Strongly Contracted N-Electron Valence State Perturbation Theory Using Reduced Density Matrices from a Quantum Computer

• URL: http://arxiv.org/abs/2210.05702v1
• Date: Tue, 11 Oct 2022 18:04:09 GMT
• Title: Strongly Contracted N-Electron Valence State Perturbation Theory Using Reduced Density Matrices from a Quantum Computer
• Authors: Michal Krompiec, David Mu\~noz Ramo
• Abstract summary: We introduce QRDM-NEVPT2, a hybrid quantum-classical implementation of strongly-contracted N-electron Valence State $2nd$-order Perturbation Theory. We demonstrate, for the first time, a hybrid quantum-classical multi-reference perturbation theory calculation, with the quantum part performed on a quantum computer.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We introduce QRDM-NEVPT2: a hybrid quantum-classical implementation of strongly-contracted N-electron Valence State $2^{nd}$-order Perturbation Theory (SC-NEVPT2), in which the Complete Active Space Configuration Interaction (CASCI) step, capturing static correlation effects, is replaced by a simulation performed on a quantum computer. Subsequently, n-particle Reduced Density Matrices (n-RDMs) measured on a quantum device are used directly in a classical SC-NEVPT2 calculation, which recovers remaining dynamic electron correlation effects approximately. We also discuss the use of the cumulant expansion to approximate the whole 4-RDM matrix or only its zeros. In addition to noiseless state-vector quantum simulations, we demonstrate, for the first time, a hybrid quantum-classical multi-reference perturbation theory calculation, with the quantum part performed on a quantum computer.

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