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arXiv · 2112.10005

From tensors to qubits

Yannick Meurice·Alexei Bazavov·Patrick Dreher·Erik Gustafson·Leon Hostetler·Ryo Sakai·Shan-Wen Tsai·Judah Unmuth-Yockey·Jin Zhang
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Abstract

We discuss recent progress in Tensor Lattice Field Theory and economical, symmetry preserving, truncations suitable for quantum computations or simulations. We focus on spin and gauge models with continuous Abelian symmetries such as the Abelian Higgs model and emphasize noise-robust implementations of Gauss's law. We discuss recent progress concerning the comparison between field digitizations and character expansions, symmetry breaking in tensor language, wave-packet preparation and possible new implementations of Abelian models using Rydberg atoms.

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Yannick Meurice, Alexei Bazavov, Patrick Dreher, Erik Gustafson, Leon Hostetler, Ryo Sakai, Shan-Wen Tsai, Judah Unmuth-Yockey, Jin Zhang. 2021-12-18. From tensors to qubits. https://arxiv.org/abs/2112.10005

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