Robust measurements of $n$-point correlation functions of driven-dissipative quantum systems on a digital quantum computer
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2022
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| _version_ | 1866913246130208768 |
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| author | Del Re, Lorenzo Rost, Brian Foss-Feig, Michael Kemper, A. F. Freericks, J. K. |
| author_facet | Del Re, Lorenzo Rost, Brian Foss-Feig, Michael Kemper, A. F. Freericks, J. K. |
| contents | We propose and demonstrate a unified hierarchical method to measure $n$-point correlation functions that can be applied to driven, dissipative, or otherwise open or non-equilibrium quantum systems. In this method, the time evolution of the system is repeatedly interrupted by interacting an ancilla qubit with the system through a controlled operation, and measuring the ancilla immediately afterwards. We discuss the robustness of this method as compared to other ancilla-based interferometric techniques (such as the Hadamard test), and highlight its advantages for near-term quantum simulations of open quantum systems. We implement the method on a quantum computer in order to measure single-particle Green's functions of a driven-dissipative fermionic system. This work shows that dynamical correlation functions for driven-dissipative systems can be robustly measured with near-term quantum computers. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2204_12400 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Robust measurements of $n$-point correlation functions of driven-dissipative quantum systems on a digital quantum computer Del Re, Lorenzo Rost, Brian Foss-Feig, Michael Kemper, A. F. Freericks, J. K. Quantum Physics We propose and demonstrate a unified hierarchical method to measure $n$-point correlation functions that can be applied to driven, dissipative, or otherwise open or non-equilibrium quantum systems. In this method, the time evolution of the system is repeatedly interrupted by interacting an ancilla qubit with the system through a controlled operation, and measuring the ancilla immediately afterwards. We discuss the robustness of this method as compared to other ancilla-based interferometric techniques (such as the Hadamard test), and highlight its advantages for near-term quantum simulations of open quantum systems. We implement the method on a quantum computer in order to measure single-particle Green's functions of a driven-dissipative fermionic system. This work shows that dynamical correlation functions for driven-dissipative systems can be robustly measured with near-term quantum computers. |
| title | Robust measurements of $n$-point correlation functions of driven-dissipative quantum systems on a digital quantum computer |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2204.12400 |