Skip to content
DraconiticResearch
Search Sources API
194,230 studies31 sourcesUpdated 24 min ago
PreprintCC BY 4.0arXiv

Dimension-free marginal inequalities for pure three-party states

  • Simon Morelli
Open at sourcePDFDOICite

Abstract

The quantum marginal problem, concerned with the compatibility of local and global properties of a multipartite quantum system, is arguably one of the fundamental questions in quantum theory. In this article we introduce a novel family of inequalities bounding the allowed local spectra of a pure tripartite state. The number of inequalities in this family grows with the dimension of the system. Most importantly, the inequalities hold for arbitrary dimensions. For equal local dimension at most 4, they generate the complete set of eigenvalue inequalities.

Related

  1. Stabilizer entropy cones as self-dual slices of linear rank cones: a five-party gap and dependence on the local dimension
    Xidan Song, Ruifeng Cao
    arXivPreprintarXiv licenceFull textCombinatorics & discrete mathematicsQuantum physics & quantum informationarXiv
  2. Logical Bell Inequalities for Marginal Wigner Negativity
    Sanchit Srivastava, Selman Ipek, Cihan Okay +1
    arXivPreprintarXiv licenceFull textQuantum physics & quantum informationarXiv
  3. A Three-Party W-State Quantum Secret Sharing Protocol with X-Gate Encoding and Forbidden-Outcome Detection
    Timur R. Teregulov, Elena R. Loubenets
    arXivPreprintarXiv licenceFull textQuantum physics & quantum informationarXiv
  4. Resolving the Prisoner’s Dilemma in Industry, University, and Research Cooperation: A Three Party Evolutionary Game with BERT Based Parameter Estimation
    Rongning Chen, Jiuji Zhang, Yifei Hua +1
    Journal of Applied Science and EngineeringPeer-reviewedCC BYFull textGeneral physicsDOAJ
  5. Quenched complexity of marginal states in the Sherrington--Kirkpatrick spin glass
    Tiziana De Chirico, Luca Leuzzi
    arXivPreprintCC BY 4.0Full textCondensed matterStatistical & nonlinear physicsarXiv

Cite

BibTeXRIS
BibTeX
@misc{morelli2026dimensionfree,
  title = {{Dimension-free marginal inequalities for pure three-party states}},
  author = {Simon Morelli},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.28162},
  eprint = {2610.28162},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.28162},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Dimension-free marginal inequalities for pure three-party states
AU  - Simon Morelli
PY  - 2026
DA  - 2026/10/20
PB  - arXiv
DO  - 10.48550/arxiv.2610.28162
UR  - https://arxiv.org/abs/2610.28162
AB  - The quantum marginal problem, concerned with the compatibility of local and global properties of a multipartite quantum system, is arguably one of the fundamental questions in quantum theory. In this article we introduce a novel family of inequalities bounding the allowed local spectra of a pure tripartite state. The number of inequalities in this family grows with the dimension of the system. Most importantly, the inequalities hold for arbitrary dimensions. For equal local dimension at most 4, they generate the complete set of eigenvalue inequalities.
ER  -