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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.01131 |
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| _version_ | 1866909444596563968 |
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| author | Avtandilyan, A. A. Pogosov, W. V. |
| author_facet | Avtandilyan, A. A. Pogosov, W. V. |
| contents | The potential of employing higher orders of the Trotter-Suzuki decomposition of the evolution operator for more effective simulations of quantum systems on a noisy quantum computer is explored. By examining the transverse-field Ising model and the XY model, it is demonstrated that when the gate error is decreased by approximately an order of magnitude relative to typical modern values, higher-order Trotterization becomes advantageous. This form of Trotterization yields a global minimum of the overall simulation error, comprising both the mathematical error of Trotterization and the physical error arising from gate execution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_01131 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Optimal-order Trotter-Suzuki decomposition for quantum simulation on noisy quantum computers Avtandilyan, A. A. Pogosov, W. V. Quantum Physics The potential of employing higher orders of the Trotter-Suzuki decomposition of the evolution operator for more effective simulations of quantum systems on a noisy quantum computer is explored. By examining the transverse-field Ising model and the XY model, it is demonstrated that when the gate error is decreased by approximately an order of magnitude relative to typical modern values, higher-order Trotterization becomes advantageous. This form of Trotterization yields a global minimum of the overall simulation error, comprising both the mathematical error of Trotterization and the physical error arising from gate execution. |
| title | Optimal-order Trotter-Suzuki decomposition for quantum simulation on noisy quantum computers |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2405.01131 |