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Simulation of the Hubbard model is a leading candidate for the first useful applications of a fault-tolerant quantum computer.
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N. J. Ross and P. Selinger, Optimal ancilla-free clifford+ t approximation of z-rotations, Quant. Inf. and Comp. 16
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2016
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2017
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2018
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2018
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R. Babbush, C. Gidney, D. W. Berry, N. Wiebe, J. McClean, A. Paler, A. Fowler, and H. Neven, Encoding electronic spectra in quantum circuits with linear t complexity, Phys. Rev. X 8
2018
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I. D. Kivlichan, J. McClean, N. Wiebe, C. Gidney, A. Aspuru-Guzik, G. K.-L. Chan, and R. Babbush, Quantum simulation of electronic structure with linear depth and connectivity, Physical review letters 120
2018
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Z. Jiang, K. J. Sung, K. Kechedzhi, V. N. Smelyanskiy, and S. Boixo, Quantum algorithms to simulate many-body physics of correlated fermions, Physical Review Applied 9
2018
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C. Gidney and A. G. Fowler, Efficient magic state factories with a catalyzed | CCZ ⟩ |\mathrm{CCZ}\rangle to 2 | T ⟩ 2|T\rangle transformation, Quantum 3
2019
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2020
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I. D. Kivlichan, C. Gidney, D. W. Berry, N. Wiebe, J. McClean, W. Sun, Z. Jiang, N. Rubin, A. Fowler, A. Aspuru-Guzik, et al. , Improved fault-tolerant quantum simulation of condensed-phase correlated electrons via trotterization, Quantum 4
2020
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Y. Ouyang, D. R. White, and E. T. Campbell, Compilation by stochastic hamiltonian sparsification, Quantum 4
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S. McArdle, S. Endo, A. Aspuru-Guzik, S. C. Benjamin, and X. Yuan, Quantum computational chemistry, Reviews of Modern Physics 92
2020
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M. E. Beverland, E. Campbell, M. Howard, and V. Kliuchnikov, Lower bounds on the non-clifford resources for quantum computations, Quantum Science and Technology (2020)
2020
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