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Parameterized quantum evolution is the main ingredient in variational quantum algorithms for near-term quantum devices.
On approximation algorithms for # p
Larry. Stockmeyer · 1985
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A learning algorithm for boltzmann machines
DAVID H. ACKLEY, GEOFFREY E. HINTON, and TERRENCE J. SEJNOWSKI · 1987
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For M = 10 4 M=10^{4} , it takes approximately 1,200 1,200 CPU hours to generate Fig. 4
2005
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Thermalization and its mechanism for generic isolated quantum systems
Marcos Rigol, Vanja Dunjko, and Maxim Olshanii · 2008
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Random quantum circuits are approximate 2-designs
Aram W. Harrow and Richard A. Low · 2009
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Quantum Signatures of Chaos
Fritz Haake · 2010
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Goals and opportunities in quantum simulation
J. I. Cirac and P. Zoller · 2012
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Can one trust quantum simulators?
P. Hauke, F. M. Cucchietti, L. Tagliacozzo, I. Deutsch, and M. Lewenstein · 2012
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A variational eigenvalue solver on a photonic quantum processor
A. Peruzzo, J. McClean, P. Shadbolt, M.-H. Yung, X.-Q. Zhou, P. J. Love, A. Aspuru-Guzik, and J. L. O’Brien · 2014
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What is a quantum simulator?
T. H. Johnson, S. R. Clark, and D. Jaksch · 2014
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Long-time behavior of isolated periodically driven interacting lattice systems
L. D’Alessio and M. Rigol · 2014
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Many-body localization and thermalization in quantum statistical mechanics
Rahul Nandkishore and David A. Huse · 2015
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Quantum many-body systems out of equilibrium
J. Eisert, Friesdorf M., and C. Gogolin · 2015
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Observation of many-body localization of interacting fermions in a quasirandom optical lattice
Michael Schreiber, Sean S. Hodgman, Pranjal Bordia, Henrik P. Lüschen, Mark H. Fischer, Ronen Vosk, Ehud Altman, Ulrich Schneider, and Immanuel Bloch · 2015
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Many-body localization in periodically driven systems
P. Ponte, Z. Papić, F. Huveneers, and D. A. Abanin · 2015
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The theory of variational hybrid quantum-classical algorithms
J. R McClean, J. Romero, R. Babbush, and A. Aspuru-Guzik · 2016
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Scalable quantum simulation of molecular energies
P. J. J. O’Malley, R. Babbush, I. D. Kivlichan, J. Romero, J. R. McClean, R. Barends, J. Kelly, P. Roushan, A. Tranter, N. Ding, B. Campbell, Y. Chen, Z. Chen, B. Chiaro, A. Dunsworth, A. G. Fowler, E. Jeffrey, E. Lucero, A. Megrant, J. Y. Mutus, M. Neeley, C. Neill, C. Quintana, D. Sank, A. Vainsencher, J. Wenner, T. C. White, P. V. Coveney, P. J. Love, H. Neven, A. Aspuru-Guzik, and J. M. Martinis · 2016
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Exploring the many-body localization transition in two dimensions
J.-Y. Choi, S. Hild, J. Zeiher, P. Schauß, A. Rubio-Abadal, T. Yefsah, V. Khemani, D. A. Huse, I. Bloch, and C. Gross · 2016
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From quantum chaos and eigenstate thermalization to statistical mechanics and thermodynamics
L. D’Alessio, Y. Kafri, A. Polkovnikov, and M. Rigol · 2016
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Coupling identical one-dimensional many-body localized systems
Pranjal Bordia, Henrik P. Lüschen, Sean S. Hodgman, Michael Schreiber, Immanuel Bloch, and Ulrich Schneider · 2016
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Many-body localization in a quantum simulator with programmable random disorder
J. Smith, A. Lee, P. Richerme, B. Neyenhuis, P. W. Hess, P. Hauke, M. Heyl, D. A. Huse, and C. Monroe · 2016
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From quantum chaos and eigenstate thermalization to statistical mechanics and thermodynamics
Luca D’Alessio, Yariv Kafri, Anatoli Polkovnikov, and Marcos Rigol · 2016
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Theory of many-body localization in periodically driven systems
D. A. Abanin, W. D. Roeck, and F. Huveneers · 2016
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On the Expressive Power of Deep Neural Networks
Maithra Raghu, Ben Poole, Jon Kleinberg, Surya Ganguli, and Jascha Sohl-Dickstein · 2016
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Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets
A. Kandala, A. Mezzacapo, K. Temme, M. Takita, M. Brink, J. M. Chow, and J. M. Gambetta · 2017
Cited alongside, same era.
Efficient variational quantum simulator incorporating active error minimization
Y. Li and S. C. Benjamin · 2017
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Strategies for quantum computing molecular energies using the unitary coupled cluster ansatz
Jonathan Romero, Ryan Babbush, Jarrod R. McClean, Cornelius Hempel, Peter Love, and Alán Aspuru-Guzik · 2017
Cited alongside, same era.
Parameterized quantum circuits as machine learning models
Marcello Benedetti, Erika Lloyd, Stefan Sack, and Mattia Fiorentini · 2019
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Training of quantum circuits on a hybrid quantum computer
D. Zhu, N. M. Linke, M. Benedetti, K. A. Landsman, N. H. Nguyen, C. H. Alderete, A. Perdomo-Ortiz, N. Korda, A. Garfoot, C. Brecque, L. Egan, O. Perdomo, and C. Monroe · 2019
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Supervised learning with quantum-enhanced feature spaces
Vojtěch Havlíček, Antonio D. Córcoles, Kristan Temme, Aram W. Harrow, Abhinav Kandala, Jerry M. Chow, and Jay M. Gambetta · 2019
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Quantum Approximate Optimization of the Long-Range Ising Model with a Trapped-Ion Quantum Simulator
G. Pagano, A. Bapat, P. Becker, K. S. Collins, A. De, P. W. Hess, H. B. Kaplan, A. Kyprianidis, W. L. Tan, C. Baldwin, L. T. Brady, A. Deshpande, F. Liu, S. Jordan, A. V. Gorshkov, and C. Monroe · 2019
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Self-verifying variational quantum simulation of lattice models
C. Kokail, C. Maier, R. van Bijnen, T. Brydges, M. K. Joshi, P. Jurcevic, C. A. Muschik, P. Silvi, R. Blatt, C. F. Roos, and P. Zoller · 2019
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Quantum supremacy for simulating a translation-invariant ising spin model
Xun Gao, Sheng-Tao Wang, and L.-M. Duan · 2017
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Periodically driving a many-body localized quantum system
Pranjal Bordia, Henrik Lüschen, Ulrich Schneider, Michael Knap, and Immanuel Bloch · 2017
Cited alongside, same era.
Spectroscopic signatures of localization with interacting photons in superconducting qubits
P. Roushan, C. Neill, J. Tangpanitanon, V. M. Bastidas, A. Megrant, R. Barends, Y. Chen, Z. Chen, B. Chiaro, A. Dunsworth, A. Fowler, B. Foxen, M. Giustina, E. Jeffrey, J. Kelly, E. Lucero, J. Mutus, M. Neeley, C. Quintana, D. Sank, A. Vainsencher, J. Wenner, T. White, H. Neven, D. G. Angelakis, and J. Martinis · 2017
Cited alongside, same era.
Probing many-body dynamics on a 51-atom quantum simulator
H. Bernien, S. Schwartz, A. Keesling, H. Levine, A. Omran, H. Pichler, S. Choi, A. S. Zibrov, M. Endres, M. Greiner, V. Vuletić, and M. D. Lukin · 2017
Cited alongside, same era.
Observation of a many-body dynamical phase transition with a 53-qubit quantum simulator
J. Zhang, G. Pagano, P. W. Hess, A. Kyprianidis, P. Becker, H. Kaplan, A. V. Gorshkov, Z. X. Gong, and C. Monroe · 2017
Cited alongside, same era.
Quantum computational supremacy
A. W. Harrow and A. Montanaro · 2017
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Quantum Computing in the NISQ era and beyond
John Preskill · 2018
Cited alongside, same era.
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Continuous-variable quantum neural networks
Nathan Killoran, Thomas R. Bromley, Juan Miguel Arrazola, Maria Schuld, Nicolás Quesada, and Seth Lloyd · 2019
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The Born Supremacy: Quantum Advantage and Training of an Ising Born Machine
B. Coyle, D. Mills, V. Danos, and E. Kashefi · 2019
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Quantum advantage from energy measurements of many-body quantum systems
Leonardo Novo, Juani Bermejo-Vega, and Raúl García-Patrón · 2019
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Enhanced connectivity of quantum hardware with digital-analog control
Asier Galicia, Borja Ramon, Enrique Solano, and Mikel Sanz · 2019
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Colloquium: Many-body localization, thermalization, and entanglement
Dmitry A. Abanin, Ehud Altman, Immanuel Bloch, and Maksym Serbyn · 2019
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Probing entanglement in a many-body–localized system
Alexander Lukin, Matthew Rispoli, Robert Schittko, M. Eric Tai, Adam M. Kaufman, Soonwon Choi, Vedika Khemani, Julian Léonard, and Markus Greiner · 2019
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Sukin Sim, Peter D. Johnson, and Alan Aspuru-Guzik · 2019
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Expressive power of tensor-network factorizations for probabilistic modeling, with applications from hidden Markov models to quantum machine learning
Ivan Glasser, Ryan Sweke, Nicola Pancotti, Jens Eisert, and J. Ignacio Cirac · 2019
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Closing gaps of a quantum advantage with short-time hamiltonian dynamics
Jonas Haferkamp, Dominik Hangleiter, Adam Bouland, Bill Fefferman, Jens Eisert, and Juani Bermejo-Vega · 2019
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On the complexity and verification of quantum random circuit sampling
Adam Bouland, Bill Fefferman, Chinmay Nirkhe, and Umesh Vazirani · 2019
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Realizing Quantum Boltzmann Machines Through Eigenstate Thermalization
Eric R. Anschuetz and Yudong Cao · 2019
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Cost-Function-Dependent Barren Plateaus in Shallow Quantum Neural Networks
M. Cerezo, Akira Sone, Tyler Volkoff, Lukasz Cincio, and Patrick J. Coles · 2020
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Quantum supremacy in driven quantum many-body systems
Jirawat Tangpanitanon, Supanut Thanasilp, Marc-Antoine Lemonde, Ninnat Dangniam, and Dimitris G. Angelakis · 2020
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Digital-analog quantum computation
Adrian Parra-Rodriguez, Pavel Lougovski, Lucas Lamata, Enrique Solano, and Mikel Sanz · 2020
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Digital-analog quantum algorithm for the quantum fourier transform
Ana Martin, Lucas Lamata, Enrique Solano, and Mikel Sanz · 2020
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Introduction to machine learning
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