Excited state calculations using variational quantum eigensolver with spin-restricted ansätze and automatically-adjusted constraints

Oct 27, 2021
Published in:
  • npj Computat.Mater. 9 (2023) 1, 13,
  • npj Computational Materials 9 (2023) 1-9
  • Published: Jan 21, 2023
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Abstract: (Springer)
The ground and excited state calculations at key geometries, such as the Frank–Condon (FC) and the conical intersection (CI) geometries, are essential for understanding photophysical properties. To compute these geometries on noisy intermediate-scale quantum devices, we proposed a strategy that combined a chemistry-inspired spin-restricted ansatz and a new excited state calculation method called the variational quantum eigensolver under automatically-adjusted constraints (VQE/AC). Unlike the conventional excited state calculation method, called the variational quantum deflation, the VQE/AC does not require the pre-determination of constraint weights and has the potential to describe smooth potential energy surfaces. To validate this strategy, we performed the excited state calculations at the FC and CI geometries of ethylene and phenol blue at the complete active space self-consistent field (CASSCF) level of theory, and found that the energy errors were at most 2 kcal mol1^{−1} even on the ibm_kawasaki device.
  • Single-molecule fluorescence
  • Theoretical chemistry
  • computer: quantum
  • decoherence: time
  • energy: surface
  • excited state
  • geometry
  • noise
  • enhancement
  • numerical methods