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Topological Quantum Computing

Dynamical Phase Error in Interacting Topological Quantum Memories

arXiv
Authors: Luuk Coopmans, Shane Dooley, Ian Jubb, Kevin Kavanagh, Graham Kells

Year

2020

Paper ID

373

Status

Preprint

Abstract Read

~2 min

Abstract Words

87

Citations

N/A

Abstract

A local Hamiltonian with Topological Quantum Order (TQO) has a robust ground state degeneracy that makes it an excellent quantum memory candidate. This memory can be corrupted however if part of the state leaves the protected ground state manifold and returns later with a dynamically accrued phase error. Here we analyse how TQO suppresses this process and use this to quantify the degree to which spectral densities in different topological sectors are correlated. We provide numerical verification of our results by modelling an interacting p-wave superconducting wire.

Why This Paper Matters

  • This paper contributes to the Topological Quantum Computing research area in the Quantum Articles archive.
  • It adds a 2020 reference point for readers tracking recent quantum research.
  • A local Hamiltonian with Topological Quantum Order (TQO) has a robust ground state degeneracy that makes it an excellent quantum memory candidate.

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