A COMPARATIVE STUDY OF VARIATIONAL QUANTUM EIGENSOLVER AND DENSITY MATRIX RENORMALIZATION GROUP FOR QUANTUM CHEMISTRY APPLICATIONS

Authors

  • Dr. Sudhanshu Shekhar

Keywords:

Variational Quantum Eigensolver (VQE); Density Matrix Renormalization Group (DMRG); Quantum Chemistry; Quantum Computing; Electronic Structure; Ground-State Energy; Strongly Correlated Systems; Hybrid Quantum-Classical Algorithms; Tensor Networks; NISQ Devices; Molecular Simulation; Quantum Algorithms.

Abstract

The accurate simulation of molecular electronic structures is afundamental challenge in quantum chemistry due to the exponential growthof the Hilbert space with system size. Classical computational methods often become impractical for strongly correlated electron systems, motivating thedevelopment of quantum computing approaches. The Variational QuantumEigensolver (VQE), a hybrid quantum-classical algorithm

References

1. Aspuru-Guzik, A., Dutoi, A. D., Love, P. J., & Head-Gordon, M. (2005). Simulated quantum computation of molecular energies. Science,

309(5741), 1704–1707.

2. Peruzzo, A., McClean, J., Shadbolt, P., et al. (2014). A variational eigenvalue solver on a photonic quantum processor. Nature Communications, 5, 4213.

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Published

2023-04-20

How to Cite

Dr. Sudhanshu Shekhar. (2023). A COMPARATIVE STUDY OF VARIATIONAL QUANTUM EIGENSOLVER AND DENSITY MATRIX RENORMALIZATION GROUP FOR QUANTUM CHEMISTRY APPLICATIONS . Journal of Computational Analysis and Applications (JoCAAA), 31(4), 3145–3158. Retrieved from https://eudoxuspress.com/index.php/pub/article/view/5757

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