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PreprintCC BY 4.0arXiv

Quantum-State Texture Dynamics: Theory and Experiment

  • Carlos H. S. Vieira
  • Xinfang Nie
  • Dawei Lu
  • Fernando Parisio
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Abstract

Quantum-state texture (QST) has found applications in several fields from quantum foundations and computation to quantum criticality. However, a general theory of QST dynamics under arbitrary physical processes remains unavailable, limiting both its practical application and experimental exploration. Here, we demonstrate that the QST response to an arbitrary finite-dimensional channel is fully encoded in the dual evolution of a single reference state. This description yields necessary and sufficient conditions for texture preservation and implies exact conservation under all free-unital dynamics. Using a nuclear magnetic resonance quantum processor, we experimentally verify these predictions across distinct channel classes. Furthermore, we show that local QST measurements provide an operational signature of entangling gates in circuit layers. Our results establish quantum-state texture as a resource and a practical diagnostic tool in quantum information processing.

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Cite

BibTeXRIS
BibTeX
@misc{vieira2026quantumstate,
  title = {{Quantum-State Texture Dynamics: Theory and Experiment}},
  author = {Carlos H. S. Vieira and Xinfang Nie and Dawei Lu and Fernando Parisio},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.05248},
  eprint = {2609.05248},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.05248},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Quantum-State Texture Dynamics: Theory and Experiment
AU  - Carlos H. S. Vieira
AU  - Xinfang Nie
AU  - Dawei Lu
AU  - Fernando Parisio
PY  - 2026
DA  - 2026/09/04
PB  - arXiv
DO  - 10.48550/arxiv.2609.05248
UR  - https://arxiv.org/abs/2609.05248
AB  - Quantum-state texture (QST) has found applications in several fields from quantum foundations and computation to quantum criticality. However, a general theory of QST dynamics under arbitrary physical processes remains unavailable, limiting both its practical application and experimental exploration. Here, we demonstrate that the QST response to an arbitrary finite-dimensional channel is fully encoded in the dual evolution of a single reference state. This description yields necessary and sufficient conditions for texture preservation and implies exact conservation under all free-unital dynamics. Using a nuclear magnetic resonance quantum processor, we experimentally verify these predictions across distinct channel classes. Furthermore, we show that local QST measurements provide an operational signature of entangling gates in circuit layers. Our results establish quantum-state texture as a resource and a practical diagnostic tool in quantum information processing.
ER  -