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Trapped Ion Quantum Computing

Certifying the dimension of classical and quantum systems in a prepare-and-measure scenario with independent devices

arXiv
Authors: Joseph Bowles, Marco Tulio Quintino, Nicolas Brunner

Year

2013

Paper ID

32053

Status

Preprint

Abstract Read

~2 min

Abstract Words

99

Citations

N/A

Abstract

We consider the problem of testing the dimension of uncharacterised classical and quantum systems in a prepare-and-measure setup. Here we assume the preparation and measurement devices to be independent, thereby making the problem non-convex. We present a simple method for generating nonlinear dimension witnesses for systems of arbitrary dimension. The simplest of our witnesses is highly robust to technical imperfections, and can certify the use of qubits in the presence of arbitrary noise and arbitrarily low detection efficiency. Finally, we show that this witness can be used to certify the presence of randomness, suggesting applications in quantum information processing.

Why This Paper Matters

  • This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
  • It adds a 2013 reference point for readers tracking recent quantum research.
  • We consider the problem of testing the dimension of uncharacterised classical and quantum systems in a prepare-and-measure setup.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1311.1525 [2] arXiv https://arxiv.org/abs/1311.1525 [3] Publisher https://arxiv.org/abs/1311.1525

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