Quantum Steering of Surface Error Correcting Codes

Volya, Daniel, Mishra, Prabhat

2023 IEEE International Conference on Quantum Computing and Engineering (QCE), pages 1394–1399, September 2023, doi: 10.1109/QCE57702.2023.00158

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Abstract

Surface codes provide a promising path towards large-scale fault-tolerant quantum computers. However, outside the difficulty in engineering qubits, their theoretical realization is hindered by a number of technical implementation details, including the initialization of an encoded quantum state on contemporary quantum computers. We propose a solution to overcome these challenges by utilizing recent theoretical devel- opments in measurement-induced quantum steering. An encoded quantum state is prepared by repeatedly performing the following steps: (1) entangling qubits via a specifically chosen operation, (2) performing measurement on some of the qubits, and (3) resetting the measured qubits’ states. We demonstrate our results using numerical simulations of surface codes, noting convergence of state fidelity, and commenting on choices for parameter selection.

Bibtex


@inproceedings{volyaSteeringSurfaceCodes2023,
  title = {Quantum Steering of Surface Error Correcting Codes},
  booktitle = {2023 IEEE International Conference on Quantum Computing and Engineering (QCE)},
  author = {Volya, Daniel and Mishra, Prabhat},
  year = {2023},
  month = {sept},
  pages = {1394--1399},
  doi = {10.1109/QCE57702.2023.00158},
  abstract = {Surface codes provide a promising path towards
  large-scale fault-tolerant quantum computers. However, outside
  the difficulty in engineering qubits, their theoretical realization
  is hindered by a number of technical implementation details,
  including the initialization of an encoded quantum state on
  contemporary quantum computers. We propose a solution to
  overcome these challenges by utilizing recent theoretical devel-
  opments in measurement-induced quantum steering. An encoded
  quantum state is prepared by repeatedly performing the following
  steps: (1) entangling qubits via a specifically chosen operation, (2)
  performing measurement on some of the qubits, and (3) resetting
  the measured qubits’ states. We demonstrate our results using
  numerical simulations of surface codes, noting convergence of
  state fidelity, and commenting on choices for parameter selection.},
}