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DOE OSTI · 2570180

Variational Simulation of the Lipkin-Meshkov-Glick Model on a Neutral Atom Quantum Computer

Chinnarasu, R. [Univ. of Wisconsin, Madison, WI (United States)]·Poole, C. [Univ. of Wisconsin, Madison, WI (United States)]·Phuttitarn, L. [Univ. of Wisconsin, Madison, WI (United States)] (ORCID:0000000240129533)·Noori, A. [Univ. of Wisconsin, Madison, WI (United States); Univ. of New South Wales, Sydney, NSW (Australia); IBM Quantum, Yorktown Heights, NY (United States)]·Graham, T. M. [Univ. of Wisconsin, Madison, WI (United States)] (ORCID:0009000724217780)·Coppersmith, S. N. [Univ. of Wisconsin, Madison, WI (United States); Univ. of New South Wales, Sydney, NSW (Australia)] (ORCID:0000000256304893)·Balantekin, A. B. [Univ. of Wisconsin, Madison, WI (United States)] (ORCID:0000000229990111)·Saffman, M. [Univ. of Wisconsin, Madison, WI (United States); Infleqtion, Inc., Madison, WI (United States)] (ORCID:0000000163982097)
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Abstract

We simulate the Lipkin-Meshkov-Glick model using the variational-quantum-eigensolver algorithm on a neutral atom quantum computer. We test the ground-state energy of spin systems with up to 15 spins. Two different encoding schemes are used: an individual spin encoding where each spin is represented by one qubit, and an efficient Gray code encoding scheme that only requires a number of qubits that scales with the logarithm of the number of spins. This more efficient encoding, together with zero-noise extrapolation techniques, is shown to improve the fidelity of the simulated energies with respect to exact solutions.

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BibTeXRIS

Chinnarasu, R. [Univ. of Wisconsin, Madison, WI (United States)], Poole, C. [Univ. of Wisconsin, Madison, WI (United States)], Phuttitarn, L. [Univ. of Wisconsin, Madison, WI (United States)] (ORCID:0000000240129533), Noori, A. [Univ. of Wisconsin, Madison, WI (United States); Univ. of New South Wales, Sydney, NSW (Australia); IBM Quantum, Yorktown Heights, NY (United States)], Graham, T. M. [Univ. of Wisconsin, Madison, WI (United States)] (ORCID:0009000724217780), Coppersmith, S. N. [Univ. of Wisconsin, Madison, WI (United States); Univ. of New South Wales, Sydney, NSW (Australia)] (ORCID:0000000256304893), Balantekin, A. B. [Univ. of Wisconsin, Madison, WI (United States)] (ORCID:0000000229990111), Saffman, M. [Univ. of Wisconsin, Madison, WI (United States); Infleqtion, Inc., Madison, WI (United States)] (ORCID:0000000163982097). 2025-06-12. Variational Simulation of the Lipkin-Meshkov-Glick Model on a Neutral Atom Quantum Computer. https://doi.org/10.1103/prxquantum.6.020350

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