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July 14, 2026Open Access

Multifractality as a sensing resource: a D2 figure of merit for Rosenzweig-Porter systems, and a lattice platform

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Authors

JBJ. Arturo Ornelas Brand

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Overview

Randomized trial uncovers the metrological merit of multifractality in quantum states, suggesting new sensing strategies.

Key Points

  • This research aims to unify two established results regarding the fidelity susceptibility and quantum Fisher information in quantum states, particularly for Rosenzweig-Porter systems.
  • Measured eigenfunction fidelity susceptibility and quantum Fisher information in various lattice models.
  • Conducted preregistered experiments on the generalized-RP ensemble, Sierpinski-gasket lattice, and critical power-law banded random matrices.
  • Constructed a minimal model with cold atoms to explore the effects of interaction and disorder on the system.
  • Confirmed eigenvector fractal dimension D2 relates to the enhancement of quantum Fisher information with an accuracy of 0.15 at four interior points.
  • Demonstrated no effect from geometric fractality alone in the Sierpinski-gasket lattice (enhancement −0.12).
  • Observed a heavy tail in susceptibility at the ergodic edge of the t–V chain crossover, consistent with predictions.

Cite This Study

J. Arturo Ornelas Brand (2026) studied this question.

synapsesocial.com/papers/6a55d16e5aafca87247f8607https://doi.org/10.5281/zenodo.21316839
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