Understanding Quantum Imaginary Time Evolution and its Variational form
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914072381882368 |
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| author | Anglés-Castillo, Andreu Ion, Luca Pandit, Tanmoy Gomez-Lurbe, Rafael Martínez, Rodrigo Garcia-March, Miguel Angel |
| author_facet | Anglés-Castillo, Andreu Ion, Luca Pandit, Tanmoy Gomez-Lurbe, Rafael Martínez, Rodrigo Garcia-March, Miguel Angel |
| contents | Many computationally hard problems can be encoded in quantum Hamiltonians. The solution to these problems is given by the ground states of these Hamiltonians. A state-of-the-art algorithm for finding the ground state of a Hamiltonian is the so-called Quantum Imaginary Time Evolution (QITE) which approximates imaginary time evolution by a unitary evolution that can be implemented in quantum hardware. In this paper, we review the original algorithm together with a comprehensive computer program, as well as, the variational version of it. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_02015 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Understanding Quantum Imaginary Time Evolution and its Variational form Anglés-Castillo, Andreu Ion, Luca Pandit, Tanmoy Gomez-Lurbe, Rafael Martínez, Rodrigo Garcia-March, Miguel Angel Quantum Physics Many computationally hard problems can be encoded in quantum Hamiltonians. The solution to these problems is given by the ground states of these Hamiltonians. A state-of-the-art algorithm for finding the ground state of a Hamiltonian is the so-called Quantum Imaginary Time Evolution (QITE) which approximates imaginary time evolution by a unitary evolution that can be implemented in quantum hardware. In this paper, we review the original algorithm together with a comprehensive computer program, as well as, the variational version of it. |
| title | Understanding Quantum Imaginary Time Evolution and its Variational form |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2510.02015 |