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The dual tasks of quantum Hamiltonian learning and quantum Gibbs sampling are relevant to many important problems in physics and chemistry.
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Exponential and mixture families in quantum statistics: Dual structure and unbiased parameter estimation
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Natural gradient works efficiently in learning
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A statistical study of on-line learning
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Quantum algorithm providing exponential speed increase for finding eigenvalues and eigenvectors
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Sign problem in monte carlo simulations of frustrated quantum spin systems
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Statistical decision rules and optimal inference
Nikolai Nikolaevich Cencov · 2000
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Problem of equilibration and the computation of correlation functions on a quantum computer
Barbara M Terhal and David P DiVincenzo · 2000
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On the curvature of monotone metrics and a conjecture concerning the kubo-mori metric
Jochen Dittmann · 2000
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Learning markov networks: maximum bounded tree-width graphs
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On the uniqueness of the chentsov metric in quantum information geometry
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Covariance and fisher information in quantum mechanics
Dénes Petz · 2002
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Entanglement in a simple quantum phase transition
Tobias J Osborne and Michael A Nielsen · 2002
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Two quantum analogues of fisher information from a large deviation viewpoint of quantum estimation
Masahito Hayashi · 2002
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Training products of experts by minimizing contrastive divergence
Geoffrey E Hinton · 2002
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Generalized euler angle parametrization for su (n)
Todd Tilma and ECG Sudarshan · 2002
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Graduate Texts in Mathematics: Algebra
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Structure optimization of solute molecules via free energy gradient method
Masataka Nagaoka · 2003
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Gaussian processes in machine learning
Carl Edward Rasmussen · 2003
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Quantum speed-up of markov chain based algorithms
Mario Szegedy · 2004
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Generalized relative entropies as contrast functionals on density matrices
Anna Jencová · 2004
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Matrix product density operators: Simulation of finite-temperature and dissipative systems
Frank Verstraete, Juan J Garcia-Ripoll, and Juan Ignacio Cirac · 2004
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Mixed-state dynamics in one-dimensional quantum lattice systems: a time-dependent superoperator renormalization algorithm
Michael Zwolak and Guifré Vidal · 2004
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Markov chain monte carlo and gibbs sampling
Chain Monte Carlo · 2004
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Quantum noise: a handbook of Markovian and non-Markovian quantum stochastic methods with applications to quantum optics
Crispin Gardiner, Peter Zoller, and Peter Zoller · 2004
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Quantum entropy production as a measure of irreversibility
Ilse Callens, Woyciech De Roeck, Tim Jacobs, Christian Maes, and K Netočnỳ · 2004
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Asymptotic theory of quantum statistical inference, 2005
Hiroshi Nagaoka and M Hayashi · 2005
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A bayes rule for density matrices
Manfred K. K Warmuth · 2005
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Learning factor graphs in polynomial time and sample complexity
Pieter Abbeel, Daphne Koller, and Andrew Y Ng · 2006
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The complexity of the local hamiltonian problem
Julia Kempe, Alexei Kitaev, and Oded Regev · 2006
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Optimal quantum measurements of expectation values of observables
Emanuel Knill, Gerardo Ortiz, and Rolando D Somma · 2007
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The geometry of Hessian structures
Hirohiko Shima · 2007
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Bregman divergence as relative operator entropy
Denes Petz · 2007
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Measuring thermodynamic length
Gavin E. Crooks · 2007
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Quantum random access memory
Vittorio Giovannetti, Seth Lloyd, and Lorenzo Maccone · 2008
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Reconstruction of markov random fields from samples: Some observations and algorithms
Guy Bresler, Elchanan Mossel, and Allan Sly · 2008
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An information geometrical approach to the mean-field approximation for quantum ising spin models
Nihal Yapage and Hiroshi Nagaoka · 2008
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Polynomial-time quantum algorithm for the simulation of chemical dynamics
Ivan Kassal, Stephen P Jordan, Peter J Love, Masoud Mohseni, and Alán Aspuru-Guzik · 2008
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Quantum graphical models and belief propagation
M.S. Leifer and D. Poulin · 2008
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Quantum algorithm for linear systems of equations
Aram W Harrow, Avinatan Hassidim, and Seth Lloyd · 2009
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Interacting boson problems are qma-hard
Tzu-Chieh Wei, Michele Mosca, and Ashwin Nayak · 2009
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The power of quantum systems on a line
Dorit Aharonov, Daniel Gottesman, Sandy Irani, and Julia Kempe · 2009
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Sampling from the thermal quantum gibbs state and evaluating partition functions with a quantum computer
David Poulin and Pawel Wocjan · 2009
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Minimally entangled typical quantum states at finite temperature
Steven R White · 2009
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First-order quantum phase transition in adiabatic quantum computation
M. H. S. Amin and V. Choi · 2009
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Computational transition at the uniqueness threshold
Allan Sly · 2010
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Preparing thermal states of quantum systems by dimension reduction
Ersen Bilgin and Sergio Boixo · 2010
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Quantum Computation and Quantum Information
Michael A Nielsen and Isaac Chuang · 2010
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Reconsidering backward error analysis for ordinary differential equations
Robert HC Moir · 2010
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First-order phase transition in the quantum adiabatic algorithm
A. P. Young, S. Knysh, and V. N. Smelyanskiy · 2010
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Towards a derivation of holographic entanglement entropy
Horacio Casini, Marina Huerta, and Robert C Myers · 2011
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Simulating chemistry using quantum computers
Ivan Kassal, James D Whitfield, Alejandro Perdomo-Ortiz, Man-Hong Yung, and Alán Aspuru-Guzik · 2011
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Quantum supremacy using a programmable superconducting processor
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Learning a local hamiltonian from local measurements
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Quantum metropolis sampling
Kristan Temme, Tobias J Osborne, Karl G Vollbrecht, David Poulin, and Frank Verstraete · 2011
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Quantum simulation of time-dependent hamiltonians and the convenient illusion of hilbert space
David Poulin, Angie Qarry, Rolando Somma, and Frank Verstraete · 2011
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Dissipative quantum church-turing theorem
Martin Kliesch, Thomas Barthel, Christian Gogolin, Michael Kastoryano, and Jens Eisert · 2011
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Introduction to quantum fisher information
Dénes Petz and Catalin Ghinea · 2011
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Bayesian learning via stochastic gradient langevin dynamics
Max Welling and Yee W Teh · 2011
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Nonequilibrium entropy production for open quantum systems
Sebastian Deffner and Eric Lutz · 2011
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