Related papers: Nuclear shell-model simulation in digital quantum computers

Nuclear shell-model simulation in digital quantum computers

URL: http://arxiv.org/abs/2302.03641v3
Date: Fri, 15 Sep 2023 14:43:42 GMT
Title: Nuclear shell-model simulation in digital quantum computers
Authors: A. P\'erez-Obiol, A. M. Romero, J. Men\'endez and A. Rios, A. Garc\'ia-S\'aez, B. Juli\'a-D\'iaz
Abstract summary: We present a shell-model quantum circuit design strategy to find nuclear ground states. We quantify the circuit depth, width and number of gates to encode realistic shell-model wavefunctions.
Score: 1.5478949073334747
License: http://creativecommons.org/licenses/by/4.0/
Abstract: The nuclear shell model is one of the prime many-body methods to study the structure of atomic nuclei, but it is hampered by an exponential scaling on the basis size as the number of particles increases. We present a shell-model quantum circuit design strategy to find nuclear ground states by exploiting an adaptive variational quantum eigensolver algorithm. Our circuit implementation is in excellent agreement with classical shell-model simulations for a dozen of light and medium-mass nuclei, including neon and calcium isotopes. We quantify the circuit depth, width and number of gates to encode realistic shell-model wavefunctions. Our strategy also addresses explicitly energy measurements and the required number of circuits to perform them. Our simulated circuits approach the benchmark results exponentially with a polynomial scaling in quantum resources for each nucleus. This work paves the way for quantum computing shell-model studies across the nuclear chart and our quantum resource quantification may be used in configuration-interaction calculations of other fermionic systems.

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