- Digital quantum simulations and algorithms at "proof of principle" stage; not yet nontrivial.
- Without hardware, development cannot optimize correct figures of merit.
Applications for 32, 64 and 128 qubits
Engage classical scientific computing community by targeting problems near the limit of the state of the art.
Simulation - Use full Hilbert space of and connectivity of trapped ions for simulation. Study condensed matter physics, e.g. dynamical phase transitions and critical phenomena.
Optimization - Use classical computers to find small pieces of large optimization problems. Test and compare heuristics: QAOA with various gate sets, adiabatic, classical algorithms, variational methods with gradient calculations, etc.
Impact of the applications
Sophisticated quantum machines spark exchanges of ideas between quantum and classical computational methods
Potential applications are of broad interest: Optimization, quantum chemistry, condensed matter, particle physics, ...