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Topological Quantum Computing

Chiral projected entangled-pair state with topological order

arXiv
Authors: Shuo Yang, Thorsten B. Wahl, Hong-Hao Tu, Norbert Schuch, J. Ignacio Cirac

Year

2014

Paper ID

46292

Status

Preprint

Abstract Read

~2 min

Abstract Words

61

Citations

N/A

Abstract

We show that projected entangled-pair states (PEPS) can describe chiral topologically ordered phases. For that, we construct a simple PEPS for spin-1/2 particles in a two-dimensional lattice. We reveal a symmetry in the local projector of the PEPS that gives rise to the global topological character. We also extract characteristic quantities of the edge conformal field theory using the bulk-boundary correspondence.

Why This Paper Matters

  • This paper contributes to the Topological Quantum Computing research area in the Quantum Articles archive.
  • It adds a 2014 reference point for readers tracking recent quantum research.
  • We show that projected entangled-pair states (PEPS) can describe chiral topologically ordered phases.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1411.6618 [2] arXiv https://arxiv.org/abs/1411.6618 [3] Publisher https://arxiv.org/abs/1411.6618

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