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We give an improved algorithm for learning a quantum Hamiltonian given copies of its Gibbs state, that can succeed at any temperature.
The finite group velocity of quantum spin systems
Elliott H. Lieb and Derek W. Robinson · 1972
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Locality in quantum systems
Matthew B Hastings · 2010
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Faster algorithms via approximation theory
Sushant Sachdeva and Nisheeth K. Vishnoi · 2014
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Hamiltonian learning and certification using quantum resources
Nathan Wiebe, Christopher Granade, Christopher Ferrie, and David G Cory · 2014
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Experimental quantum hamiltonian learning
Jianwei Wang, Stefano Paesani, Raffaele Santagati, Sebastian Knauer, Antonio A Gentile, Nathan Wiebe, Maurangelo Petruzzella, Jeremy L O’brien, John G Rarity, Anthony Laing, et al · 2017
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Learning a local hamiltonian from local measurements
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Scalable bayesian hamiltonian learning
Tim J Evans, Robin Harper, and Steven T Flammia · 2019
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Sample-efficient learning of quantum many-body systems
Anurag Anshu, Srinivasan Arunachalam, Tomotaka Kuwahara, and Mehdi Soleimanifar · 2020
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Efficient learning of commuting hamiltonians on lattices
Anurag Anshu, Srinivasan Arunachalam, Tomotaka Kuwahara, and Mehdi Soleimanifar · 2021
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Optimal learning of quantum hamiltonians from high-temperature gibbs states
Jeongwan Haah, Robin Kothari, and Ewin Tang · 2022
Later among the works it cites.
Learning quantum hamiltonians at any temperature in polynomial time
Ainesh Bakshi, Allen Liu, Ankur Moitra, and Ewin Tang · 2024
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