Description
Cavity-array platforms and molecular polaritonic materials are more naturally described by generalized Tavis–Cummings lattice models that incorporate site-dependent nearest-neighbour photon hopping, site-dependent light–matter couplings, and local chemical potentials. These features make the model relevant for realistic light–matter systems, while also making classical simulation challenging beyond small system sizes. In this work, we develop an end-to-end quantum simulation framework for generalized Tavis–Cummings lattice dynamics. We construct explicit block encodings of the model Hamiltonian using quantum data-loading and sampling techniques, including QROM-based oracles and coherent alias sampling. The resulting block encodings are combined with generalized quantum signal processing to simulate closed-system real-time dynamics with controlled approximation and implementation errors.
We then extend the framework to open-system dynamics by implementing discretized Lindblad time steps through their Kraus representations and corresponding Stinespring dilations. We analyze two implementations of this approach. In the first, all jump operators are included deterministically at every time step, covering photon loss, atomic loss, and atomic dephasing. In the second, we apply a qDRIFT-inspired simulation by sampling a single jump operator at each time step according to its probability distribution, reducing per-step circuit cost at the expense of additional sampling error. For each stage of the simulation pipeline, we derive circuit-level complexity estimates and track logical resource costs, including T-gate counts, using Qualtran. Finally, we provide an explicit error analysis connecting block-encoding precision, GQSP approximation, data-loading errors, Hamiltonian-simulation error, stochastic sampling error, and Lindbladian discretization error, yielding practical resource estimates for future simulations of generalized Tavis–Cummings lattice dynamics.
| I am the presenting author | Yes |
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