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Simulating quantum systems is one of the most important potential applications of quantum computers.
Crystal statistics. i. a two-dimensional model with an order-disorder transition
Lars Onsager · 1944
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On the product of semi-groups of operators
Hale F Trotter · 1959
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P-complete approximation problems
Sartaj Sahni and Teofilo Gonzalez · 1976
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Simulating physics with computers
Richard P Feynman · 1982
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On the computational complexity of ising spin glass models
Francisco Barahona · 1982
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A thermodynamically motivated simulation procedure for combinatorial optimization problems
Rainer E Burkard and Franz Rendl · 1984
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Tabu search—part I
Fred Glover · 1989
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Tabu search—part II
Fred Glover · 1990
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General theory of fractal path integrals with applications to many-body theories and statistical physics
Masuo Suzuki · 1991
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A greedy randomized adaptive search procedure for the quadratic assignment problem
Yong Li, Panos M Pardalos, and Mauricio GC Resende · 1993
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Universal quantum simulators
Seth Lloyd · 1996
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The quadratic assignment problem
Rainer E Burkard, Eranda Cela, Panos M Pardalos, and Leonidas S Pitsoulis · 1998
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Optimal creation of entanglement using a two-qubit gate
B. Kraus and J. I. Cirac · 2001
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Time optimal control in spin systems
Navin Khaneja, Roger Brockett, and Steffen J. Glaser · 2001
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Classical and quantum computation
Alexei Yu Kitaev, Alexander Shen, Mikhail N Vyalyi, and Mikhail N Vyalyi · 2002
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Optimal quantum circuits for general two-qubit gates
Farrokh Vatan and Colin Williams · 2004
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Universal quantum circuit for two-qubit transformations with three controlled-NOT gates
G. Vidal and C. M. Dawson · 2004
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Graph coloring problems
Tommy R Jensen and Bjarne Toft · 2011
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Quantum-circuit design for efficient simulations of many-body quantum dynamics
Sadegh Raeisi, Nathan Wiebe, and Barry C Sanders · 2012
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Quantum algorithms for quantum field theories
Stephen P Jordan, Keith SM Lee, and John Preskill · 2012
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Black-box hamiltonian simulation and unitary implementation
Dominic W Berry and Andrew M Childs · 2012
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The Trotter step size required for accurate quantum simulation of quantum chemistry
David Poulin, Matthew B Hastings, Dave Wecker, Nathan Wiebe, Andrew C Doherty, and Matthias Troyer · 2014
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Quantum simulation
I. M. Georgescu, S. Ashhab, and Franco Nori · 2014
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A quantum approximate optimization algorithm
Edward Farhi, Jeffrey Goldstone, and Sam Gutmann · 2014
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Squash: a scalable quantum mapper considering ancilla sharing
Mohammad Javad Dousti, Alireza Shafaei, and Massoud Pedram · 2014
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Improving quantum algorithms for quantum chemistry
Matthew B Hastings, Dave Wecker, Bela Bauer, and Matthias Troyer · 2014
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Simulating hamiltonian dynamics with a truncated taylor series
Dominic W. Berry, Andrew M. Childs, Richard Cleve, Robin Kothari, and Rolando D. Somma · 2015
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Chemical basis of Trotter-Suzuki errors in quantum chemistry simulation
Ryan Babbush, Jarrod McClean, Dave Wecker, Alán Aspuru-Guzik, and Nathan Wiebe · 2015
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An minlp model for scheduling and placement of quantum circuits with a heuristic solution approach
Tayebeh Bahreini and Naser Mohammadzadeh · 2015
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Quantum gates and architecture for the quantum simulation of the Fermi-Hubbard model
Pierre-Luc Dallaire-Demers and Frank K. Wilhelm · 2016
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Complexity classification of local hamiltonian problems
Toby Cubitt and Ashley Montanaro · 2016
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Optimal hamiltonian simulation by quantum signal processing
Mitigating measurement errors in quantum computers by exploiting state-dependent bias
Swamit S Tannu and Moinuddin K Qureshi · 2019
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IBM Quantum Experience Devices
IBM · 2020
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Rigetti computing
Rigetti · 2020
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t | | ket > > : a retargetable compiler for NISQ devices
Seyon Sivarajah, Silas Dilkes, Alexander Cowtan, Will Simmons, Alec Edgington, and Ross Duncan · 2020
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Circuit compilation methodologies for quantum approximate optimization algorithm
Mahabubul Alam, Abdullah Ash-Saki, and Swaroop Ghosh · 2020
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An efficient circuit compilation flow for quantum approximate optimization algorithm
Mahabubul Alam, Abdullah Ash-Saki, and Swaroop Ghosh · 2020
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Guang Hao Low and Isaac L. Chuang · 2017
Cited alongside, same era.
Error mitigation for short-depth quantum circuits
Kristan Temme, Sergey Bravyi, and Jay M. Gambetta · 2017
Cited alongside, same era.
Efficient variational quantum simulator incorporating active error minimization
Ying Li and Simon C. Benjamin · 2017
Cited alongside, same era.
Quantum chemistry calculations on a trapped-ion quantum simulator
Cornelius Hempel, Christine Maier, Jonathan Romero, Jarrod McClean, Thomas Monz, Heng Shen, Petar Jurcevic, Ben P. Lanyon, Peter Love, Ryan Babbush, Alán Aspuru-Guzik, Rainer Blatt, and Christian F. Roos · 2018
Cited alongside, same era.
Toward the first quantum simulation with quantum speedup
Andrew M Childs, Dmitri Maslov, Yunseong Nam, Neil J Ross, and Yuan Su · 2018
Cited alongside, same era.
Quantum computing in the NISQ era and beyond
John Preskill · 2018
Cited alongside, same era.
An efficient methodology for mapping quantum circuits to the IBM QX architectures
Alwin Zulehner, Alexandru Paler, and Robert Wille · 2018
Cited alongside, same era.
Noise resilient compilation policies for quantum approximate optimization algorithm
Mahabubul Alam, Abdullah Ash-Saki, Junde Li, Anupam Chattopadhyay, and Swaroop Ghosh · 2020
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Demonstrating a Continuous Set of Two-Qubit Gates for Near-Term Quantum Algorithms
B. Foxen, C. Neill, A. Dunsworth, P. Roushan, B. Chiaro, A. Megrant, J. Kelly, Zijun Chen, K. Satzinger, R. Barends, F. Arute, K. Arya, R. Babbush, D. Bacon, J. C. Bardin, S. Boixo, D. Buell, B. Burkett, Yu Chen, R. Collins, E. Farhi, A. Fowler, C. Gidney, M. Giustina, R. Graff, M. Harrigan, T. Huang, S. V. Isakov, E. Jeffrey, Z. Jiang, D. Kafri, K. Kechedzhi, P. Klimov, A. Korotkov, F. Kostritsa, D. Landhuis, E. Lucero, J. McClean, M. McEwen, X. Mi, M. Mohseni, J. Y. Mutus, O. Naaman, M. Neeley, M. Niu, A. Petukhov, C. Quintana, N. Rubin, D. Sank, V. Smelyanskiy, A. Vainsencher, T. C. White, Z. Yao, P. Yeh, A. Zalcman, H. Neven, and J. M. Martinis · 2020
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SQUARE: strategic quantum ancilla reuse for modular quantum programs via cost-effective uncomputation
Yongshan Ding, Xin-Chuan Wu, Adam Holmes, Ash Wiseth, Diana Franklin, Margaret Martonosi, and Frederic T Chong · 2020
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Improving the performance of deep quantum optimization algorithms with continuous gate sets
Nathan Lacroix, Christoph Hellings, Christian Kraglund Andersen, Agustin Di Paolo, Ants Remm, Stefania Lazar, Sebastian Krinner, Graham J. Norris, Mihai Gabureac, Johannes Heinsoo, Alexandre Blais, Christopher Eichler, and Andreas Wallraff · 2020
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ReCirq, October 2020
Quantum AI team and collaborators · 2020
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Quantum simulation via randomized product formulas: Low gate complexity with accuracy guarantees
Chi-Fang Chen, Hsin-Yuan Huang, Richard Kueng, and Joel A Tropp · 2020
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Compilation by stochastic Hamiltonian sparsification
Yingkai Ouyang, David R White, and Earl T Campbell · 2020
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Circuit optimization of Hamiltonian simulation by simultaneous diagonalization of Pauli clusters
Ewout van den Berg and Kristan Temme · 2020
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A generic compilation strategy for the unitary coupled cluster ansatz
Alexander Cowtan, Will Simmons, and Ross Duncan · 2020
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Term grouping and travelling salesperson for digital quantum simulation
Kaiwen Gui, Teague Tomesh, Pranav Gokhale, Yunong Shi, Frederic T Chong, Margaret Martonosi, and Martin Suchara · 2020
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Architecture-aware synthesis of phase polynomials for NISQ devices
Arianne Meijer-van de Griend and Ross Duncan · 2020
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Software Mitigation of Crosstalk on Noisy Intermediate-Scale Quantum Computers
Prakash Murali, David C McKay, Margaret Martonosi, and Ali Javadi-Abhari · 2020
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Timing and resource-aware mapping of quantum circuits to superconducting processors
Lingling Lao, Hans van Someren, Imran Ashraf, and Carmen G. Almudever · 2021
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Software-hardware co-optimization for computational chemistry on superconducting quantum processors
Gushu Li, Yunong Shi, and Ali Javadi-Abhari · 2021
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Paulihedral: A generalized block-wise compiler optimization framework for quantum simulation kernels
Gushu Li, Anbang Wu, Yunong Shi, Ali Javadi-Abhari, Yufei Ding, and Yuan Xie · 2021
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Designing calibration and expressivity-efficient instruction sets for quantum computing
Lingling Lao, Prakash Murali, Margaret Martonosi, and Dan Browne · 2021
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Cirq, May 2021
Cirq Developers · 2021
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Randomizing multi-product formulas for improved Hamiltonian simulation
Paul K Faehrmann, Mark Steudtner, Richard Kueng, Maria Kieferova, and Jens Eisert · 2021
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Mitigating measurement errors in multiqubit experiments
Sergey Bravyi, Sarah Sheldon, Abhinav Kandala, David C. Mckay, and Jay M. Gambetta · 2021
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