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Quantum information carriers with higher dimension than the canonical qubitoffer significant advantages. However, manipulating such systems is extremelydifficult. We show how measurement induced non-linearities can be employed todramatically extend the range of possible transforms on biphotonic qutrits; thethree level quantum systems formed by the polarisation of two photons in thesame spatio-temporal mode. We fully characterise the biphoton-photonentanglement that underpins our technique, thereby realising the first instanceof qubit-qutrit entanglement. We discuss an extension of our technique togenerate qutrit-qutrit entanglement and to manipulate any bosonic encoding ofquantum information.

Manipulating biphotonic qutrits