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Characterizing noisy quantum devices requires methods for learning the underlying quantum Hamiltonian which governs their dynamics.
Hamiltonian learning for quantum error correction
Agnes Valenti, Evert van Nieuwenburg, Sebastian Huber, and Eliska Greplova · 1907
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Learning the dynamics of open quantum systems from their steady states
Eyal Bairey, Chu Guo, Dario Poletti, Netanel H. Lindner, and Itai Arad · 1907
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Scalable Bayesian Hamiltonian learning
Tim J. Evans, Robin Harper, and Steven T. Flammia · 1912
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Hamiltonian Tomography via Quantum Quench
Zhi Li, Liujun Zou, and Timothy H. Hsieh · 1912
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Robust method for estimating the Lindblad operators of a dissipative quantum process from measurements of the density operator at multiple time points
N. Boulant, T. F. Havel, M. A. Pravia, and D. G. Cory · 2003
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Entanglement spectrum as a generalization of entanglement entropy: Identification of topological order in non-Abelian fractional quantum hall effect states
Hui Li and F. D.M. Haldane · 2008
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Hamiltonian tomography in an access-limited setting without state initialization
C. Di Franco, M. Paternostro, and M. S. Kim · 2009
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Coupling strength estimation for spin chains despite restricted access
Daniel Burgarth, Koji Maruyama, and Franco Nori · 2009
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Scalable and Robust Randomized Benchmarking of Quantum Processes
Easwar Magesan, J. M. Gambetta, and Joseph Emerson · 2011
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Estimation of many-body quantum hamiltonians via compressive sensing
A. Shabani, M. Mohseni, S. Lloyd, R. L. Kosut, and H. Rabitz · 2011
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Practical characterization of quantum devices without tomography
Marcus P. Da Silva, Olivier Landon-Cardinal, and David Poulin · 2011
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Robust online Hamiltonian learning
Christopher E. Granade, Christopher Ferrie, Nathan Wiebe, and D. G. Cory · 2012
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Suppressing qubit dephasing using real-time Hamiltonian estimation
M. D. Shulman, S. P. Harvey, J. M. Nichol, S. D. Bartlett, A. C. Doherty, V. Umansky, and A. Yacoby · 2014
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Quantum hamiltonian identification from measurement time traces
Jun Zhang and Mohan Sarovar · 2014
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Identification of open quantum systems from observable time traces
Jun Zhang and Mohan Sarovar · 2015
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Hamiltonian tomography for quantum many-body systems with arbitrary couplings
Sheng Tao Wang, Dong Ling Deng, and L. M. Duan · 2015
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Quantum bootstrapping via compressed quantum Hamiltonian learning
Nathan Wiebe, Christopher Granade, and D. G. Cory · 2015
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Compressed sensing for Hamiltonian reconstruction
Kenneth Rudinger and Robert Joynt · 2015
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Procedure for systematically tuning up cross-talk in the cross-resonance gate
Sarah Sheldon, Easwar Magesan, Jerry M. Chow, and Jay M. Gambetta · 2016
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Hamiltonian identifiability assisted by a single-probe measurement
Akira Sone and Paola Cappellaro · 2017
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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, and Mark G. Thompson · 2017
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Tomography and generative training with quantum Boltzmann machines
Mária Kieferová and Nathan Wiebe · 2017
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Entanglement Hamiltonians of lattice models via the Bisognano-Wichmann theorem
G. Giudici, T. Mendes-Santos, P. Calabrese, and M. Dalmonte · 2018
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Entanglement hamiltonian tomography in quantum simulation, 2020
Christian Kokail, Rick van Bijnen, Andreas Elben, Benoît Vermersch, and Peter Zoller · 2020
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Supervised learning of time-independent Hamiltonians for gate design
Luca Innocenti, Leonardo Banchi, Alessandro Ferraro, Sougato Bose, and Mauro Paternostro · 2020
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Direct reconstruction of the quantum-master-equation dynamics of a trapped-ion qubit
Eitan Ben Av, Yotam Shapira, Nitzan Akerman, and Roee Ozeri · 2020
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Reducing Unitary and Spectator Errors in Cross Resonance with Optimized Rotary Echoes
Neereja Sundaresan, Isaac Lauer, Emily Pritchett, Easwar Magesan, Petar Jurcevic, and Jay M. Gambetta · 2020
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Quantum certification and benchmarking, 2020
Jens Eisert, Dominik Hangleiter, Nathan Walk, Ingo Roth, Damian Markham, Rhea Parekh, Ulysse Chabaud, and Elham Kashefi · 2020
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Quantum simulation and spectroscopy of entanglement Hamiltonians
M. Dalmonte, B. Vermersch, and P. Zoller · 2018
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Computational Inverse Method for Constructing Spaces of Quantum Models from Wave Functions
Eli Chertkov and Bryan K. Clark · 2018
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Method to identify parent Hamiltonians for trial states
Martin Greiter, Vera Schnells, and Ronny Thomale · 2018
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Learning quantum models from quantum or classical data
Hilbert J Kappen · 2018
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Entanglement-Guided Search for Parent Hamiltonians
X. Turkeshi, T. Mendes-Santos, G. Giudici, and M. Dalmonte · 2019
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Reconstructing entanglement Hamiltonian via entanglement eigenstates
W. Zhu, Zhoushen Huang, and Yin Chen He · 2019
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Determining a local Hamiltonian from a single eigenstate
Xiao-Liang Qi and Daniel Ranard · 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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Predicting many properties of a quantum system from very few measurements
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Quantum Overlapping Tomography
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Pairwise tomography networks for many-body quantum systems
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Nearly Optimal Measurement Scheduling for Partial Tomography of Quantum States
Xavier Bonet-Monroig, Ryan Babbush, and Thomas E. O’Brien · 2020
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Optimal parent Hamiltonians for time-dependent states
Davide Rattacaso, Gianluca Passarelli, Antonio Mezzacapo, Procolo Lucignano, and Rosario Fazio · 2021
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Lindblad Tomography of a Superconducting Quantum Processor
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Optimal learning of quantum Hamiltonians from high-temperature Gibbs states
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Stochastic estimation of dynamical variables
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