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Under suitable assumptions, the algorithms in [Lin, Tong, Quantum 2020] can estimate the ground state energy and prepare the ground state of a quantum Hamiltonian with near-optimal query complexities.
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Faster ground state preparation and high-precision ground energy estimation with fewer qubits
Y. Ge, J. Tura, and J. I. Cirac · 2019
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Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics
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Product decomposition of periodic functions in quantum signal processing
J. Haah · 2019
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Quantum-accelerated constraint programming
K. E. Booth, B. O’Gorman, J. Marshall, S. Hadfield, and E. Rieffel · 2021
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E. T. Campbell · 2021
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S. Gu, R. D. Somma, and B. Şahinoğlu · 2021
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Quantum algorithms for ground-state preparation and green’s function calculation
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D. Layden · 2021
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Even more efficient quantum computations of chemistry through tensor hypercontraction
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Fast-forwardable quantum evolution and where to find them
Y. Su · 2021
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A randomized quantum algorithm for statistical phase estimation
K. Wan, M. Berta, and E. T. Campbell · 2021
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Universal quantum algorithmic cooling on a quantum computer
P. Zeng, J. Sun, and X. Yuan · 2021
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Computing ground state properties with early fault-tolerant quantum computers
R. Zhang, G. Wang, and P. Johnson · 2021
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Heisenberg-limited ground state energy estimation for early fault-tolerant quantum computers
L. Lin and Y. Tong · 2022
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Exploiting fermion number in factorized decompositions of the electronic structure hamiltonian
S. McArdle, E. Campbell, and Y. Su · 2022
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Simulating challenging correlated molecules and materials on the sycamore quantum processor
R. N. Tazhigulov, S.-N. Sun, R. Haghshenas, H. Zhai, A. T. Tan, N. C. Rubin, R. Babbush, A. J. Minnich, and G. K. Chan · 2022
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State preparation boosters for early fault-tolerant quantum computation
G. Wang, S. Sim, and P. D. Johnson · 2022
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