Automorphic equivalence preserves the split property

@article{Moon2019AutomorphicEP,
  title={Automorphic equivalence preserves the split property},
  author={Alvin Moon},
  journal={Journal of Functional Analysis},
  year={2019}
}
  • Alvin Moon
  • Published 3 March 2019
  • Mathematics
  • Journal of Functional Analysis
View PDF on arXiv
8 Citations
Background Citations
2
Methods Citations
1
Results Citations
2

8 Citations

Classification of equivariant approximately locality-preserving unitaries on spin chains

We extend the classification of approximately locality-preserving unitaries (ALPUs) on spin chains recently obtained by [1] to take a local symmetry action of a finite symmetry group G into account.…

Automorphic equivalence within gapped phases in the bulk

Stability of the spectral gap and ground state indistinguishability for a decorated AKLT model

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On ℤ2-indices for ground states of fermionic chains

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M ay 2 01 9 On Z 2-indices for ground states of fermionic chains

For parity-conserving fermionic chains, we review how to associate Z2-indices to ground states in finite systems with quadratic and higher-order interactions as well as to quasifree ground states on…

Quasi-Locality Bounds for Quantum Lattice Systems. Part II. Perturbations of Frustration-Free Spin Models with Gapped Ground States

We study the stability with respect to a broad class of perturbations of gapped ground-state phases of quantum spin systems defined by frustration-free Hamiltonians. The core result of this work is a…

The Split and Approximate Split Property in 2D Systems: Stability and Absence of Superselection Sectors

The split property of a pure state for a certain cut of a quantum spin system can be understood as the entanglement between the two subsystems being weak. From this point of view, we may say that if…

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