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Digital quantum simulation (DQS) is one of the most promising paths for achieving first useful real-world applications for quantum processors.
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F. Haake, M. Kuś, and R. Scharf · 1987
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Masuo Suzuki · 1990
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Fritz Haake and Karol Życzkowski · 1990
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Masuo Suzuki · 1991
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“Chaotic billiards generated by arithmetic groups”
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“Chaos and quantum thermalization”
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“Universal quantum simulators”
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“Quantum dynamical manifestation of chaotic behavior in the process of entanglement”
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“Quantum chaos border for quantum computing”
B. Georgeot and D. L. Shepelyansky · 2000
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“Emergence of quantum chaos in the quantum computer core and how to manage it”
B. Georgeot and D. L. Shepelyansky · 2000
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“Limits to error correction in quantum chaos”
P. G. Silvestrov, H. Schomerus, and C. W. J. Beenakker · 2001
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“Quantum chaos and quantum computers”
D. L. Shepelyansky · 2001
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“Fidelity decay as an efficient indicator of quantum chaos”
Joseph Emerson, Yaakov S. Weinstein, Seth Lloyd, and D. G. Cory · 2002
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“Quantum chaos and quantum algorithms”
Daniel Braun · 2002
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“Testing statistical bounds on entanglement using quantum chaos”
Jayendra N. Bandyopadhyay and Arul Lakshminarayan · 2002
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“Quantum chaos triggered by precursors of a quantum phase transition: The Dicke model”
Clive Emary and Tobias Brandes · 2003
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“Chaos and the quantum phase transition in the Dicke model”
Clive Emary and Tobias Brandes · 2003
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“Statistical properties of eigenvalues for an operating quantum computer with static imperfections”
G. Benenti, G. Casati, S. Montangero, and D. L. Shepelyansky · 2003
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“Simulated quantum computation of molecular energies”
Alán Aspuru-Guzik, Anthony D. Dutoi, Peter J. Love, and Martin Head-Gordon · 2005
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“Dynamics of a quantum phase transition”
Wojciech H. Zurek, Uwe Dorner, and Peter Zoller · 2005
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“Entanglement across a transition to quantum chaos”
Carlos Mejía-Monasterio, Guliano Benenti, Gabriel G. Carlo, and Giulio Casati · 2005
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“Dynamics of Loschmidt echoes and fidelity decay”
Thomas Gorin, Tomaz Prosen, Thomas H. Seligman, and Marko Znidaric · 2006
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“Efficient quantum algorithms for simulating sparse Hamiltonians”
Dominic W. Berry, Graeme Ahokas, Richard Cleve, and Barry C. Sanders · 2007
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“Sufficient conditions for the convergence of the Magnus expansion”
Fernando Casas · 2007
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“Convergence of the Magnus series”
Per Christian Moan and Jitse Niesen · 2008
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“The Magnus expansion and some of its applications”
S. Blanes, F. Casas, J.A. Oteo, and J. Ros · 2008
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“Quantum theory of magnetism”
Wolfgang Nolting and Anupuru Ramakanth · 2009
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“Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets”
Abhinav Kandala, Antonio Mezzacapo, Kristan Temme, Maika Takita, Markus Brink, Jerry M. Chow, and Jay M. Gambetta · 2017
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“Experimentally simulating the dynamics of quantum light and matter at deep-strong coupling”
N K Langford, R Sagastizabal, M Kounalakis, C Dickel, A Bruno, F Luthi, D J Thoen, A Endo, and L DiCarlo · 2017
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“Digital-analog quantum simulation of generalized Dicke models with superconducting circuits”
Lucas Lamata · 2017
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“Optimal Hamiltonian simulation by quantum signal processing”
Guang Hao Low and Isaac L. Chuang · 2017
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“Shorter gate sequences for quantum computing by mixing unitaries”
Earl Campbell · 2017
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“Quantum signatures of chaos in a kicked top”
S Chaudhury, A Smith, B E Anderson, S Ghose, and P S Jessen · 2009
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“Universal digital quantum simulation with trapped ions”
B. P. Lanyon, C. Hempel, D. Nigg, M. Müller, R. Gerritsma, F. Zähringer, P. Schindler, J. T. Barreiro, M. Rambach, G. Kirchmair, M. Hennrich, P. Zoller, R. Blatt, and C. F. Roos · 2011
Cited alongside, same era.
“Hamiltonian simulation using linear combinations of unitary operations”
Andrew M. Childs and Nathan Wiebe · 2012
Cited alongside, same era.
“Quantum-circuit design for efficient simulations of many-body quantum dynamics”
Sadegh Raeisi, Nathan Wiebe, and Barry C Sanders · 2012
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“Computational methods for physicists: compendium for students”
Simon Sirca and Martin Horvat · 2012
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“Loschmidt echo”
Arseni Goussev, Rodolfo A. Jalabert, Horacio M. Pastawski, and Diego Wisniacki · 2012
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“Effective Hamiltonians, prethermalization, and slow energy absorption in periodically driven many-body systems”
Dmitry A. Abanin, Wojciech De Roeck, Wen Wei Ho, and Francois Huveneers · 2017
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“Spectroscopic signatures of localization with interacting photons in superconducting qubits”
Pedram Roushan, Charles Neill, J Tangpanitanon, Victor M Bastidas, A Megrant, Rami Barends, Yu 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
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“Quantum Computing in the NISQ era and beyond”
John Preskill · 2018
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“Toward the first quantum simulation with quantum speedup”
Andrew M. Childs, Dmitri Maslov, Yunseong Nam, Neil J. Ross, and Yuan Su · 2018
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“Characterizing quantum supremacy in near-term devices”
Sergio Boixo, Sergei V. Isakov, Vadim N. Smelyanskiy, Ryan Babbush, Nan Ding, Zhang Jiang, Michael J. Bremner, John M. Martinis, and Hartmut Neven · 2018
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“Quantum signatures of chaos”
Fritz Haake, Sven Gnutzmann, and Marek Kuś · 2018
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“Heating in integrable time-periodic systems”
Takashi Ishii, Tomotaka Kuwahara, Takashi Mori, and Naomichi Hatano · 2018
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“Exploring quantum chaos with a single nuclear spin”
Vincent Mourik, Serwan Asaad, Hannes Firgau, Jarryd J. Pla, Catherine Holmes, Gerard J. Milburn, Jeffrey C. McCallum, and Andrea Morello · 2018
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“Quantum metrology with quantum-chaotic sensors”
Lukas J Fiderer and Daniel Braun · 2018
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“Hamiltonian Simulation by Qubitization”
Guang Hao Low and Isaac L. Chuang · 2019
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“Random compiler for fast Hamiltonian simulation”
Earl Campbell · 2019
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“Faster quantum simulation by randomization”
Andrew M. Childs, Aaron Ostrander, and Yuan Su · 2019
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“Quantum localization bounds Trotter errors in digital quantum simulation”
Markus Heyl, Philipp Hauke, and Peter Zoller · 2019
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“Digital quantum simulation, Trotter errors, and quantum chaos of the kicked top”
Lukas M. Sieberer, Tobias Olsacher, Andreas Elben, Markus Heyl, Philipp Hauke, Fritz Haake, and Peter Zoller · 2019
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“Ultrastrong coupling regimes of light-matter interaction”
P. Forn-Díaz, L. Lamata, E. Rico, J. Kono, and E. Solano · 2019
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“Dynamical quantum phase transitions: A brief survey”
Markus Heyl · 2019
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“Verified quantum information scrambling”
K. A. Landsman, C. Figgatt, T. Schuster, N. M. Linke, B. Yoshida, N. Y. Yao, and C. Monroe · 2019
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“Observation of gauge invariance in a 71-site Bose–Hubbard quantum simulator”
Bing Yang, Hui Sun, Robert Ott, Han-Yi Wang, Torsten V Zache, Jad C Halimeh, Zhen-Sheng Yuan, Philipp Hauke, and Jian-Wei Pan · 2020
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“A scalable realization of local U(1) gauge invariance in cold atomic mixtures”
Alexander Mil, Torsten V Zache, Apoorva Hegde, Andy Xia, Rohit P Bhatt, Markus K Oberthaler, Philipp Hauke, Jürgen Berges, and Fred Jendrzejewski · 2020
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“Simulating lattice gauge theories within quantum technologies”
Mari Carmen Bañuls, Rainer Blatt, Jacopo Catani, Alessio Celi, Juan Ignacio Cirac, Marcello Dalmonte, Leonardo Fallani, Karl Jansen, Maciej Lewenstein, Simone Montangero, Christine A. Muschik, Benni Reznik, Enrique Rico, Luca Tagliacozza, Karel Van Acoleyen, Frank Verstraete, Uwe-Jens Wiese, Matthew Wingate, Jakub Zakrzewski, and Peter Zoller · 2020
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“Hartree-Fock on a superconducting qubit quantum computer”
Google AI Quantum and collaborators · 2020
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“Monitoring quantum simulators via quantum nondemolition couplings to atomic clock qubits”
Denis V Vasilyev, Andrey Grankin, Mikhail A Baranov, Lukas M Sieberer, and Peter Zoller · 2020
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“Quantum phases of matter on a 256-atom programmable quantum simulator”
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