Finding a maximally correlated state - Simultaneous Schmidt decomposition of bipartite pure states

Tohya Hiroshima, Masahito Hayashi

We consider a bipartite mixed state of the form, $ρ=\sum_{α, β=1}^{l}a_{αβ} | ψ_α> < ψ_ β}| $, where $|{\psi }_{\alpha }>$ are normalized bipartite state vectors, and matrix $(a_{\alpha \beta })$ is posit…