Advantages of discrete variable representation in variational quantum eigensolvers for vibrational energy calculations

Key Points

• The research investigates how discrete variable representation enhances the efficiency of variational quantum eigensolvers for molecular vibrations.
• Used discrete variable representation to reformulate quantum algorithms.
• Examined the measurement complexity reduction using DVR.
• Analyzed the circuit depth necessary for accurate vibrational spectrum reproduction.
• DVR significantly decreases measurement complexity to polynomial scaling.
• Shallow circuits were developed that effectively replicate vibrational spectra.