Skip to content
DraconiticResearch
Search Sources API
197,787 studies31 sourcesUpdated 58 min ago
PreprintarXiv licencearXiv

Bounds on non-hermite Wigner-Yanase-Dyson skew information

Abstract

We obtain the relation between non-hermite skew information NIρ,α(A), NUρ,α(A), variance NVρ(A) and NJρ,α(A) by using the maximal eigenvalue and the minimal eigenvalue of density ρ. And also we obtain their refinements.

Related

  1. Lieb-Robinson bounds for irreversible dynamics via adaptive Dyson expansion
    Carla Rubiliani, Marius Wesle, Tom Wessel
    arXivPreprintCC BY 4.0Full textMathematical physicsQuantum physics & quantum informationarXiv
  2. Hermite-Fisher bounds and stability for min-entropy power inequalities
    Silouanos Brazitikos, Martin Rapaport, Tomasz Tkocz
    arXivPreprintarXiv licenceFull textAnalysis & PDEsGeometry & topologyarXiv
  3. From Privacy to Generalization: Linear Max-Information Bounds for Differentially Private Learning Algorithms
    Christoph H. Lampert, Max Cairney-Leeming, Hossein Zakerinia
    arXivPreprintCC BY 4.0Full textStatisticsarXiv
  4. Bayesian Optimization with Fisher Information Geometry: Gradient Bounds and Trust-Region Methods
    Saksham Kiroriwal, Julius Pfrommer, Jürgen Beyerer
    arXivPreprintarXiv licenceFull textGeneral mathematicsarXiv
  5. Residual-Information Generalization Bounds Under Selective Privacy: Extended Version
    Amirreza Zamani, Parastoo Sadeghi, Mikael Skoglund
    arXivPreprintCC BY 4.0Full textGeneral mathematicsarXiv
BibTeX
@misc{yanagi2026bounds,
  title = {{Bounds on non-hermite Wigner-Yanase-Dyson skew information}},
  author = {Kenjiro Yanagi},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.27426},
  eprint = {2609.27426},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.27426},
}
RIS
TY  - UNPB
TI  - Bounds on non-hermite Wigner-Yanase-Dyson skew information
AU  - Kenjiro Yanagi
PY  - 2026
DA  - 2026/09/23
PB  - arXiv
DO  - 10.48550/arxiv.2609.27426
UR  - https://arxiv.org/abs/2609.27426
AB  - We obtain the relation between non-hermite skew information NI_ρ,α(A), NU_ρ,α(A), variance NV_ρ(A) and NJ_ρ,α(A) by using the maximal eigenvalue and the minimal eigenvalue of density ρ. And also we obtain their refinements.
ER  -