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1. From molecules to qubits
Electronic-structure problems are expressed in a basis, transformed to second-quantized Hamiltonians, and mapped to qubits using Jordan-Wigner, Bravyi-Kitaev, or related encodings. Basis and active-space choices dominate resource needs.
The quantum circuit is one stage in a larger chemistry pipeline.
2. State preparation and energy estimation
Approaches include adiabatic preparation, selected configuration interaction, coupled-cluster-inspired ansatzes, VQE, and phase estimation. Accuracy targets such as chemical accuracy determine depth and repetitions.
State overlap and precision strongly affect resource estimates.
3. Resource realism
Fault-tolerant estimates should include logical qubits, T gates, T-depth, magic-state factories, cycle time, error budget, and total wall-clock time. Compare against evolving classical chemistry.
A useful estimate converts an algorithm into hardware and time requirements.
4. Applied activity
Advanced exercise: derive or simulate one representative result from this module, document assumptions, and produce a one-page technical interpretation for a non-specialist decision maker.