Quantum computation of eigenvalues within target intervals
- There is widespread interest in calculating the energy spectrum of a Hamiltonian, for example to analyze optical spectra and energy deposition by ions in materials. In this study, we propose a quantum algorithm that samples the set of energies within a target energy-interval without requiring good approximations of the target energy-eigenstates. We discuss the implementation of direct and iterative amplification protocols and give resource and runtime estimates. We illustrate initial applications by amplifying excited states on molecular hydrogen.
| Author: | Phillip W. K. Jensen, Lasse Bjørn Kristensen, Jakob S. KottmannORCiDGND, Alán Aspuru-Guzik |
|---|---|
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/102006 |
| ISSN: | 2058-9565OPAC |
| Parent Title (English): | Quantum Science and Technology |
| Publisher: | IOP Publishing |
| Place of publication: | Philadelphia, PA |
| Type: | Article |
| Language: | English |
| Year of first Publication: | 2021 |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2023/02/14 |
| Tag: | Atomic and Molecular Physics, and Optics; Electrical and Electronic Engineering; Materials Science (miscellaneous); Physics and Astronomy (miscellaneous) |
| Volume: | 6 |
| Issue: | 1 |
| First Page: | 015004 |
| DOI: | https://doi.org/10.1088/2058-9565/abc096 |
| Institutes: | Fakultät für Angewandte Informatik |
| Fakultät für Angewandte Informatik / Institut für Informatik | |
| Fakultät für Angewandte Informatik / Institut für Informatik / Professur für Quantenalgorithmik |
