Quantum metrology using levitated magnets

There has been much interest in testing the quantum nature of gravity through table-top opto-mechanical experiments. In particular levito-dynamic systems have been proposed as ultrasensitive force and acceleration sensors and could thus also become a strong candidate for testing the possibility of entangling two massive objects via the gravitational field. These levito-dynamic set-ups promise low decoherence environments which should allow us to probe the quantum dynamics of massive mechanical objects. We present recent theoretical developments for experimental set-ups which utilise a system of massive particles levitated in superconducting traps. Coupling these mechanical oscillators via gravity harbours the promise of new types of high fidelity measurement of Newton's constant, as well as providing a new and promising play ground for testing different quantum models.