Feedback-based Quantum Algorithm Inspired by Counterdiabatic Driving
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arXiv
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| Autori principali: | , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913539639214080 |
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| author | Malla, Rajesh K. Sukeno, Hiroki Yu, Hongye Wei, Tzu-Chieh Weichselbaum, Andreas Konik, Robert M. |
| author_facet | Malla, Rajesh K. Sukeno, Hiroki Yu, Hongye Wei, Tzu-Chieh Weichselbaum, Andreas Konik, Robert M. |
| contents | In recent quantum algorithmic developments, a feedback-based approach has shown promise for preparing quantum many-body system ground states and solving combinatorial optimization problems. This method utilizes quantum Lyapunov control to iteratively construct quantum circuits. Here, we propose a substantial enhancement by implementing a protocol that uses ideas from quantum Lyapunov control and the counterdiabatic driving protocol, a key concept from quantum adiabaticity. Our approach introduces an additional control field inspired by counterdiabatic driving. We apply our algorithm to prepare ground states in one-dimensional quantum Ising spin chains. Comprehensive simulations demonstrate a remarkable acceleration in population transfer to low-energy states within a significantly reduced time frame compared to conventional feedback-based quantum algorithms. This acceleration translates to a reduced quantum circuit depth, a critical metric for potential quantum computer implementation. We validate our algorithm on the IBM cloud computer, highlighting its efficacy in expediting quantum computations for many-body systems and combinatorial optimization problems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_15303 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Feedback-based Quantum Algorithm Inspired by Counterdiabatic Driving Malla, Rajesh K. Sukeno, Hiroki Yu, Hongye Wei, Tzu-Chieh Weichselbaum, Andreas Konik, Robert M. Quantum Physics In recent quantum algorithmic developments, a feedback-based approach has shown promise for preparing quantum many-body system ground states and solving combinatorial optimization problems. This method utilizes quantum Lyapunov control to iteratively construct quantum circuits. Here, we propose a substantial enhancement by implementing a protocol that uses ideas from quantum Lyapunov control and the counterdiabatic driving protocol, a key concept from quantum adiabaticity. Our approach introduces an additional control field inspired by counterdiabatic driving. We apply our algorithm to prepare ground states in one-dimensional quantum Ising spin chains. Comprehensive simulations demonstrate a remarkable acceleration in population transfer to low-energy states within a significantly reduced time frame compared to conventional feedback-based quantum algorithms. This acceleration translates to a reduced quantum circuit depth, a critical metric for potential quantum computer implementation. We validate our algorithm on the IBM cloud computer, highlighting its efficacy in expediting quantum computations for many-body systems and combinatorial optimization problems. |
| title | Feedback-based Quantum Algorithm Inspired by Counterdiabatic Driving |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2401.15303 |