We investigate how entanglement can enhance two-photon absorption in
a three-level system. First, we employ the Schmidt decomposition to
determine the entanglement properties of the optimal two-photon state to
drive such a transition, and the maximum enhancement which can be
achieved in comparison to the optimal classical pulse. We then adapt the
optimization problem to realistic experimental constraints, where photon
pairs from a down-conversion source are manipulated by local operations
such as spatial light modulators. We derive optimal pulse shaping
functions to enhance the absorption efficiency, and compare the maximal
enhancement achievable by entanglement to the yield of optimally shaped,
separable pulses.