Accessing ground state and excited states energies in many-body system after symmetry restoration using quantum computers

• URL: http://arxiv.org/abs/2111.13080v1
• Date: Thu, 25 Nov 2021 13:42:27 GMT
• Title: Accessing ground state and excited states energies in many-body system after symmetry restoration using quantum computers
• Authors: E. A. Ruiz Guzman and D. Lacroix
• Abstract summary: We explore the possibility to perform symmetry restoration with the variation after projection technique on a quantum computer. The final goal is to develop configuration interaction techniques based on many-body trial states pre-optimized on a quantum computer.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We explore the possibility to perform symmetry restoration with the variation after projection technique on a quantum computer followed by additional post-processing. The final goal is to develop configuration interaction techniques based on many-body trial states pre-optimized on a quantum computer. We show how the projection method used for symmetry restoration can prepare optimized states that could then be employed as initial states for quantum or hybrid quantum-classical algorithms. We use the quantum phase estimation and quantum Krylov approaches for the post-processing. The latter method combined with the quantum variation after projection (Q-VAP) leads to very fast convergence towards the ground-state energy. The possibility to access excited states energies is also discussed. Illustrations of the different techniques are made using the pairing hamiltonian.

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