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The combination of quantum many-body and machine learning techniques has recently proved to be a fertile ground for new developments in quantum computing.
Density matrix formulation for quantum renormalization groups
Steven R White · 1992
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For 2-d lattice spin systems weak mixing implies strong mixing
Fabio Martinelli, Enzo Olivieri, and Roberto H Schonmann · 1994
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Classical and quantum computation
Alexei Yu Kitaev, Alexander Shen, and Mikhail N Vyalyi · 2002
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The ising model on trees: Boundary conditions and mixing time
Fabio Martinelli, Alistair Sinclair, and Dror Weitz · 2003
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Class of quantum many-body states that can be efficiently simulated
Guifré Vidal · 2008
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Quantum computation and quantum-state engineering driven by dissipation
Frank Verstraete, Michael M Wolf, and J Ignacio Cirac · 2009
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Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order
Xie Chen, Zheng-Cheng Gu, and Xiao-Gang Wen · 2010
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Lieb-Robinson bound and locality for general Markovian quantum dynamics
David Poulin · 2010
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Topological order at nonzero temperature
Matthew B Hastings · 2011
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Lieb-robinson bounds and existence of the thermodynamic limit for a class of irreversible quantum dynamics
Bruno Nachtergaele, Anna Vershynina, and Valentin A Zagrebnov · 2011
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Automorphic equivalence within gapped phases of quantum lattice systems
Sven Bachmann, Spyridon Michalakis, Bruno Nachtergaele, and Robert Sims · 2012
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Quantum logarithmic Sobolev inequalities and rapid mixing
Michael J Kastoryano and Kristan Temme · 2013
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On physical problems that are slightly more difficult than qma
Andris Ambainis · 2014
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A variational eigenvalue solver on a photonic quantum processor
Alberto Peruzzo, Jarrod McClean, Peter Shadbolt, Man-Hong Yung, Xiao-Qi Zhou, Peter J Love, Alán Aspuru-Guzik, and Jeremy L O’brien · 2014
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Stability of local quantum dissipative systems
Toby S. Cubitt, Angelo Lucia, Spyridon Michalakis, and David Perez-Garcia · 2015
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Geometry and response of lindbladians
Victor V Albert, Barry Bradlyn, Martin Fraas, and Liang Jiang · 2016
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Quantum Monte Carlo Methods
James Gubernatis, Naoki Kawashima, and Philipp Werner · 2016
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Size-driven quantum phase transitions
Johannes Bausch, Toby S. Cubitt, Angelo Lucia, David Perez-Garcia, and Michael M. Wolf · 2017
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Quantum machine learning
Jacob Biamonte, Peter Wittek, Nicola Pancotti, Patrick Rebentrost, Nathan Wiebe, and Seth Lloyd · 2017
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Machine learning phases of matter
Juan Carrasquilla and Roger G. Melko · 2017
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Efficient representation of quantum many-body states with deep neural networks
Xun Gao and Lu-Ming Duan · 2017
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Markov chains and mixing times
David A Levin and Yuval Peres · 2017
Cited alongside, same era.
A simple parallel and distributed sampling technique: Local glauber dynamics
Manuela Fischer and Mohsen Ghaffari · 2018
Cited alongside, same era.
Finite correlation length implies efficient preparation of quantum thermal states
Fernando GSL Brandão and Michael J Kastoryano · 2019
Cited alongside, same era.
Classification of phases for mixed states via fast dissipative evolution
Andrea Coser and David Pérez-García · 2019
Purifying deep boltzmann machines for thermal quantum states
Yusuke Nomura, Nobuyuki Yoshioka, and Franco Nori · 2021
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Quantum circuits assisted by local operations and classical communication: Transformations and phases of matter
Lorenzo Piroli, Georgios Styliaris, and J Ignacio Cirac · 2021
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The complexity of approximating critical points of quantum phase transitions
James D Watson and Johannes Bausch · 2021
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Quantum hamiltonian complexity in thermal equilibrium
Sergey Bravyi, Anirban Chowdhury, David Gosset, and Pawel Wocjan · 2022
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Symmetry protected topological order in open quantum systems
Caroline de Groot, Alex Turzillo, and Norbert Schuch · 2022
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Cited alongside, same era.
Machine learning of quantum phase transitions
Xiao-Yu Dong, Frank Pollmann, and Xue-Feng Zhang · 2019
Cited alongside, same era.
Oracle complexity classes and local measurements on physical hamiltonians
Sevag Gharibian, Stephen Piddock, and Justin Yirka · 2019
Cited alongside, same era.
Identifying quantum phase transitions using artificial neural networks on experimental data
Benno S Rem, Niklas Käming, Matthias Tarnowski, Luca Asteria, Nick Fläschner, Christoph Becker, Klaus Sengstock, and Christof Weitenberg · 2019
Cited alongside, same era.
Identifying topological order through unsupervised machine learning
Joaquin F Rodriguez-Nieva and Mathias S Scheurer · 2019
Cited alongside, same era.
Quantum ground states from reinforcement learning
Ariel Barr, Willem Gispen, and Austen Lamacraft · 2020
Cited alongside, same era.
Angela Capel, Cambyse Rouzé, and Daniel Stilck França · 2020
Cited alongside, same era.
Hsin-Yuan Huang, Richard Kueng, Giacomo Torlai, Victor V. Albert, and John Preskill · 2022
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Matrix product operator algebras ii: phases of matter for 1d mixed states
Alberto Ruiz-de Alarcón, José Garre-Rubio, András Molnár, and David Pérez-García · 2022
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Uncomputably complex renormalisation group flows
James D Watson, Emilio Onorati, and Toby S Cubitt · 2022
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Rapid thermalization of spin chain commuting hamiltonians
Ivan Bardet, Ángela Capel, Li Gao, Angelo Lucia, David Pérez-García, and Cambyse Rouzé · 2023
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On the sample complexity of quantum boltzmann machine learning
Luuk Coopmans and Marcello Benedetti · 2023
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Quantum Thermal State Preparation
Chi-Fang, Chen, Michael J. Kastoryano, Fernando G. S. L. Brandão, and András Gilyén · 2023
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Yanming Che, Clemens Gneiting, and Franco Nori · 2023
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Dissipative ground state preparation and the dissipative quantum eigensolver
Toby S Cubitt · 2023
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Improved machine learning algorithm for predicting ground state properties
Laura Lewis, Hsin-Yuan Huang, Viet T. Tran, Sebastian Lehner, Richard Kueng, and John Preskill · 2023
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Dissipative phase transitions and passive error correction
Yu-Jie Liu and Simon Lieu · 2023
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Topological phase transitions at finite temperature
Paolo Molignini and Nigel R Cooper · 2023
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Efficient learning of ground & thermal states within phases of matter
Emilio Onorati, Cambyse Rouzé, Daniel Stilck França, and James D. Watson · 2023
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Defining stable phases of open quantum systems
Tibor Rakovszky, Sarang Gopalakrishnan, and Curt von Keyserlingk · 2023
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