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Quantum Generalizations of the Polynomial Hierarchy with Applications to QMA(2).

, , , , and . MFCS, volume 117 of LIPIcs, page 58:1-58:16. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, (2018)

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Improved Hardness Results for the Guided Local Hamiltonian Problem., , , , , , and . ICALP, volume 261 of LIPIcs, page 32:1-32:19. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, (2023)BQP, Meet NP: Search-To-Decision Reductions and Approximate Counting., and . ICALP, volume 297 of LIPIcs, page 70:1-70:19. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, (2024)Approximation Algorithms for QMA-Complete Problems., and . SIAM J. Comput., 41 (4): 1028-1050 (2012)Quantum Hamiltonian Complexity., , and . CoRR, (2014)Quantum Hamiltonian Complexity., , , and . Found. Trends Theor. Comput. Sci., 10 (3): 159-282 (2015)Dequantizing the Quantum singular value transformation: hardness and applications to Quantum chemistry and the Quantum PCP conjecture., and . STOC, page 19-32. ACM, (2022)Quantum Polynomial Hierarchies: Karp-Lipton, Error Reduction, and Lower Bounds., , , and . MFCS, volume 306 of LIPIcs, page 7:1-7:17. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, (2024)Approximation Algorithms for QMA-Complete Problems., and . CCC, page 178-188. IEEE Computer Society, (2011)Ground State Connectivity of Local Hamiltonians., and . ICALP (1), volume 9134 of Lecture Notes in Computer Science, page 617-628. Springer, (2015)Dequantizing the Quantum Singular Value Transformation: Hardness and Applications to Quantum Chemistry and the Quantum PCP Conjecture., and . SIAM J. Comput., 52 (4): 1009-1038 (August 2023)