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Challenging combinatorial optimization problems are ubiquitous in science and engineering.
Pegasus: The second connectivity graph for large-scale quantum annealing hardware
Nike Dattani, Szilard Szalay, and Nick Chancellor · 1901
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Verified optimization in a quantum intermediate representation
Kesha Hietala, Robert Rand, Shih-Han Hung, Xiaodi Wu, and Michael Hicks · 1904
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Learning to learn with quantum neural networks via classical neural networks
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Solving multi-coloring combinatorial optimization problems using hybrid quantum algorithms
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Portfolio rebalancing experiments using the quantum alternating operator ansatz
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Generalized Trotter’s formula and systematic approximants of exponential operators and inner derivations with applications to many-body problems
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Elementary gates for quantum computation
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A fast quantum mechanical algorithm for database search
Lov K Grover · 1996
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Single machine scheduling with batch set-up times to minimize maximum lateness
AMA Hariri and Chris N Potts · 1997
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Combinatorial optimization: algorithms and complexity
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Tad Hogg and Dmitriy Portnov · 2000
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Quantum approximate algorithm for NP optimization problems with constraints
Yue Ruan, Samuel Marsh, Xilin Xue, Xi Li, Zhihao Liu, and Jingbo Wang · 2002
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Peter Brucker · 2004
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Adiabatic quantum computation in open systems
MS Sarandy and DA Lidar · 2005
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A layered software architecture for quantum computing design tools
K.M. Svore, A.V. Aho, A.W. Cross, I. Chuang, and I.L. Markov · 2006
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Quantum gate decomposition algorithms
Alexander Slepoy · 2006
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Single-machine scheduling to stochastically minimize maximum lateness
Xiaoqiang Cai, Liming Wang, and Xian Zhou · 2007
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Thermally assisted adiabatic quantum computation
MHS Amin, Peter J Love, and CJS Truncik · 2008
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Multi-machine earliness and tardiness scheduling problem: an interconnected neural network approach
Derya Eren Akyol and G Mirac Bayhan · 2008
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Liquid-state nuclear magnetic resonance as a testbed for developing quantum control methods
C. A. Ryan, C. Negrevergne, M. Laforest, E. Knill, and R. Laflamme · 2008
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On the CNOT cost of TOFFOLI gates
V.V. Shende and I.L. Markov · 2009
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Quantum annealing with manufactured spins
Mark W Johnson, Mohammad HS Amin, Suzanne Gildert, Trevor Lanting, Firas Hamze, Neil Dickson, Richard Harris, Andrew J Berkley, Jan Johansson, Paul Bunyk, et al · 2011
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Quantum Computation and Quantum Information: 10th Anniversary Edition
Michael A. Nielsen and Isaac L. Chuang · 2011
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Quantum integer programming (QuIP) 47-779: Lecture notes
David E. Bernal, Sridhar Tayur, and Davide Venturelli · 2012
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Classical symmetries and the quantum approximate optimization algorithm
Ruslan Shaydulin, Stuart Hadfield, Tad Hogg, and Ilya Safro · 2012
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Black-box hamiltonian simulation and unitary implementation
Dominic W. Berry and Andrew M. Childs · 2012
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Quantum annealing algorithm for vehicle scheduling
Alan Crispin and Alex Syrichas · 2013
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Synthesis and optimization of reversible circuits—a survey
Mehdi Saeedi and Igor L Markov · 2013
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Quantum error correction
Daniel A Lidar and Todd A Brun · 2013
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Experimental signature of programmable quantum annealing
Sergio Boixo, Tameem Albash, Federico M Spedalieri, Nicholas Chancellor, and Daniel A Lidar · 2013
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A quantum approximate optimization algorithm
Edward Farhi, Jeffrey Goldstone, and Sam Gutmann · 2014
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Ising formulations of many NP problems
Andrew Lucas · 2014
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Analysis of Boolean functions
Ryan O’Donnell · 2014
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Integer programming
Michele Conforti, Gérard Cornuéjols, Giacomo Zambelli, et al · 2014
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Dilution effects in spin 7/2 systems. the case of the antiferromagnet GdRhIn5
R Lora-Serrano, Daniel Julio Garcia, D Betancourth, RP Amaral, NS Camilo, E Estévez-Rams, LA Ortellado GZ, and PG Pagliuso · 2015
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Quantum annealing implementation of job-shop scheduling
Davide Venturelli, Dominic J. J. Marchand, and Galo Rojo · 2015
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A quantum annealing architecture with all-to-all connectivity from local interactions
Wolfgang Lechner, Philipp Hauke, and Peter Zoller · 2015
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Application of CSMT gate for efficient reversible realization of binary to gray code converter circuit
Vandana Shukla, O. P. Singh, G. R. Mishra, and R. K. Tiwari · 2015
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Hamiltonian simulation with nearly optimal dependence on all parameters
D. W. Berry, A. M. Childs, and R. Kothari · 2015
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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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The theory of variational hybrid quantum-classical algorithms
Jarrod R McClean, Jonathan Romero, Ryan Babbush, and Alán Aspuru-Guzik · 2016
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Comparing planning problem compilation approaches for quantum annealing
Bryan O’Gorman, Eleanor Gilbert Rieffel, Minh Do, Davide Venturelli, and Jeremy Frank · 2016
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A hybrid quantum-classical approach to solving scheduling problems
Tony T. Tran, Minh Do, Eleanor G. Rieffel, Jeremy Frank, Zhihui Wang, Bryan O’Gorman, Davide Venturelli, and J. Christopher Beck · 2016
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Open-system quantum annealing in mean-field models with exponential degeneracy
Kostyantyn Kechedzhi and Vadim N Smelyanskiy · 2016
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Driver hamiltonians for constrained optimization in quantum annealing
Itay Hen and Marcelo S Sarandy · 2016
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Quantum annealing for constrained optimization
Itay Hen and Federico M Spedalieri · 2016
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Open quantum assembly language
Andrew W Cross, Lev S Bishop, John A Smolin, and Jay M Gambetta · 2017
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Quantum approximate optimization with hard and soft constraints
Stuart Hadfield, Zhihui Wang, Eleanor G Rieffel, Bryan O’Gorman, Davide Venturelli, and Rupak Biswas · 2017
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Optimal hamiltonian simulation by quantum signal processing
Guang Hao Low and Isaac L. Chuang · 2017
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Sympy: symbolic computing in Python
Aaron Meurer, Christopher P Smith, Mateusz Paprocki, Ondřej Čertík, Sergey B Kirpichev, Matthew Rocklin, AMiT Kumar, Sergiu Ivanov, Jason K Moore, Sartaj Singh, et al · 2017
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Scalable quantum circuit and control for a superconducting surface code
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Julia Plewa, Joanna Sieńko, and Katarzyna Rycerz · 2021
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Quantum unary approach to option pricing
Sergi Ramos-Calderer, Adrián Pérez-Salinas, Diego García-Martín, Carlos Bravo-Prieto, Jorge Cortada, Jordi Planagumà, and José I. Latorre · 2021
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Performance comparison of typical binary-integer encodings in an ising machine
Kensuke Tamura, Tatsuhiko Shirai, Hosho Katsura, Shu Tanaka, and Nozomu Togawa · 2021
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Limitations of optimization algorithms on noisy quantum devices
Daniel Stilck França and Raul Garcia-Patron · 2021
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Training variational quantum algorithms is NP-hard
Lennart Bittel and Martin Kliesch · 2021
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Quantum-accelerated constraint programming
Kyle E. C. Booth, Bryan O’Gorman, Jeffrey Marshall, Stuart Hadfield, and Eleanor Rieffel · 2021
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Richard Versluis, Stefano Poletto, Nader Khammassi, Brian Tarasinski, Nadia Haider, David J Michalak, Alessandro Bruno, Koen Bertels, and Leonardo DiCarlo · 2017
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Blueprint for a microwave trapped ion quantum computer
Bjoern Lekitsch, Sebastian Weidt, Austin G Fowler, Klaus Mølmer, Simon J Devitt, Christof Wunderlich, and Winfried K Hensinger · 2017
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A short path quantum algorithm for exact optimization
Matthew B Hastings · 2018
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Adiabatic quantum computation
Tameem Albash and Daniel A Lidar · 2018
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Electron-phonon systems on a universal quantum computer
Alexandru Macridin, Panagiotis Spentzouris, James Amundson, and Roni Harnik · 2018
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Quantum approximate optimization algorithm for maxcut: A fermionic view
Zhihui Wang, Stuart Hadfield, Zhang Jiang, and Eleanor G Rieffel · 2018
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Quantum algorithms for scientific computing and approximate optimization
Stuart Andrew Hadfield · 2018
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Gian Giacomo Guerreschi · 2021
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Quantum divide and conquer for combinatorial optimization and distributed computing
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Understanding domain-wall encoding theoretically and experimentally
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Performance of domain-wall encoding for quantum annealing
Jie Chen, Tobias Stollenwerk, and Nicholas Chancellor · 2021
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Ferromagnetically shifting the power of pausing
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Embedding overhead scaling of optimization problems in quantum annealing
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Parameter concentrations in quantum approximate optimization
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Optimal protocols in quantum annealing and quantum approximate optimization algorithm problems
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Warm-starting quantum optimization
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Reachability deficits in quantum approximate optimization
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Two quantum ising algorithms for the shortest-vector problem
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Graph optimization perspective for low-depth trotter-suzuki decomposition
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