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Trapped Ion Quantum Computing

Holonomic Surface Codes for Fault-Tolerant Quantum Computation

arXiv
Authors: Jiang Zhang, Simon J. Devitt, J. Q. You, Franco Nori

Year

2017

Paper ID

44151

Status

Preprint

Abstract Read

~2 min

Abstract Words

110

Citations

N/A

Abstract

Surface codes can protect quantum information stored in qubits from local errors as long as the per-operation error rate is below a certain threshold. Here we propose holonomic surface codes by harnessing the quantum holonomy of the system. In our scheme, the holonomic gates are built via auxiliary qubits rather than the auxiliary levels in multilevel systems used in conventional holonomic quantum computation. The key advantage of our approach is that the auxiliary qubits are in their ground state before and after each gate operation, so they are not involved in the operation cycles of surface codes. This provides an advantageous way to implement surface codes for fault-tolerant quantum computation.

Why This Paper Matters

  • This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
  • It adds a 2017 reference point for readers tracking recent quantum research.
  • Surface codes can protect quantum information stored in qubits from local errors as long as the per-operation error rate is below a certain threshold.

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