Quantum Phase Transition of Non-Hermitian Systems using Variational Quantum Techniques
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866916586943676416 |
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| author | Hancock, James Craven, Matthew J. McNeile, Craig Vadacchino, Davide |
| author_facet | Hancock, James Craven, Matthew J. McNeile, Craig Vadacchino, Davide |
| contents | The motivation for studying non-Hermitian systems and the role of $\mathcal{PT}$-symmetry is discussed. We investigate the use of a quantum algorithm to find the eigenvalues and eigenvectors of non-Hermitian Hamiltonians, with applications to quantum phase transitions. We use a recently proposed variational algorithm. The systems studied are the transverse Ising model with both a purely real and a purely complex transverse field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_17003 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum Phase Transition of Non-Hermitian Systems using Variational Quantum Techniques Hancock, James Craven, Matthew J. McNeile, Craig Vadacchino, Davide Quantum Physics High Energy Physics - Lattice 81P45, 81T30, 68Q12 F.1.1 The motivation for studying non-Hermitian systems and the role of $\mathcal{PT}$-symmetry is discussed. We investigate the use of a quantum algorithm to find the eigenvalues and eigenvectors of non-Hermitian Hamiltonians, with applications to quantum phase transitions. We use a recently proposed variational algorithm. The systems studied are the transverse Ising model with both a purely real and a purely complex transverse field. |
| title | Quantum Phase Transition of Non-Hermitian Systems using Variational Quantum Techniques |
| topic | Quantum Physics High Energy Physics - Lattice 81P45, 81T30, 68Q12 F.1.1 |
| url | https://arxiv.org/abs/2501.17003 |