PIRSA:08110050 Scientific Series Quantum Information

DOI10.48660/08110050

Series: Perimeter Institute Quantum Discussions

de Beaudrap, N. (2008). Measurement Pattern Interpolation: Theory, and potential applications. Perimeter Institute. https://pirsa.org/08110050

de Beaudrap, Niel. Measurement Pattern Interpolation: Theory, and potential applications. Perimeter Institute, Nov. 19, 2008, https://pirsa.org/08110050 

@misc{ pirsa_PIRSA:08110050,
  doi = {10.48660/08110050},
  url = {https://pirsa.org/08110050},
  author = {de Beaudrap, Niel},
  keywords = {Quantum Information},
  language = {en},
  title = {Measurement Pattern Interpolation: Theory, and potential applications},
  publisher = {Perimeter Institute},
  year = {2008},
  month = {nov},
  note = {PIRSA:08110050 see, \url{https://pirsa.org}}
}

Abstract

Quantum computation by single-qubit measurements was proposed by Raussendorf and Briegel [PRL 86, 5188] as a potential scheme for implementing quantum computers. It also offers an unusual means of describing unitary transformations. To better understand which measurement-based procedures perform unitary operations, we may consider the following problem: under what circumstances can a measurement-based procedure for a unitary U be found, provided a similar procedure for U which relies on post-selection? In this talk, I describe the so-called \'Measurement Pattern Interpolation\' problem, the intuition behind the solved special cases, and possible applications of a general solution to this problem.

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