熱平衡としての準安定状態｜観測エントロピーの変分原理 #14

量子ギブスサンプラーを出発点として、熱平衡としての準安定状態について考察しています。 岩木惇司 Website: https://sites.google.com/view/atsushi... X (Twitter):   / atsushi_iwaki_   SDキャラ: くら   / kurakura28   先生 参考文献 [1] A. Kitaev, A. Shen, and M. Vyalyi, "Classical and Quantum Computation," Graduate studies in mathematics (2002). [2] S. Gharibian and J. Kamminga, "On the complexity of estimating ground state entanglement and free energy," arXiv:2510.06796. [3] D. Aharonov, I. Arad, and T. Vidick, "Guest column: The quantum PCP conjecture," ACM Sigact News 44, 47 (2013). [4] C.-F. Chen, M. Kastoryano, F. G. Brandão, and A. Gilyen, "Efficient quantum thermal simulation," Nature (London) 646, 561 (2025). [5] V. Gorini, A. Kossakowski, and E. C. G. Sudarshan, "Completely positive dynamical semigroups of N-level systems," J. Math. Phys. (N.Y.) 17, 821 (1976). [6] G. Lindblad, "On the generators of quantum dynamical semigroups," Commun. Math. Phys. 48, 119 (1976). [7] C. Rouze, D. S. Franca, and A. M. Alhambra, "Efficient thermalization and universal quantum computing with quantum Gibbs samplers," Nat. Phys. (2026). [8] D. Gamarnik, B. T. Kiani, and A. Zlokapa, "Slow mixing of quantum Gibbs samplers," arXiv:2411.04300. [9] T. Rakovszky, B. Placke, N. P. Breuckmann, and V. Khemani, "Bottlenecks in quantum channels and finite temperature phases of matter," arXiv:2412.09598. [10] T. Bergamaschi, C.-F. Chen, and U. Vazirani, "A structural theory of quantum metastability: Markov properties and area laws," arXiv:2510.08538. [11] C.-F. Chen, H.-Y. Huang, J. Preskill, and L. Zhou, "Local minima in quantum systems," Nat. Phys. 21, 654 (2025). [12] C.-F. Chen, "Note on Strong Quantum Markov Properties," arXiv:2605.02877. [13] L. Berthier and G. Biroli, "Theoretical perspective on the glass transition and amorphous materials," Rev. Mod. Phys. 83, 587 (2011). [14] G. Parisi and F. Zamponi, "Mean-field theory of hard sphere glasses and jamming," Rev. Mod. Phys. 82, 789 (2010). [15] K. Binder and A. P. Young, "Spin glasses: Experimental facts, theoretical concepts, and open questions," Rev. Mod. Phys. 58, 801 (1986).