Which options exist for NISQ-friendly linear response formulations?

• URL: http://arxiv.org/abs/2312.13937v1
• Date: Thu, 21 Dec 2023 15:30:53 GMT
• Title: Which options exist for NISQ-friendly linear response formulations?
• Authors: Karl Michael Ziems, Erik Rosendahl Kjellgren, Peter Reinholdt, Phillip W. K. Jensen, Stephan P. A. Sauer, Jacob Kongsted, Sonia Coriani
• Abstract summary: We introduce a resource-efficient quantum linear response formulation (qLR) for near-term quantum computers. Therein, we investigate eight different near-term qLR formalisms that utilize novel operator transformations. We identify two promising candidates dubbed proj LRSD'' and all-proj LRSD''
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Linear response (LR) theory is a powerful tool in classic quantum chemistry crucial to understanding photo-induced processes in chemistry and biology. However, performing simulations for large systems and in the case of strong electron correlation remains challenging. Quantum computers are poised to facilitate the simulation of such systems, and recently, a quantum linear response formulation (qLR) was introduced. To apply qLR to near-term quantum computers beyond a minimal basis set, we here introduce a resource-efficient qLR theory using a truncated active-space version of the multi-configurational self-consistent field LR ansatz. Therein, we investigate eight different near-term qLR formalisms that utilize novel operator transformations that allow the qLR equations to be performed on near-term hardware. Simulating excited state potential energy curves and absorption spectra for various test cases, we identify two promising candidates dubbed ``proj LRSD'' and ``all-proj LRSD''.

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