  In noisy quantum systems, achieving high-fidelity state preparation using the
adiabatic approach faces a dilemma: either extending the evolution time to
reduce diabatic transitions or shortening it to mitigate decoherence effects.
Here, we present a quantum shortcut to adiabaticity for state preparation in a
finite-sized Jaynes-Cummings lattice by applying a counter-diabatic (CD)
driving along given adiabatic trajectories. Leveraging the symmetry of
eigenstates in this system, we derive a simplified CD Hamiltonian that only
involves local qubit-cavity couplings for a two-site lattice with one polariton
excitation. Additionally, we derive the analytical form of the CD Hamiltonian
for this lattice with two excitations. Our numerical results demonstrate that
this scheme is robust against circuit errors and environmental noise, with
characterization achievable through qubit detection. The simplified CD
Hamiltonian can be implemented in physical systems with realistic parameters.
This approach can lead to a promising pathway to high-fidelity state
preparation within a significantly reduced timescale compared to conventional
adiabatic methods.
