https://doi.org/10.1140/epjp/s13360-025-06461-3
Regular Article
Shallow quantum circuits are robust hunters for quantum many-body scars
1
Center for Nonlinear and Complex Systems, Dipartimento di Scienza e Alta Tecnologia, Università degli Studi dell’Insubria, via Valleggio 11, 22100, Como, Italy
2
Istituto Nazionale di Fisica Nucleare, Sezione di Milano, via Celoria 16, 20133, Milano, Italy
3
Consiglio Nazionale delle Ricerche, Istituto di Fotonica e Nanotecnologie, via Valleggio 11, 22100, Como, Italy
4
Center for Theoretical Physics of Complex Systems, Institute for Basic Science (IBS), 34126, Daejeon, Korea
5
Basic Science Program, Korea University of Science and Technology (UST), 34113, Daejeon, Republic of Korea
6
CNR-SPIN, Via Dodecaneso 33, 16146, Genova, Italy
7
NEST, Istituto Nanoscienze-CNR, I-56126, Pisa, Italy
8
ICTP South American Institute for Fundamental Research, Instituto de Física Teórica, UNESP - Univ. Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz 271, 01140-070, São Paulo, SP, Brazil
Received:
21
March
2025
Accepted:
21
May
2025
Published online:
11
June
2025
Presently, noisy intermediate-scale quantum computers encounter significant technological challenges that make it difficult to generate large amounts of entanglement. We leverage this technological constraint as a resource and demonstrate that a shallow variational eigensolver can be trained to target quantum many-body scar states successfully. Scars are low-entanglement high-energy eigenstates of quantum many-body Hamiltonians, which are sporadic and immersed in a sea of volume-law eigenstates. We show that the algorithm is robust and can be used as a versatile diagnostic tool to uncover quantum many-body scars in arbitrary physical systems.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
