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- W4304891715 abstract "Through the introduction of auxiliary fermions, or an enlarged spin space, one can map local fermion Hamiltonians onto local spin Hamiltonians, at the expense of introducing a set of additional constraints. We present a variational Monte-Carlo framework to study fermionic systems through higher-dimensional (<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mo>></mml:mo></mml:math>1D) Jordan-Wigner transformations. We provide exact solutions to the parity and Gauss-law constraints that are encountered in bosonization procedures. We study the <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>t</mml:mi></mml:math>-<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>V</mml:mi></mml:math> model in 2D and demonstrate how both the ground state and the low-energy excitation spectra can be retrieved in combination with neural network quantum state ansatze." @default.
- W4304891715 created "2022-10-13" @default.
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- W4304891715 date "2022-10-13" @default.
- W4304891715 modified "2023-10-01" @default.
- W4304891715 title "Variational solutions to fermion-to-qubit mappings in two spatial dimensions" @default.
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- W4304891715 doi "https://doi.org/10.22331/q-2022-10-13-833" @default.
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