https://doi.org/10.1140/epja/s10050-023-01183-5
Review
Quantum techniques for eigenvalue problems
Facility for Rare Isotope Beams and Department of Physics and Astronomy, Michigan State University, 48824, East Lansing, MI, USA
Received:
7
July
2023
Accepted:
25
October
2023
Published online:
20
November
2023
This article is a brief introduction to quantum algorithms for the eigenvalue problem in quantum many-body systems. Rather than a broad survey of topics, we focus on providing a conceptual understanding of several quantum algorithms that cover the essentials of adiabatic evolution, variational methods, phase detection algorithms, and several other approaches. For each method, we discuss the potential advantages and remaining challenges.
The original online version of this article was revised: The equation “
” in the preceding sentence, just before Eq. (6), was inaccurately presented.
An erratum to this article is available online at https://doi.org/10.1140/epja/s10050-024-01244-3.
Copyright comment corrected publication 2024
Copyright comment 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.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. corrected publication 2024. 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.
