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We present Noise-Directed Adaptive Remapping (NDAR), a heuristic algorithm for approximately solving binary optimization problems by leveraging certain types of noise.
Mahabubul Alam, Abdullah Ash-Saki, and Swaroop Ghosh · 1907
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“Optuna: A next-generation hyperparameter optimization framework” (2019)
Takuya Akiba, Shotaro Sano, Toshihiko Yanase, Takeru Ohta, and Masanori Koyama · 1907
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David Sherrington and Scott Kirkpatrick · 1975
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“An introduction to the bootstrap”
Bradley Efron and Robert J Tibshirani · 1994
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“Theory of quantum error-correcting codes”
Emanuel Knill and Raymond Laflamme · 1997
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Daniel Zwillinger and Stephen Kokoska · 1999
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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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“An Efficient Method to Convert Arbitrary Quantum Circuits to Ones on a Linear Nearest Neighbor Architecture”
Yuichi Hirata, Masaki Nakanishi, Shigeru Yamashita, and Yasuhiko Nakashima · 2009
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“Dissipative Preparation of Entanglement in Optical Cavities”
M. J. Kastoryano, F. Reiter, and A. S. Sørensen · 2011
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“Complexity and approximation: Combinatorial optimization problems and their approximability properties”
Giorgio Ausiello, Pierluigi Crescenzi, Giorgio Gambosi, Viggo Kann, Alberto Marchetti-Spaccamela, and Marco Protasi · 2012
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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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“Making a science of model search: Hyperparameter optimization in hundreds of dimensions for vision architectures”
James Bergstra, Daniel Yamins, and David Cox · 2013
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“A quantum Approximate Optimization Algorithm” (2014)
Edward Farhi, Jeffrey Goldstone, and Sam Gutmann · 2014
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“Algorithm engineering for a quantum annealing platform” (2014)
Andrew D King and Catherine C McGeoch · 2014
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“Ising formulations of many NP problems”
Andrew Lucas · 2014
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“Defining and detecting quantum speedup”
Troels F Rønnow, Zhihui Wang, Joshua Job, Sergio Boixo, Sergei V Isakov, David Wecker, John M Martinis, Daniel A Lidar, and Matthias Troyer · 2014
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“A performance estimator for quantum annealers: Gauge selection and parameter setting” (2015)
Alejandro Perdomo-Ortiz, Joseph Fluegemann, Rupak Biswas, and Vadim N. Smelyanskiy · 2015
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“Determination and correction of persistent biases in quantum annealers”
Alejandro Perdomo-Ortiz, Bryan O’Gorman, Joseph Fluegemann, Rupak Biswas, and Vadim N. Smelyanskiy · 2016
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“Parameter setting for quantum annealers”
Kristen L Pudenz · 2016
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“Optimally stopped optimization”
Walter Vinci and Daniel A Lidar · 2016
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“Dissipative quantum error correction and application to quantum sensing with trapped ions”
F. Reiter, A. S. Sørensen, P. Zoller, and C. A. Muschik · 2017
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“From the quantum approximate optimization algorithm to a quantum alternating operator ansatz”
Stuart Hadfield, Zhihui Wang, Bryan O’gorman, Eleanor G Rieffel, Davide Venturelli, and Rupak Biswas · 2019
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“Quantum error correction: an introductory guide”
Joschka Roffe · 2019
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“Optimizing the spin reversal transform on the d-wave 2000q”
Elijah Pelofske, Georg Hahn, and Hristo Djidjev · 2019
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“Noise-adaptive compiler mappings for noisy intermediate-scale quantum computers”
Prakash Murali, Jonathan M. Baker, Ali Javadi-Abhari, Frederic T. Chong, and Margaret Martonosi · 2019
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“Characterizing local noise in QAOA circuits”
Jeffrey Marshall, Filip Wudarski, Stuart Hadfield, and Tad Hogg · 2020
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“Digital zero noise extrapolation for quantum error mitigation”
Tudor Giurgica-Tiron, Yousef Hindy, Ryan LaRose, Andrea Mari, and William J Zeng · 2020
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“SciPy 1.0: Fundamental Algorithms for Scientific Computing in Python”
Pauli Virtanen, Ralf Gommers, Travis E. Oliphant, and SciPy 1.0 Contributors · 2020
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“Obstacles to Variational Quantum Optimization from Symmetry Protection”
Sergey Bravyi, Alexander Kliesch, Robert Koenig, and Eugene Tang · 2020
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“Verifying the output of quantum optimizers with ground-state energy lower bounds”
Flavio Baccari, Christian Gogolin, Peter Wittek, and Antonio Ací n · 2020
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“Optimizing embedding-related quantum annealing parameters for reducing hardware bias”
Aaron Barbosa, Elijah Pelofske, Georg Hahn, and Hristo N Djidjev · 2021
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“Ferromagnetically shifting the power of pausing”
Zoe Gonzalez Izquierdo, Shon Grabbe, Stuart Hadfield, Jeffrey Marshall, Zhihui Wang, and Eleanor Rieffel · 2021
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“Classical symmetries and the Quantum Approximate Optimization Algorithm”
Ruslan Shaydulin, Stuart Hadfield, Tad Hogg, and Ilya Safro · 2021
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“Transferability of optimal QAOA parameters between random graphs”
Alexey Galda, Xiaoyuan Liu, Danylo Lykov, Yuri Alexeev, and Ilya Safro · 2021
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“Error mitigation for deep quantum optimization circuits by leveraging problem symmetries”
Ruslan Shaydulin and Alexey Galda · 2021
Cited alongside, same era.
“Effects of quantum noise on quantum approximate optimization algorithm”
Cheng Xue, Zhao-Yun Chen, Yu-Chun Wu, and Guo-Ping Guo · 2021
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“Modeling and mitigation of cross-talk effects in readout noise with applications to the Quantum Approximate Optimization Algorithm”
Filip B. Maciejewski, Flavio Baccari, Zoltán Zimborás, and Michał Oszmaniec · 2021
Cited alongside, same era.
“Noise-Assisted Variational Quantum Thermalization” (2021)
Jonathan Foldager, Arthur Pesah, and Lars Kai Hansen · 2021
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“Noise-Assisted Quantum Autoencoder”
Chenfeng Cao and Xin Wang · 2021
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“Warm-Started QAOA with Custom Mixers Provably Converges and Computationally Beats Goemans-Williamson's Max-Cut at Low Circuit Depths”
Reuben Tate, Jai Moondra, Bryan Gard, Greg Mohler, and Swati Gupta · 2023
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“Hybrid quantum-classical multilevel approach for maximum cuts on graphs”
Anthony Angone, Xiaoyuan Liu, Ruslan Shaydulin, and Ilya Safro · 2023
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“PySA: Fast Simulated Annealing in Native Python”
Salvatore Mandra, Ata Akbari Asanjan, Lucas Brady, Aaron Lott, David E. Bernal Neira, and Humberto Munoz Bauza · 2023
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“Challenges and opportunities in quantum optimization”
Amira Abbas, Andris Ambainis, Brandon Augustino, Andreas Bärtschi, Harry Buhrman, Carleton Coffrin, Giorgio Cortiana, Vedran Dunjko, Daniel J Egger, Bruce G Elmegreen, et al · 2024
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“Warm-starting quantum optimization”
Daniel J Egger, Jakub Mareček, and Stefan Woerner · 2021
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“Classically optimal variational quantum algorithms”
Jonathan Wurtz and Peter J Love · 2021
Cited alongside, same era.
“On the representation of Boolean and real functions as Hamiltonians for quantum computing”
Stuart Hadfield · 2021
Cited alongside, same era.
“Multilevel combinatorial optimization across quantum architectures”
Hayato Ushijima-Mwesigwa, Ruslan Shaydulin, Christian FA Negre, Susan M Mniszewski, Yuri Alexeev, and Ilya Safro · 2021
Cited alongside, same era.
“Simulations of Quantum Circuits with Approximate Noise using qsim and Cirq” (2021)
Sergei V. Isakov, Dvir Kafri, Orion Martin, et al · 2021
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“Adaptive quantum approximate optimization algorithm for solving combinatorial problems on a quantum computer”
Linghua Zhu, Ho Lun Tang, George S. Barron, F. A. Calderon-Vargas, Nicholas J. Mayhall, Edwin Barnes, and Sophia E. Economou · 2022
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“Quantum optimization of maximum independent set using Rydberg atom arrays”
S. Ebadi, A. Keesling, M. Cain, T. T. Wang, H. Levine, D. Bluvstein, G. Semeghini, A. Omran, J.-G. Liu, R. Samajdar, X.-Z. Luo, B. Nash, X. Gao, B. Barak, E. Farhi, S. Sachdev, N. Gemelke, L. Zhou, S. Choi, H. Pichler, S.-T. Wang, M. Greiner, V. Vuletić, and M. D. Lukin · 2022
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“Extending relax-and-round combinatorial optimization solvers with quantum correlations”
Maxime Dupont and Bhuvanesh Sundar · 2024
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“Design and execution of quantum circuits using tens of superconducting qubits and thousands of gates for dense Ising optimization problems”
Filip B Maciejewski, Stuart Hadfield, Benjamin Hall, Mark Hodson, Maxime Dupont, Bram Evert, James Sud, M Sohaib Alam, Zhihui Wang, Stephen Jeffrey, et al · 2024
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Yanjun Ji, Kathrin F. Koenig, and Ilia Polian · 2024
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Zhiyan Ding, Chi-Fang Chen, and Lin Lin · 2024
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