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We study the mixing time of a recently proposed efficiently implementable Lindbladian designed to prepare the Gibbs states in the setting of weakly interacting fermionic systems.
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M. J. Kastoryano and F. G. Brandao, “Quantum Gibbs samplers: The commuting case,” Communications in Mathematical Physics
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S. Bravyi and D. Gosset, “Complexity of quantum impurity problems,” Communications in Mathematical Physics
2017
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F. G. Brandao and M. J. Kastoryano, “Finite correlation length implies efficient preparation of quantum thermal states,” Communications in Mathematical Physics
2019
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M. Hastings, “The stability of free fermi Hamiltonians,” Journal of Mathematical Physics
2019
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T. Kuwahara, K. Kato, and F. G. Brandão, “Clustering of conditional mutual information for quantum gibbs states above a threshold temperature,” Physical Review Letters
2020
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I. Bardet, Á. Capel, L. Gao, A. Lucia, D. Pérez-García, and C. Rouzé, “Entropy decay for davies semigroups of a one dimensional quantum lattice,” Communications in Mathematical Physics
2024
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J. Haah, M. B. Hastings, R. Kothari, and G. H. Low, “Quantum algorithm for simulating real time evolution of lattice Hamiltonians,” SIAM Journal on Computing
2021
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A. M. Childs, Y. Su, M. C. Tran, N. Wiebe, and S. Zhu, “Theory of trotter error with commutator scaling,” Physical Review X
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2022
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T. Barthel and Y. Zhang, “Solving quasi-free and quadratic Lindblad master equations for open fermionic and bosonic systems,” Journal of Statistical Mechanics: Theory and Experiment
2022
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A. Bluhm, Á. Capel, and A. Pérez-Hernández, “Exponential decay of mutual information for gibbs states of local hamiltonians,” Quantum
2022
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I. Bardet, Á. Capel, L. Gao, A. Lucia, D. Pérez-García, and C. Rouzé, “Rapid thermalization of spin chain commuting Hamiltonians,” Physical Review Letters
2023
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