Quantum computation and quantum simulation with ultracold molecules

Ultracold molecules confined in optical lattices or tweezer traps can be used to process quantum information and simulate the behaviour of many-body quantum systems. Molecules offer several advantages for these applications. They have a large set of stable states with strong transitions between them and long coherence times. Molecules can be prepared in a chosen state with high fidelity, and the state populations can be measured efficiently. Control over their long-range dipole–dipole interactions can enable the entanglement of pairs of molecules, generating interesting and technologically useful many-body states. This Review covers the advances made so far in the field of quantum simulation and computation with ultracold molecules and the challenges still to overcome.