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Understanding complex chemical systems -- such as biomolecules, catalysts,and novel materials -- is a central goal of quantum simulations. Near-termstrategies hinge on the use of variational quantum eigensolver (VQE) algorithmscombined with a suitable ansatz. However, straightforward application of manychemically-inspired ansatze yields prohibitively deep circuits. In this work,we employ several circuit optimization methods tailored for trapped-ion quantumdevices to enhance the feasibility of intricate chemical simulations. Thetechniques aim to lessen the depth of the unitary coupled cluster with singlesand doubles (uCCSD) ansatz's circuit compilation, a considerable challenge oncurrent noisy quantum devices. Furthermore, we use symmetry-inspired classicalpost-selection methods to further refine the outcomes and minimize errors inenergy measurements, without adding quantum overhead. Our strategies encompassoptimal mapping from orbital to qubit, term reordering to minimize entanglinggates, and the exploitation of molecular spin and point group symmetry toeliminate redundant parameters. The inclusion of error mitigation viapost-selection based on known molecular symmetries improves the results to nearmilli-Hartree accuracy. These methods, when applied to a benzene moleculesimulation, enabled the construction of an 8-qubit circuit with 69 two-qubitentangling operations, pushing the limits for variational quantum eigensolver(VQE) circuits executed on quantum hardware to date.

Molecular Symmetry in VQE: A Dual Approach for Trapped-Ion Simulations of Benzene