Porous media constitute a broad class of materials which play key roles in geological processes and the modern chemical industry. The properties of confined fluids may be strongly modified from their bulk counterparts. Water confined within microporous minerals presents an extreme case, where the water is trapped within cages which are not much larger than the water molecule itself. For example, water in the mineral hemimorphite forms a planar hydrogen bond network with hydroxyl groups in the crystal, producing a network of two-dimensional (2D) ice. The recent QENS study of hemimorphite provides clear evidence that the confined water undergoes fast local diffusion with characteristic times similar to bulk water at 300K, even when the mineral is cooled to cryogenic temperatures. We are proposing to study the quantum state of the water protons in this 2D ice using the VESUVIO spectrometer.