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October 12, 2025SciPost Physics CoreOpen Access

Fractal decompositions and tensor network representations of Bethe wavefunctions

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Authors

SSSubhayan SahuGVGuifré Vidal

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Overview

This research demonstrates tensor network representations of Bethe wavefunctions, highlighting their entanglement structure and quantum circuit applications.

Key Points

  • The study reveals the entanglement structure of M-particle Bethe wavefunctions through tensor network representations.
  • Exact analytical forms for tree tensor networks are constructed, accommodating various Bethe wavefunction decompositions.
  • The approach includes adaptive quantum circuits that effectively prepare Bethe wavefunctions with unitary gates.
  • Broader classes of generalized Bethe wavefunctions are identified, enabling similar tensor network and quantum circuit representations.

Cite This Study

Sahu et al. (2025) studied this question.

synapsesocial.com/papers/68ebe3d6becc64ad52fdad21https://doi.org/10.21468/scipostphyscore.8.4.067
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