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Estimating the expectation value of an operator corresponding to an observable is a fundamental task in quantum computation.
On economical construction of the transitive closure of an oriented graph
V.L. Arlazarov, E.A. Dinic, M.A. Kronod, and I.A. Faradez · 1970
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Recognizing locally equivalent graphs
André Bouchet · 1993
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A Course in Functional Analysis
J.B. Conway · 1994
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Quantum error correction and orthogonal geometry
A. R. Calderbank, E. M. Rains, P. W. Shor, and N. J. A. Sloane · 1997
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Stabilizer codes and quantum error correction
Daniel Gottesman · 1997
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Parallel quantum computation and quantum codes
Cristopher Moore and Martin Nilsson · 2002
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Topological quantum memory
Eric Dennis, Alexei Kitaev, Andrew Landahl, and John Preskill · 2002
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Fermionic quantum computation
Sergey B. Bravyi and Alexei Yu. Kitaev · 2002
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Graphical description of the action of local Clifford transformations on graph states
Maarten Van den Nest, Jeroen Dehaene, and Bart De Moor · 2004
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Improved simulation of stabilizer circuits
Scott Aaronson and Daniel Gottesman · 2004
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Classical coloring of graphs
Adrian Kosowski and Krzysztof Manuszewski · 2004
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Multiparty entanglement in graph states
M. Hein, J. Eisert, and H. J. Briegel · 2004
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Linear degree extractors and the inapproximability of max clique and chromatic number
David Zuckerman · 2006
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Quantum-information processing with circuit quantum electrodynamics
Alexandre Blais, Jay Gambetta, A. Wallraff, D. I. Schuster, S. M. Girvin, M. H. Devoret, and R. J. Schoelkopf · 2007
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Optimal synthesis of linear reversible circuits
Ketan N. Patel, Igor L. Markov, and John P. Hayes · 2008
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Exploring network structure, dynamics, and function using NetworkX
Aric A. Hagberg, Daniel A. Schult, and Pieter J. Swart · 2008
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High-fidelity operation of quantum photonic circuits
Anthony Laing, Alberto Peruzzo, Alberto Politi, Maria Rodas Verde, Matthaeus Halder, Timothy C. Ralph, Mark G. Thompson, and Jeremy L. O’Brien · 2010
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Quantum Computation and Quantum Information: 10th Anniversary Edition
Michael A. Nielsen and Isaac L. Chuang · 2011
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A variational eigenvalue solver on a photonic quantum processor
Alberto Peruzzo, Jarrod McClean, Peter Shadbolt, Man-Hong Yung, Xiao-Qi Zhou, Peter J. Love, Alán Aspuru-Guzik, and Jeremy L. O’Brien · 2014
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Superconducting quantum circuits at the surface code threshold for fault tolerance
R. Barends, J. Kelly, A. Megrant, A. Veitia, D. Sank, E. Jeffrey, T. C. White, J. Mutus, A. G. Fowler, B. Campbell, Y. Chen, Z. Chen, B. Chiaro, A. Dunsworth, C. Neill, P. O’Malley, P. Roushan, A. Vainsencher, J. Wenner, A. N. Korotkov, A. N. Cleland, and John M. Martinis · 2014
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Progress towards practical quantum variational algorithms
Dave Wecker, Matthew B. Hastings, and Matthias Troyer · 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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Scalable quantum simulation of molecular energies
P. J. J. O’Malley, R. Babbush, I. D. Kivlichan, J. Romero, J. R. McClean, R. Barends, J. Kelly, P. Roushan, A. Tranter, N. Ding, B. Campbell, Y. Chen, Z. Chen, B. Chiaro, A. Dunsworth, A. G. Fowler, E. Jeffrey, E. Lucero, A. Megrant, J. Y. Mutus, M. Neeley, C. Neill, C. Quintana, D. Sank, A. Vainsencher, J. Wenner, T. C. White, P. V. Coveney, P. J. Love, H. Neven, A. Aspuru-Guzik, and J. M. Martinis · 2016
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High-fidelity quantum logic gates using trapped-ion hyperfine qubits
C. J. Ballance, T. P. Harty, N. M. Linke, M. A. Sepiol, and D. M. Lucas · 2016
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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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Hybrid quantum-classical hierarchy for mitigation of decoherence and determination of excited states
Jarrod R. McClean, Mollie E. Kimchi-Schwartz, Jonathan Carter, and Wibe A. de Jong · 2017
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Optimal control of two qubits via a single cavity drive in circuit quantum electrodynamics
Variational quantum algorithms for discovering Hamiltonian spectra
Tyson Jones, Suguru Endo, Sam McArdle, Xiao Yuan, and Simon C. Benjamin · 2019
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Variational quantum computation of excited states
Oscar Higgott, Daochen Wang, and Stephen Brierley · 2019
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Pauli partitioning with respect to gate sets
Andrew Jena, Scott Genin, and Michele Mosca · 2019
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Efficient and noise resilient measurements for quantum chemistry on near-term quantum computers
William J. Huggins, Jarrod McClean, Nicholas Rubin, Zhang Jiang, Nathan Wiebe, K. Birgitta Whaley, and Ryan Babbush · 2019
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Minimizing state preparations in variational quantum eigensolver by partitioning into commuting families
Pranav Gokhale, Olivia Angiuli, Yongshan Ding, Kaiwen Gui, Teague Tomesh, Martin Suchara, Margaret Martonosi, and Frederic T. Chong · 2019
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Joseph L. Allen, Robert Kosut, Jaewoo Joo, Peter Leek, and Eran Ginossar · 2017
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Experimental comparison of two quantum computing architectures
Norbert M. Linke, Dmitri Maslov, Martin Roetteler, Shantanu Debnath, Caroline Figgatt, Kevin A. Landsman, Kenneth Wright, and Christopher Monroe · 2017
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Quantum information processing with superconducting circuits: a review
G Wendin · 2017
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Tapering off qubits to simulate fermionic Hamiltonians
Sergey Bravyi, Jay M. Gambetta, Antonio Mezzacapo, and Kristan Temme · 2017
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Robert M. Parrish, Lori A. Burns, Daniel G. A. Smith, Andrew C. Simmonett, A. Eugene DePrince, Edward G. Hohenstein, Uğur Bozkaya, Alexander Yu. Sokolov, Roberto Di Remigio, Ryan M. Richard, Jérôme F. Gonthier, Andrew M. James, Harley R. McAlexander, Ashutosh Kumar, Masaaki Saitow, Xiao Wang, Benjamin P. Pritchard, Prakash Verma, Henry F. Schaefer, Konrad Patkowski, Rollin A. King, Edward F. Valeev, Francesco A. Evangelista, Justin M. Turney, T. Daniel Crawford, and C. David Sherrill · 2017
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Quantum computing in the NISQ era and beyond
John Preskill · 2018
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Witnessing eigenstates for quantum simulation of Hamiltonian spectra
Raffaele Santagati, Jianwei Wang, Antonio A. Gentile, Stefano Paesani, Nathan Wiebe, Jarrod R. McClean, Sam Morley-Short, Peter J. Shadbolt, Damien Bonneau, Joshua W. Silverstone, David P. Tew, Xiaoqi Zhou, Jeremy L. O’Brien, and Mark G. Thompson · 2018
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Computation of molecular spectra on a quantum processor with an error-resilient algorithm
J. I. Colless, V. V. Ramasesh, D. Dahlen, M. S. Blok, M. E. Kimchi-Schwartz, J. R. McClean, J. Carter, W. A. de Jong, and I. Siddiqi · 2018
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Revising the measurement process in the variational quantum eigensolver: is it possible to reduce the number of separately measured operators?
Artur F. Izmaylov, Tzu-Ching Yen, and Ilya G. Ryabinkin · 2019
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Fidelity benchmarks for two-qubit gates in silicon
W. Huang, C. H. Yang, K. W. Chan, T. Tanttu, B. Hensen, R. C. C. Leon, M. A. Fogarty, J. C. C. Hwang, F. E. Hudson, K. M. Itoh, A. Morello, A. Laucht, and A. S. Dzurak · 2019
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Power-optimal, stabilized entangling gate between trapped-ion qubits
Reinhold Blumel, Nikodem Grzesiak, and Yunseong Nam · 2019
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Quantum computational chemistry
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Measurement optimization in the variational quantum eigensolver using a minimum clique cover
Vladyslav Verteletskyi, Tzu-Ching Yen, and Artur F. Izmaylov · 2020
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Measuring all compatible operators in one series of single-qubit measurements using unitary transformations
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Measurement reduction in variational quantum algorithms
Andrew Zhao, Andrew Tranter, William M. Kirby, Shu Fay Ung, Akimasa Miyake, and Peter J. Love · 2020
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O ( N 3 ) O(N^{3}) measurement cost for variational quantum eigensolver on molecular Hamiltonians
P. Gokhale, O. Angiuli, Y. Ding, K. Gui, T. Tomesh, M. Suchara, M. Martonosi, and F. T. Chong · 2020
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Unitary partitioning approach to the measurement problem in the variational quantum eigensolver method
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Predicting many properties of a quantum system from very few measurements
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Measurements of quantum Hamiltonians with locally-biased classical shadows
Charles Hadfield, Sergey Bravyi, Rudy Raymond, and Antonio Mezzacapo · 2020
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An adaptive optimizer for measurement-frugal variational algorithms
Jonas M. Kübler, Andrew Arrasmith, Lukasz Cincio, and Patrick J. Coles · 2020
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Operator sampling for shot-frugal optimization in variational algorithms
Andrew Arrasmith, Lukasz Cincio, Rolando D. Somma, and Patrick J. Coles · 2020
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Optimal space-depth trade-off of CNOT circuits in quantum logic synthesis
Jiaqing Jiang, Xiaoming Sun, Shang-Hua Teng, Bujiao Wu, Kewen Wu, and Jialin Zhang · 2020
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OpenFermion: the electronic structure package for quantum computers
Jarrod R McClean, Nicholas C Rubin, Kevin J Sung, Ian D Kivlichan, Xavier Bonet-Monroig, Yudong Cao, Chengyu Dai, E Schuyler Fried, Craig Gidney, Brendan Gimby, Pranav Gokhale, Thomas Häner, Tarini Hardikar, Vojtěch Havlíček, Oscar Higgott, Cupjin Huang, Josh Izaac, Zhang Jiang, Xinle Liu, Sam McArdle, Matthew Neeley, Thomas O’Brien, Bryan O’Gorman, Isil Ozfidan, Maxwell D Radin, Jhonathan Romero, Nicolas P D Sawaya, Bruno Senjean, Kanav Setia, Sukin Sim, Damian S Steiger, Mark Steudtner, Qiming Sun, Wei Sun, Daochen Wang, Fang Zhang, and Ryan Babbush · 2020
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Strategies for quantum computing molecular energies using the unitary coupled cluster ansatz
Jonathan Romero, Ryan Babbush, Jarrod R McClean, Cornelius Hempel, Peter J Love, and Alán Aspuru-Guzik · 2058
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