Synergies Between Operations Research and Quantum Information Science
References
- (2015) Read the fine print. Nature Phys. 11(4):291–293.Crossref, Google Scholar
- (2021) Open problems related to quantum query complexity. ACM Trans. Quantum Comput. 2(4):1–9.Crossref, Google Scholar
- (2022) How much structure is needed for huge quantum speedups? Preprint, submitted September 14, https://arxiv.org/abs/2209.06930.Google Scholar
- (2016) Complexity-theoretic foundations of quantum supremacy experiments. Preprint, submitted December 18, https://arxiv.org/abs/1612.05903.Google Scholar
- (2022) A polynomial-time classical algorithm for noisy random circuit sampling. Preprint, submitted November 8, https://arxiv.org/abs/2211.03999.Google Scholar
- (2022) Concentration bounds for quantum states and limitations on the QAOA from polynomial approximations. Preprint, submitted December 20, https://arxiv.org/abs/2209.02715.Google Scholar
- (2020) Beyond product state approximations for a quantum analogue of Max Cut. Proc. 15th Conf. on the Theory of Quantum Comput., Comm., and Cryptography (Schloss Dagstuhl-Leibniz-Zentrum für Informatik, Wadern, Germany).Google Scholar
- (2021) Improved approximation algorithms for bounded-degree local Hamiltonians. Phys. Rev. Lett. 127(25):250502.Crossref, Google Scholar
- (2019) Quantum query algorithms are completely bounded forms. SIAM J. Comput. 48(3):903–925.Crossref, Google Scholar
- (2019) Quantum supremacy using a programmable superconducting processor. Nature 574(7779):505–510.Crossref, Google Scholar
- (2021) Quantum interior point methods for semidefinite optimization. Preprint, submitted December 11, https://arxiv.org/abs/2112.06025.Google Scholar
- (2020) Convex optimization of programmable quantum computers. NPJ Quantum Inform. 6(1):1–10.Google Scholar
- (2003) Quantum query complexity and semi-definite programming. Proc. 18th IEEE Annual Conf. on Comput. Complexity (IEEE, Piscataway, NJ), 179–193.Google Scholar
- (2020) Symmetries, graph properties, and quantum speedups. Proc. IEEE 61st Annual Sympos. on Foundations of Comput. Sci. (IEEE, Piscataway, NJ), 649–660.Google Scholar
- (2022) Semidefinite programming hierarchies for constrained bilinear optimization. Math. Programming 194:781–829.Crossref, Google Scholar
- (2017) Quantum machine learning. Nature 549(7671):195–202.Crossref, Google Scholar
- (2020) Obstacles to variational quantum optimization from symmetry protection. Phys. Rev. Lett. 125(26):260505.Crossref, Google Scholar
- (2014) Bell nonlocality. Rev. Modern Phys. 86(2):419.Crossref, Google Scholar
- (2020) Quantum algorithms and lower bounds for convex optimization. Quantum 4:221.Crossref, Google Scholar
- (2022) The complexity of NISQ. Preprint, submitted October 13, https://arxiv.org/abs/2210.07234.Google Scholar
- (2020) Sampling-based sublinear low-rank matrix arithmetic framework for dequantizing quantum machine learning. Proc. 52nd Annual ACM SIGACT Sympos. on Theory of Comput. (ACM, New York), 387–400.Google Scholar
- (2022) Limitations of local quantum algorithms on random Max-k-XOR and beyond. Proc. 49th Internat. Colloquium on Automata, Languages, and Programming (Schloss Dagstuhl-Leibniz-Zentrum für Informatik, Wadern, Germany).Google Scholar
- (2021) Revisiting dequantization and quantum advantage in learning tasks. Preprint, submitted December 6, https://arxiv.org/abs/2112.00811.Google Scholar
- (2019) Applications of the quantum algorithm for st-connectivity. Proc. 14th Conf. on the Theory of Quantum Comput., Comm., and Cryptography (Schloss Dagstuhl-Leibniz-Zentrum fuer Informatik, Wadern, Germany).Google Scholar
- (2018) Quantum linear systems algorithms: A primer. Preprint, submitted February 22, https://arxiv.org/abs/1802.08227.Google Scholar
- (1997) Geometry of Cuts and Metrics (Springer, Berlin).Crossref, Google Scholar
- DIMACS (2022) DIMACS implementation challenges. Accessed December 6, 2022, http://dimacs.rutgers.edu/programs/challenge/.Google Scholar
- (2020) Quantum certification and benchmarking. Nature Rev. Phys. 2(7):382–390.Crossref, Google Scholar
- (2014) A quantum approximate optimization algorithm. Preprint, submitted November 14, https://arxiv.org/abs/1411.4028.Google Scholar
- (2022) Optimal self-concordant barriers for quantum relative entropies. Preprint, submitted June 28, https://arxiv.org/abs/2205.04581.Google Scholar
- (2022) Binary control pulse optimization for quantum systems. Preprint, submitted December 8, https://arxiv.org/abs/2204.05773.Google Scholar
- (2015) Exponential lower bounds for polytopes in combinatorial optimization. J. ACM 62(2):1–23.Crossref, Google Scholar
- (2007) Optimum quantum error recovery using semidefinite programming. Phys. Rev. A 75(1):012338.Crossref, Google Scholar
- (2021) Near-optimal lower bounds for convex optimization for all orders of smoothness. Adv. Neural Inform. Processing Systems 34:29874–29884.Google Scholar
- (2019) Almost optimal classical approximation algorithms for a quantum generalization of Max-Cut. Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (Schloss Dagstuhl-Leibniz-Zentrum fuer Informatik, Wadern, Germany).Google Scholar
- (2019) Optimizing quantum optimization algorithms via faster quantum gradient computation. Proc. 30th Annual ACM-SIAM Sympos. on Discrete Algorithms (SIAM, Philadelphia), 1425–1444.Google Scholar
- (1995) Improved approximation algorithms for Maximum Cut and satisfiability problems using semidefinite programming. J. ACM 42(6):1115–1145.Crossref, Google Scholar
- (2019) Semidefinite programming formulations for the completely bounded norm of a tensor. Preprint, submitted January 15, https://arxiv.org/abs/1901.04921.Google Scholar
- (2021) Mutually unbiased bases: Polynomial optimization and symmetry. Preprint, submitted November 10, https://arxiv.org/abs/2111.05698.Google Scholar
- (2018) Quantum Algorithms for Scientific Computing and Approximate Optimization (Columbia University, New York).Google Scholar
- (2022) Where can I learn about quantum information? Accessed December 6, 2022, https://web.mit.edu/aram/www/advice/quantum.html.Google Scholar
- (2022) A faster quantum algorithm for semidefinite programming via robust IPM framework. Preprint, submitted July 22, https://arxiv.org/abs/2207.11154.Google Scholar
- (2021) Unique games hardness of Quantum Max-Cut, and a conjectured vector-valued Borell’s inequality. Proc. 2023 Annual ACM-SIAM Symp. Discrete Algorithms (ACM-SIAM), 1319–1384.Google Scholar
- (2010) QIP=PSPACE. Comm. ACM 53(12):102–109.Crossref, Google Scholar
- (2021) MIP*= RE. Comm. ACM 64(11):131–138.Crossref, Google Scholar
- (2020) The argument against quantum computers. Quantum, Probability, Logic (Springer, Berlin), 399–422.Crossref, Google Scholar
- (2015) Query complexity in expectation. International Colloquium on Automata, Languages, and Programming (Springer, Berlin), 761–772.Crossref, Google Scholar
- (2020) Quantum gradient descent for linear systems and least squares. Phys. Rev. A 101(2):022316.Crossref, Google Scholar
- (2021) Quantum algorithms for second-order cone programming and support vector machines. Quantum 5:427.Crossref, Google Scholar
- (2007) Optimal inapproximability results for MAX-CUT and other 2-variable CSPs? SIAM J. Comput. 37(1):319–357.Crossref, Google Scholar
- (2021) Theory of quantum system certification. PRX Quantum 2(1):010201.Crossref, Google Scholar
- (2009) Quantum error correction via convex optimization. Quantum Inform. Processing 8(5):443–459.Crossref, Google Scholar
- (2022) Quantum computational advantage with a programmable photonic processor. Nature 606(7912):75–81.Crossref, Google Scholar
- (2022) Bounds on approximating Max kXOR with quantum and classical local algorithms. Quantum 6:757.Crossref, Google Scholar
- (2021) How to get started in quantum computing. Nature 591(7848):166–167.Crossref, Google Scholar
- (2009) Strange but true: Superfluid helium can climb walls. Sci. Amer. 300:2.Google Scholar
- (2021) Decision tree for optimization software. http://plato.asu.edu/guide.html.Google Scholar
- (2016) A survey of quantum property testing. Theory Comput. 1–81.Crossref, Google Scholar
- (2022) Optimizing frequency allocation for fixed-frequency superconducting quantum processors. Phys. Rev. Res. 4(2):023079.Crossref, Google Scholar
- (2021) Nonlocal games, compression theorems, and the arithmetical hierarchy. Preprint, submitted October 12, https://arxiv.org/abs/2110.04651.Google Scholar
- (2021) QuantumCircuitOpt: An open-source framework for provably optimal quantum circuit design. Proc. IEEE/ACM 2nd Internat. Workshop on Quantum Comput. Software (IEEE, Piscataway, NJ), 55–63.Google Scholar
- (2022) Fast quantum subroutines for the simplex method. Oper. Res. Accessed December 6, 2022, https://pubsonline.informs.org/doi/abs/10.1287/opre.2022.2341?journalCode=opre.Link, Google Scholar
- (2022) Optimal qubit assignment and routing via integer programming. ACM Trans. Quantum Comput. 4(1):1–31.Crossref, Google Scholar
- (2010) Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, UK).Google Scholar
- (2016) Survey on nonlocal games and operator space theory. J. Math. Phys. 57(1):015220.Crossref, Google Scholar
- (2021a) Application of the level-2 quantum Lasserre hierarchy in quantum approximation algorithms. Proc. 48th Internat. Colloquium on Automata, Languages, and Programming (Schloss Dagstuhl-Leibniz-Zentrum für Informatik, Wadern, Germany).Google Scholar
- (2021b) Beating random assignment for approximating quantum 2-local Hamiltonian problems. Proc. 29th Annual Eur. Sympos. on Algorithms (Schloss Dagstuhl-Leibniz-Zentrum für Informatik, Wadern, Germany).Google Scholar
- (2022) An optimal product-state approximation for 2-local quantum Hamiltonians with positive terms. Preprint, submitted June 16, https://arxiv.org/abs/2206.08342.Google Scholar
- (2010) Convergent relaxations of polynomial optimization problems with noncommuting variables. SIAM J. Optim. 20(5):2157–2180.Crossref, Google Scholar
- (2018) Quantum computing in the NISQ era and beyond. Quantum 2:79.Crossref, Google Scholar
- (2011) Reflections for quantum query algorithms. Proc. 22nd Annual ACM-SIAM Sympos. on Discrete Algorithms (SIAM, Philadelphia), 560–569.Crossref, Google Scholar
- (2021) Five starter pieces: Quantum information science via semi-definite programs. Preprint, submitted December 15, https://arxiv.org/abs/2112.08276.Google Scholar
- (2019) A quantum-inspired classical algorithm for recommendation systems. Proc. 51st Annual ACM SIGACT Sympos. on Theory of Comput., 217–228.Crossref, Google Scholar
- (2021) CutQC: Using small quantum computers for large quantum circuit evaluations. Proc. 26th ACM Internat. Conf. on Architectural Support for Programming Languages and Operating Systems (ACM, New York), 473–486.Google Scholar
- (2020) Convex optimization using quantum oracles. Quantum 4:220.Crossref, Google Scholar
- (2016) Entanglement made simple. Quanta Magazine. Accessed December 6, 2022, https://www.quantamagazine.org/entanglement-made-simple-20160428/.Google Scholar

