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- W4381248147 abstract "Transcorrelated methods provide an efficient way of partially transferring the description of electronic correlations from the ground-state wave function directly into the underlying Hamiltonian. In particular, Dobrautz et al. [Phys. Rev. B 99, 075119 (2019)] have demonstrated that the use of momentum-space representation, combined with a nonunitary similarity transformation, results in a Hubbard Hamiltonian that possesses a significantly more ``compact'' ground-state wave function, dominated by a single Slater determinant. This compactness/single-reference character greatly facilitates electronic structure calculations. As a consequence, however, the Hamiltonian becomes non-Hermitian, posing problems for quantum algorithms based on the variational principle. We overcome these limitations with the Ansatz-based quantum imaginary-time evolution algorithm and apply the transcorrelated method in the context of digital quantum computing. We demonstrate that this approach enables up to four orders of magnitude more accurate and compact solutions in various instances of the Hubbard model at intermediate interaction strength ($U/t=4$), enabling the use of shallower quantum circuits for wave-function Ansatzes. In addition, we propose a more efficient implementation of the quantum imaginary-time evolution algorithm in quantum circuits that is tailored to non-Hermitian problems. To validate our approach, we perform hardware experiments on the ibmq_lima quantum computer. Our work paves the way for the use of exact transcorrelated methods for the simulations of ab initio systems on quantum computers." @default.
- W4381248147 created "2023-06-20" @default.
- W4381248147 creator A5001223912 @default.
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- W4381248147 creator A5042140240 @default.
- W4381248147 creator A5087528163 @default.
- W4381248147 creator A5091737589 @default.
- W4381248147 date "2023-06-20" @default.
- W4381248147 modified "2023-09-26" @default.
- W4381248147 title "Orders of magnitude increased accuracy for quantum many-body problems on quantum computers via an exact transcorrelated method" @default.
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