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Variational Quantum Eigensolver (VQE)

A hybrid quantum–classical algorithm that finds the lowest-energy 3D conformation of a short peptide on a tetrahedral lattice with a Miyazawa–Jernigan contact potential (Robert et al. 2021).

At a glance

Energy modelTetrahedral lattice + full Miyazawa–Jernigan contact potential (20 amino acids).
AnsatzRealAmplitudes, reps = 2, full entanglement.
OptimizerCVaR objective + Differential Evolution (population, F = 0.5, CR = 0.7).
QubitsSet by chain length: length-7 → 9 qubits, length-8 → 13 qubits.
ValidatedAPRLRFY → −1.425 (exact match); DRVYIHPF → −1.925 with P(GS) up to 60.6% via α-annealing.