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Following the first paper on quantum algorithms for SDP-solving by Brand\~ao and Svore in 2016, rapid developments has been made on quantum optimization algorithms.
Optimal Design
S. D. Silvey · 1980
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Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming
M. X. Goemans and D. P. Williamson · 1995
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A quantum algorithm for finding the minimum
C. Dürr and P. Høyer · 1996
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Structured Semidefinite Programs and Semialgebraic Geometry Methods in Robustness and Optimization
Pablo Parrilo · 2000
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Global optimization with polynomials and the problem of moments
Jean Lasserre · 2001
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A semidefinite programming approach to optimal unambiguous discrimination of quantum states
Y. C. Eldar · 2003
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Consequences and limits of nonlocal strategies
R. Cleve, P. Høyer, B. Toner, and J. Watrous · 2004
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Lower bound for quantum phase estimation
Arvid J. Bessen · 2005
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Quantum copy-protection and quantum money
Scott Aaronson · 2009
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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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Variations on quantum adversary
Aleksandrs Belovs · 2015
Cited alongside, same era.
Lower bounds on the size of semidefinite programming relaxations
J. R. Lee, P. Raghavendra, and D. Steurer · 2015
Cited alongside, same era.
A faster cutting plane method and its implications for combinatorial and convex optimization
Y. T. Lee, A. Sidford, and S. C. Wong · 2015
Cited alongside, same era.
A combinatorial, primal-dual approach to semidefinite programs
S. Arora and S. Kale · 2016
Cited alongside, same era.
Quantum speed-ups for semidefinite programming
Fernando G. S. L. Brandão and Krysta M. Svore · 2017
Later among the works it cites.
András Gilyén, Srinivasan Arunachalam, and Nathan Wiebe · 2017
Later among the works it cites.
Sequential measurements, disturbance and property testing
Aram W. Harrow, Cedric Yen-Yu Lin, and Ashley Montanaro · 2017
Later among the works it cites.
Quantum recommendation systems
Iordanis Kerenidis and Anupam Prakash · 2017
Later among the works it cites.
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Guang Hao Low and Isaac L. Chuang · 2016
Cited alongside, same era.
Shadow Tomography of Quantum States, 2017, arXiv: 1711.01053
Scott Aaronson · 2017
Cited alongside, same era.
Quantum SDP-solvers: Better upper and lower bounds
J. van Apeldoorn, A. Gilyén, S. Gribling, and R. de Wolf · 2017
Cited alongside, same era.
Fernando G. S. L. Brandão, Amir Kalev, Tongyang Li, Cedric Yen-Yu Lin, Krysta M. Svore, and Xiaodi Wu · 2017
Cited alongside, same era.
Guang Hao Low and Isaac L. Chuang · 2017
Later among the works it cites.
Personal communication
Xiaodi Wu · 2017
Later among the works it cites.
Fernando G. S. L. Brandão, Amir Kalev, Tongyang Li, Cedric Yen-Yu Lin, Krysta M. Svore, and Xiaodi Wu · 2018
Closest in time.
Shantanav Chakraborty, András Gilyén, and Stacey Jeffery · 2018
Closest in time.
Unpublished manuscript
András Gilyén and Nathan Wiebe · 2018
Closest in time.