PIRSA:06020011 Scientific Series Quantum Information

DOI10.48660/06020011

Series: Colloquium

Bub, J. (2006). Quantum computation: where does the speedup come from?. Perimeter Institute. https://pirsa.org/06020011

Bub, Jeffrey. Quantum computation: where does the speedup come from?. Perimeter Institute, Feb. 08, 2006, https://pirsa.org/06020011 

@misc{ pirsa_PIRSA:06020011,
  doi = {10.48660/06020011},
  url = {https://pirsa.org/06020011},
  author = {Bub, Jeffrey},
  keywords = {Quantum Information, Quantum Foundations},
  language = {en},
  title = {Quantum computation: where does the speedup come from?},
  publisher = {Perimeter Institute},
  year = {2006},
  month = {feb},
  note = {PIRSA:06020011 see, \url{https://pirsa.org}}
}

Abstract

I look at the information-processing involved in a quantum computation, in terms of the difference between the Boolean logic underlying a classical computation and the non-Boolean logic represented by the projective geometry of Hilbert space, in which the subspace structure of Hilbert space replaces the set-theoretic structure of classical logic. I show that the original Deutsch XOR algorithm, Simon's algorithm, and Shor's algorithm all involve a similar geometric formulation. In terms of this picture, I consider the question of where the speedup relative to classical algorithms comes from.

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