Operator-Projected Variational Quantum Imaginary Time Evolution
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arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910610246074368 |
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| author | Anuar, Aeishah Ameera Jamet, Francois Gironella, Fabio Simkovic IV, Fedor Rossi, Riccardo |
| author_facet | Anuar, Aeishah Ameera Jamet, Francois Gironella, Fabio Simkovic IV, Fedor Rossi, Riccardo |
| contents | Variational Quantum Imaginary Time Evolution (VQITE) is a leading technique for ground state preparation on quantum computers. A significant computational challenge of VQITE is the determination of the quantum geometric tensor. We show that requiring the imaginary-time evolution to be correct only when projected onto a chosen set of operators allows to achieve a twofold reduction in circuit depth by bypassing fidelity estimations, and reduces measurement complexity from quadratic to linear in the number of parameters. We demonstrate by a simulation of the transverse-field Ising model that our algorithm achieves a several orders of magnitude improvement in the number of measurements required for the same accuracy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_12018 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Operator-Projected Variational Quantum Imaginary Time Evolution Anuar, Aeishah Ameera Jamet, Francois Gironella, Fabio Simkovic IV, Fedor Rossi, Riccardo Quantum Physics Other Condensed Matter Variational Quantum Imaginary Time Evolution (VQITE) is a leading technique for ground state preparation on quantum computers. A significant computational challenge of VQITE is the determination of the quantum geometric tensor. We show that requiring the imaginary-time evolution to be correct only when projected onto a chosen set of operators allows to achieve a twofold reduction in circuit depth by bypassing fidelity estimations, and reduces measurement complexity from quadratic to linear in the number of parameters. We demonstrate by a simulation of the transverse-field Ising model that our algorithm achieves a several orders of magnitude improvement in the number of measurements required for the same accuracy. |
| title | Operator-Projected Variational Quantum Imaginary Time Evolution |
| topic | Quantum Physics Other Condensed Matter |
| url | https://arxiv.org/abs/2409.12018 |