Quantum Shortcut to High-Fidelity State Preparation in a Jaynes-Cummings Lattice

We utilize the counter-diabatic driving approach to achieve a quantum shortcut to high-fidelity state preparation in a two-site Jaynes-Cummings (JC) Lattice. Counter-diabatic Hamiltonians can eliminate undesired diabatic transitions during an adiabatic evolution and enable high-fidelity state preparation. However, the practical implementation of such Hamiltonians is often challenging. Here we present a counter-diabatic Hamiltonian for a two-site JC lattice with a single polariton, which can be realized by simply tuning local qubit-cavity couplings in the JC lattice. We then extend this approach to state preparation in a two-site lattice with two polaritons and multi-site lattices with one polariton, where the counter-diabatic Hamiltonian includes non-local couplings. Our numerical result shows that this approach can be robust against errors in the ramping parameters.