Short-time simulation of quantum dynamics by Pauli measurements
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866918077413720064 |
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| author | Faehrmann, Paul K. Eisert, Jens Kieferova, Maria Kueng, Richard |
| author_facet | Faehrmann, Paul K. Eisert, Jens Kieferova, Maria Kueng, Richard |
| contents | Simulating the dynamics of complex quantum systems is a central application of quantum devices. Here, we propose leveraging the power of measurements to simulate short-time quantum dynamics of physically prepared quantum states in classical post-processing using a truncated Taylor series approach. While limited to short simulation times, our hybrid quantum-classical method is equipped with rigorous error bounds. It is extendable to estimate low-order Taylor approximations of smooth, time-dependent functions of tractable linear combinations of measurable operators. These insights can be made use of in the context of Hamiltonian learning and device verification, short-time imaginary time evolution, or the application of intractable operations to sub-universal quantum simulators in classical post-processing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_08719 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Short-time simulation of quantum dynamics by Pauli measurements Faehrmann, Paul K. Eisert, Jens Kieferova, Maria Kueng, Richard Quantum Physics Simulating the dynamics of complex quantum systems is a central application of quantum devices. Here, we propose leveraging the power of measurements to simulate short-time quantum dynamics of physically prepared quantum states in classical post-processing using a truncated Taylor series approach. While limited to short simulation times, our hybrid quantum-classical method is equipped with rigorous error bounds. It is extendable to estimate low-order Taylor approximations of smooth, time-dependent functions of tractable linear combinations of measurable operators. These insights can be made use of in the context of Hamiltonian learning and device verification, short-time imaginary time evolution, or the application of intractable operations to sub-universal quantum simulators in classical post-processing. |
| title | Short-time simulation of quantum dynamics by Pauli measurements |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2412.08719 |