Deterministic transformations of bipartite pure states

• A new method for deterministic bipartite entanglement transformation is presented.
• Solution in lower dimensions is used to obtain transformation in higher dimensions.
• Transformation of states in 3×33×3 dimensions by a single measurement is presented.
• Transformation of states in n×nn×n dimensions by three-outcome measurements is presented.

We propose an explicit protocol for the deterministic transformations of bipartite pure states in any dimension using deterministic transformations in lower dimensions. As an example, explicit solutions for the deterministic transformations of 3⊗33⊗3 pure states by a single measurement are obtained, and an explicit protocol for the deterministic transformations of n⊗nn⊗n pure states by three-outcome measurements is presented.