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Variational quantum algorithms have been a promising candidate to utilize near-term quantum devices to solve real-world problems.
On the limited memory bfgs method for large scale optimization
Liu D and Nocedal J · 1989
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Algorithms for quantum computation: discrete logarithms and factoring
Shor P · 1994
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Cluster monte carlo simulation of the transverse ising model
Blöte H and Deng Y · 2002
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Exponential algorithmic speedup by a quantum walk
Childs A, Cleve R, Deotto E, Farhi E, Gutmann S, and Spielman D · 2003
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Simulated quantum computation of molecular energies
Aspuru-Guzik A, Dutoi A, Love P, and Head-Gordon M · 2005
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An area law for one-dimensional quantum systems
Hastings M · 2007
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Simulation of quantum many-body systems with strings of operators and monte carlo tensor contractions
Schuch N, Wolf M, Verstraete F, and Cirac J · 2008
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Quantum algorithm for linear systems of equations
Harrow A, Hassidim A, and Lloyd S · 2009
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Efficient quantum state tomography
Cramer M, Plenio M, Flammia S, Somma R, Gross D, Bartlett S, Landon-Cardinal O, Poulin D, and Liu Y · 2010
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Solving quantum ground-state problems with nuclear magnetic resonance
Li Z, Yung M, Chen H, Lu D, Whitfield J, Peng X, Aspuru-Guzik A, and Du J · 2011
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Quantum algorithm for data fitting
Wiebe N, Braun D, and Lloyd S · 2012
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Quantum support vector machine for big data classification
Rebentrost P, Mohseni M, and Lloyd S · 2014
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Quantum principal component analysis
Lloyd S, Mohseni M, and Rebentrost P · 2014
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A variational eigenvalue solver on a photonic quantum processor
Peruzzo A, McClean J, Shadbolt P, Yung M, Zhou X, Love P, Aspuru-Guzik A, and O’brien J · 2014
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Adam:a method for stochastic optimization
Kingma D and Ba J · 2014
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Scalable quantum simulation of molecular energies
O’Malley P, Babbush R, Kivlichan D, Romero J, McClean R, Barends R, Kelly J, Roushan P, Tranter A, Ding N, et al · 2016
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Quantum algorithm for systems of linear equations with exponentially improved dependence on precision
Andrew C, Robin K, and Rolando S · 2017
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Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets
Kandala A, Mezzacapo A, Temme K, Takita M, Brink M, Chow J, and Gambetta J · 2017
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Efficient variational quantum simulator incorporating active error minimization
Li Y and Benjamin S · 2017
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Qvector: an algorithm for device-tailored quantum error correction
Johnson P, Romero J, Olson J, Cao Y, and Aspuru-Guzik A · 2017
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Quantum implementation of the unitary coupled cluster for simulating molecular electronic structure
Shen Y, Zhang X, Zhang S, Zhang J, Yung M, and Kim K · 2017
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Quantum Computing in the NISQ era and beyond
Preskill J · 2018
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Quantum generative adversarial networks
Dallaire-Demers P and Killoran N · 2018
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Quantum circuit learning
Mitarai K, Negoro M, Kitagawa M, and Fujii K · 2018
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Quantum chemistry calculations on a trapped-ion quantum simulator
Hempel C, Maier C, Romero J, McClean J, Monz T, Shen H, Jurcevic P, Lanyon B, Love P, Babbush R, Aspuru-Guzik A, Blatt R, and Roos C · 2018
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Computation of molecular spectra on a quantum processor with an error-resilient algorithm
Colless J, Ramasesh V, Dahlen D, Blok M, Kimchi-Schwartz M, McClean J, Carter J, de Jong W, and Siddiqi I · 2018
Cited alongside, same era.
Barren plateaus in quantum neural network training landscapes
McClean J, Boixo S, Smelyanskiy V, Babbush R, and Neven H · 2018
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Neural-network quantum states, string-bond states, and chiral topological states
Glasser I, Pancotti N, August M, Rodriguez I, and I Cirac · 2018
Cited alongside, same era.
Quantum supremacy using a programmable superconducting processor
Variational quantum circuits for quantum state tomography
Liu Y, Wang D, Xue S, Huang A, Fu X, Qiang X, Xu P, Huang H, Deng M, Gu C, Yang X, and Wu J · 2020
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Openfermion: the electronic structure package for quantum computers
McClean J, Rubin N, Sung K, Kivlichan I, Bonet-Monroig X, Cao Y, Dai C, Fried S, Gidney C, Gimby B, et al · 2020
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Strong quantum computational advantage using a superconducting quantum processor
Wu Y, Bao W, Cao S, Chen F, Chen M, Chen X, Chung T, Deng H, Du Y, Fan D, et al · 2021
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The power of quantum neural networks
Amira A, David S, Christa Z, Aurélien L, Alessio F, and Stefan W · 2021
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Adaptive variational quantum dynamics simulations
Yao Y, Gomes N, Zhang F, Wang C, Ho K, Iadecola T, and Orth P · 2021
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Variational circuit compiler for quantum error correction
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Arute F, Arya K, Babbush R, Bacon D, Bardin J, Barends R, Biswas R, Boixo S, Brandao F, Buell D, et al · 2019
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Quantum chemistry as a benchmark for near-term quantum computers
McCaskey A, Parks Z, Jakowski J, Moore S, Morris T, Humble T, and Pooser R · 2019
Cited alongside, same era.
Variational ansatz-based quantum simulation of imaginary time evolution
McArdle S, Jones T, Endo S, Li Y, Benjamin S, and Yuan X · 2019
Cited alongside, same era.
A generative modeling approach for benchmarking and training shallow quantum circuits
Benedetti M, Garcia-Pintos D, Perdomo O, Leyton-Ortega V, Nam Y, and Perdomo-Ortiz A · 2019
Cited alongside, same era.
Quantum convolutional neural networks
Cong I, Choi S, and Lukin M · 2019
Cited alongside, same era.
Quantum computation of electronic transitions using a variational quantum eigensolver
Parrish R, Hohenstein E, McMahon P, and Martínez T · 2019
Cited alongside, same era.
An initialization strategy for addressing barren plateaus in parametrized quantum circuits
Grant E, Wossnig L, Ostaszewski M, and Benedetti M · 2019
Cited alongside, same era.
Xu X, Benjamin S, and Yuan X · 2021
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A universal duplication-free quantum neural network
Hou X, Zhou G, Li Q, Jin S, and Wang X · 2021
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Normalized gradient descent for variational quantum algorithms
Suzuki Y, Yano H, Raymond R, and Yamamoto N · 2021
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Noise-induced barren plateaus in variational quantum algorithms
Wang S, Fontana E, Cerezo M, Sharma K, Sone A, Cincio L, and Coles P · 2021
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Effect of barren plateaus on gradient-free optimization
Arrasmith A, Cerezo M, Czarnik P, Cincio L, and Coles P · 2021
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Normalized gradient descent for variational quantum algorithms
Suzuki Y, Yano H, Raymond R, and Yamamoto N · 2021
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Mindquantum, version 0.6.0, March 2021
MindQuantum Developer · 2021
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Quantum computational advantage via 60-qubit 24-cycle random circuit sampling
Zhu Q, Cao S, Chen F, Chen M, Chen X, Chung T, Deng H, Du Y, Fan D, Gong M, et al · 2022
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Quantum computational advantage with a programmable photonic processor
Madsen L, Laudenbach F, Askarani M, Rortais F, Vincent T, Bulmer J, Miatto F, Neuhaus L, Helt L, Collins M, et al · 2022
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Quantum advantage in learning from experiments
Huang H, Broughton M, Cotler J, Chen S, Li J, Mohseni M, Neven H, Babbush R, Kueng R, Preskill J, and McClean R · 2022
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Huang H, Xu X, Guo C, Tian G, Wei S, Sun X, Bao W, and Long G · 2022
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Quantum variational learning for quantum error-correcting codes
Cao C, Zhang C, Wu Z, Grassl M, and Zeng B · 2022
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Probing phases of quantum matter with an ion-trap tensor-network quantum eigensolver
Meth M, Kuzmin V, van Bijnen R, Postler L, Stricker R, Blatt R, Ringbauer M, Monz T, Silvi P, and Schindler P · 2022
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Error-mitigated photonic variational quantum eigensolver using a single-photon ququart
Lee D, Lee J, Hong S, Lim H, Cho Y, Han S, Shin H, Rehman J, and Kim Y · 2022
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Avoiding barren plateaus using classical shadows
Sack S, Medina R, Michailidis A, Kueng R, and Serbyn M · 2022
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Adapt-vqe is insensitive to rough parameter landscapes and barren plateaus
Grimsley H, Barron G, Barnes E, Economou S, and Mayhall N · 2022
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Parameterized two-qubit gates for enhanced variational quantum eigensolver
Rasmussen S and Zinner N · 2022
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