Skip to content
DraconiticResearch
Search Sources API
203,203 studies31 sourcesUpdated 59 min ago
PreprintarXiv licencearXiv

Information geometry of non-equilibrium quantum states: Mixed metric structures on an extended information manifold

  • Kouji Kashiwa
  • Hidefumi Matsuda
Open at sourcePDFDOICite

Abstract

We discuss an information-geometric framework for characterizing quantum states in non-equilibrium dynamics. Using the transverse-field Ising chain model as a laboratory, we investigate the quantum Fisher information metric with particular emphasis on the mixed metric component ght and related geometric observables, where h is a controllable post-quench Hamiltonian parameter and t is real time. The framework treats h and t as coordinates of an extended information manifold (h,t). The geometric observables characterize the speed of evolution on the manifold and the alignment between the temporal and parameter-deformation directions. Correlations between these geometric quantities and two widely used measures of non-equilibrium dynamics, the entanglement entropy and the Loschmidt echo, are analyzed.

Related

  1. Adaptive sensing beyond non-adaptive information limits: End-to-end co-design of geometry, policy, and inference
    Arvin Keshvari, William Tuxbury, Zin Lin
    Physical Review ResearchPeer-reviewedPublisher termsAtomic, molecular & optical physicsCrossref
  2. Nonlocal Teams and Information Structures
    Drishti Baruah, Sachin Teli, Ankur A. Kulkarni
    arXivPreprintCC BY 4.0Full textQuantum physics & quantum informationarXiv
  3. PXtal: Learning to Align Powder X-Ray Diffraction and Crystal Structures under Information Asymmetry across Modalities
    Zhuoran Yang, Christopher M. Collins, Bei Peng +3
    arXivPreprintarXiv licenceFull textCondensed matterarXiv
  4. Reframing of Information Geometry via Symmetric Teleparallel Gravity
    Tatsuaki Wada
    arXivPreprintarXiv licenceFull textGravitation & general relativityarXiv
  5. Scattering Measures and Information Geometry
    Tatsuro Oda
    arXivPreprintCC BY 4.0Full textMathematical physicsComputational physicsarXiv

Cite

BibTeXRIS
BibTeX
@misc{kashiwa2026information,
  title = {{Information geometry of non-equilibrium quantum states: Mixed metric structures on an extended information manifold}},
  author = {Kouji Kashiwa and Hidefumi Matsuda},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.00977},
  eprint = {2609.00977},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.00977},
}
RIS
TY  - UNPB
TI  - Information geometry of non-equilibrium quantum states: Mixed metric structures on an extended information manifold
AU  - Kouji Kashiwa
AU  - Hidefumi Matsuda
PY  - 2026
DA  - 2026/09/01
PB  - arXiv
DO  - 10.48550/arxiv.2609.00977
UR  - https://arxiv.org/abs/2609.00977
AB  - We discuss an information-geometric framework for characterizing quantum states in non-equilibrium dynamics. Using the transverse-field Ising chain model as a laboratory, we investigate the quantum Fisher information metric with particular emphasis on the mixed metric component g_ht and related geometric observables, where h is a controllable post-quench Hamiltonian parameter and t is real time. The framework treats h and t as coordinates of an extended information manifold (h,t). The geometric observables characterize the speed of evolution on the manifold and the alignment between the temporal and parameter-deformation directions. Correlations between these geometric quantities and two widely used measures of non-equilibrium dynamics, the entanglement entropy and the Loschmidt echo, are analyzed.
ER  -