Towards Quantum Simulation of Non-Markovian Open Quantum Dynamics: A Universal and Compact Theory
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arXiv
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| Autori principali: | , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929683620167680 |
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| author | Li, Xiang Lyu, Su-Xiang Wang, Yao Xu, Rui-Xue Zheng, Xiao Yan, YiJing |
| author_facet | Li, Xiang Lyu, Su-Xiang Wang, Yao Xu, Rui-Xue Zheng, Xiao Yan, YiJing |
| contents | Non-Markovianity, the intricate dependence of an open quantum system on its temporal evolution history, holds tremendous implications across various scientific disciplines. However, accurately characterizing the complex non-Markovian effects has posed a formidable challenge for numerical simulations. While quantum computing technologies show promise, a universal theory enabling practical quantum algorithm implementation has been elusive. We address this gap by introducing the dissipaton-embedded quantum master equation in second quantization (DQME-SQ). This exact and compact theory offers two key advantages: representability by quantum circuits and universal applicability to any Gaussian environment. We demonstrate these capabilities through digital quantum simulations of non-Markovian dissipative dynamics in both bosonic and fermionic environments. The DQME-SQ framework opens a new horizon for the efficient exploration of complex open quantum systems by leveraging the rapidly advancing quantum computing technologies. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_17255 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Towards Quantum Simulation of Non-Markovian Open Quantum Dynamics: A Universal and Compact Theory Li, Xiang Lyu, Su-Xiang Wang, Yao Xu, Rui-Xue Zheng, Xiao Yan, YiJing Quantum Physics Strongly Correlated Electrons Chemical Physics Non-Markovianity, the intricate dependence of an open quantum system on its temporal evolution history, holds tremendous implications across various scientific disciplines. However, accurately characterizing the complex non-Markovian effects has posed a formidable challenge for numerical simulations. While quantum computing technologies show promise, a universal theory enabling practical quantum algorithm implementation has been elusive. We address this gap by introducing the dissipaton-embedded quantum master equation in second quantization (DQME-SQ). This exact and compact theory offers two key advantages: representability by quantum circuits and universal applicability to any Gaussian environment. We demonstrate these capabilities through digital quantum simulations of non-Markovian dissipative dynamics in both bosonic and fermionic environments. The DQME-SQ framework opens a new horizon for the efficient exploration of complex open quantum systems by leveraging the rapidly advancing quantum computing technologies. |
| title | Towards Quantum Simulation of Non-Markovian Open Quantum Dynamics: A Universal and Compact Theory |
| topic | Quantum Physics Strongly Correlated Electrons Chemical Physics |
| url | https://arxiv.org/abs/2401.17255 |