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Topological Quantum Computing

A {mathbb Z}2-index of symmetry protected topological phases with time reversal symmetry for quantum spin chains

arXiv
Authors: Yoshiko Ogata

Year

2018

Paper ID

24303

Status

Preprint

Abstract Read

~2 min

Abstract Words

33

Citations

N/A

Abstract

We introduce a {mathbb Z}2-index for time reversal invariant Hamiltonians with unique gapped ground state on quantum spin chains. We show this is an invariant of a C1-classification of gapped Hamiltonians.

Why This Paper Matters

  • This paper contributes to the Topological Quantum Computing research area in the Quantum Articles archive.
  • It adds a 2018 reference point for readers tracking recent quantum research.
  • We introduce a mathbb Z2-index for time reversal invariant Hamiltonians with unique gapped ground state on quantum spin chains.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1810.01045 [2] arXiv https://arxiv.org/abs/1810.01045 [3] Publisher https://arxiv.org/abs/1810.01045

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