Entanglement classification via integer partitions

@article{Li2019EntanglementCV,
  title={Entanglement classification via integer partitions},
  author={Dafa Li},
  journal={Quantum Information Processing},
  year={2019},
  volume={19}
}
  • Dafa Li
  • Published 5 May 2019
  • Mathematics
  • Quantum Information Processing
In Walter et al. (Science 340:1205, 2013), they gave a sufficient condition for genuinely entangled pure states and discussed SLOCC classification via polytopes and the eigenvalues of the single-particle states. In this paper, for 4n qubits, we show the invariance of algebraic multiplicities (AMs) and geometric multiplicities (GMs) of eigenvalues and the invariance of sizes of Jordan blocks (JBs) of the coefficient matrices under SLOCC. We explore properties of spectra, eigenvectors… 
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