Fermionic Hamiltonians for quantum simulations: a general reduction scheme

Understand

Many-body fermionic quantum calculations performed on analog quantum computers are restricted by the presence of k-local terms, which represent interactions among more than two qubits.

• These originate from the fermion-to-qubit mapping applied to the electronic Hamiltonians.
• Current solutions to this problem rely on perturbation theory in an enlarged Hilbert space.
• The main challenge associated with this technique is that it relies on coupling constants with very different magnitudes.