilinger States

Cited by in corpus (1)

• Perfect teleportation with a partially entangled quantum channel