Algorithmic Quantum Simulations of Quantum Thermodynamics
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arXiv
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2025
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| author | Ye, Yangsen Nan, Jue Chen, Dong Zache, Torsten V. Zhu, Qingling Zhang, Yiming Li, Yuan Chen, Xiawei Ying, Chong Zha, Chen Cao, Sirui Li, Shaowei Guo, Shaojun Qian, Haoran Rong, Hao Wu, Yulin Yan, Kai Su, Feifan Deng, Hui Xu, Yu Lin, Jin Gong, Ming Chen, Fusheng Wu, Gang Huo, Yong-Heng Lu, Chao-Yang Peng, Cheng-Zhi Zhu, Xiaobo Li, Xiaopeng Pan, Jian-Wei |
| author_facet | Ye, Yangsen Nan, Jue Chen, Dong Zache, Torsten V. Zhu, Qingling Zhang, Yiming Li, Yuan Chen, Xiawei Ying, Chong Zha, Chen Cao, Sirui Li, Shaowei Guo, Shaojun Qian, Haoran Rong, Hao Wu, Yulin Yan, Kai Su, Feifan Deng, Hui Xu, Yu Lin, Jin Gong, Ming Chen, Fusheng Wu, Gang Huo, Yong-Heng Lu, Chao-Yang Peng, Cheng-Zhi Zhu, Xiaobo Li, Xiaopeng Pan, Jian-Wei |
| contents | Characterizing quantum phases-of-matter at finite-temperature is essential for understanding complex materials and large-scale thermodynamic phenomena. Here, we develop algorithmic protocols for simulating quantum thermodynamics on quantum hardware through quantum kernel function expansion (QKFE), producing the free energy as an analytic function of temperature with uniform convergence. These protocols are demonstrated by simulating transverse field Ising and XY models with superconducting qubits. In both analogue and digital implementations of the QKFE algorithms, we exhibit quantitative agreement of our quantum simulation experiments with the exact results. Our approach provides a general framework for computing thermodynamic potentials on programmable quantum devices, granting access to key thermodynamic properties such as entropy, heat capacity and criticality, with far-reaching implications for material design and drug development. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_22898 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Algorithmic Quantum Simulations of Quantum Thermodynamics Ye, Yangsen Nan, Jue Chen, Dong Zache, Torsten V. Zhu, Qingling Zhang, Yiming Li, Yuan Chen, Xiawei Ying, Chong Zha, Chen Cao, Sirui Li, Shaowei Guo, Shaojun Qian, Haoran Rong, Hao Wu, Yulin Yan, Kai Su, Feifan Deng, Hui Xu, Yu Lin, Jin Gong, Ming Chen, Fusheng Wu, Gang Huo, Yong-Heng Lu, Chao-Yang Peng, Cheng-Zhi Zhu, Xiaobo Li, Xiaopeng Pan, Jian-Wei Quantum Physics Characterizing quantum phases-of-matter at finite-temperature is essential for understanding complex materials and large-scale thermodynamic phenomena. Here, we develop algorithmic protocols for simulating quantum thermodynamics on quantum hardware through quantum kernel function expansion (QKFE), producing the free energy as an analytic function of temperature with uniform convergence. These protocols are demonstrated by simulating transverse field Ising and XY models with superconducting qubits. In both analogue and digital implementations of the QKFE algorithms, we exhibit quantitative agreement of our quantum simulation experiments with the exact results. Our approach provides a general framework for computing thermodynamic potentials on programmable quantum devices, granting access to key thermodynamic properties such as entropy, heat capacity and criticality, with far-reaching implications for material design and drug development. |
| title | Algorithmic Quantum Simulations of Quantum Thermodynamics |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2511.22898 |