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Further Reading: Chapter 19 — Variational Quantum Eigensolver (VQE) — Finding Ground State Energies for Chemistry and Materials Science

  1. Peruzzo, A., et al. (2014). "A variational eigenvalue solver on a photonic quantum processor." Nature Communications, 5, 4213.
  2. Kandala, A., et al. (2017). "Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets." Nature, 549(7671), 242–246.
  3. McClean, J. R., et al. (2016). "The theory of variational hybrid quantum-classical algorithms." New Journal of Physics, 18(2), 023023.
  4. Romero, J., et al. (2018). "Strategies for quantum computing molecular energies using the unitary coupled cluster ansatz." Quantum Science and Technology, 4(1), 014008.
  5. Tilly, J., et al. (2022). "The Variational Quantum Eigensolver: A review of methods and best practices." Physics Reports, 986, 1–128.
  6. Temme, K., Bravyi, S., & Gambetta, J. M. (2017). "Error mitigation for short-depth quantum circuits." Physical Review Letters, 119(18), 180509.
  7. Cerezo, M., et al. (2021). "Variational quantum algorithms." Nature Reviews Physics, 3(9), 625–644.
  8. Qiskit Nature Documentation. (2024). IBM Quantum. https://qiskit-community.github.io/qiskit-nature/
  9. McArdle, S., et al. (2020). "Quantum computational chemistry." Reviews of Modern Physics, 92(1), 015003.
  10. Huggins, W. J., et al. (2021). "Virtual distillation for quantum error mitigation." Physical Review X, 11(4), 041036.
  11. Grimsley, H. R., et al. (2019). "An adaptive variational algorithm for exact molecular simulations on a quantum computer." Nature Communications, 10, 3007.
  12. McClean, J. R., et al. (2018). "Barren plateaus in quantum neural network training landscapes." Nature Communications, 9, 4812.
  13. Kandala, A., et al. (2019). "Error mitigation extends the computational reach of a noisy quantum processor." Nature, 567(7749), 491–495.