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Quantum Foundations

Contextuality as a resource for models of quantum computation on qubits

arXiv
Authors: Juan Bermejo-Vega, Nicolas Delfosse, Dan E. Browne, Cihan Okay, Robert Raussendorf

Year

2016

Paper ID

42721

Status

Preprint

Abstract Read

~2 min

Abstract Words

101

Citations

N/A

Abstract

A central question in quantum computation is to identify the resources that are responsible for quantum speed-up. Quantum contextuality has been recently shown to be a resource for quantum computation with magic states for odd-prime dimensional qudits and two-dimensional systems with real wavefunctions. The phenomenon of state-independent contextuality poses a priori an obstruction to characterizing the case of regular qubits, the fundamental building block of quantum computation. Here, we establish contextuality of magic states as a necessary resource for a large class of quantum computation schemes on qubits. We illustrate our result with a concrete scheme related to measurement-based quantum computation.

Why This Paper Matters

  • This paper contributes to the Quantum Foundations research area in the Quantum Articles archive.
  • It adds a 2016 reference point for readers tracking recent quantum research.
  • A central question in quantum computation is to identify the resources that are responsible for quantum speed-up.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1610.08529 [2] arXiv https://arxiv.org/abs/1610.08529 [3] Publisher https://arxiv.org/abs/1610.08529

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