PIRSA:07060014 Conference Quantum Information

DOI10.48660/07060014

Conference/School: The Fourth Annual Canadian Quantum Information Students' Conference - 2007

Sheridan, L. (2007). Degradation of a quantum directional reference frame. Perimeter Institute. https://pirsa.org/07060014

Sheridan, Lana. Degradation of a quantum directional reference frame. Perimeter Institute, Jun. 02, 2007, https://pirsa.org/07060014 

@misc{ pirsa_PIRSA:07060014,
  doi = {10.48660/07060014},
  url = {https://pirsa.org/07060014},
  author = {Sheridan, Lana},
  keywords = {Quantum Information},
  language = {en},
  title = {Degradation of a quantum directional reference frame},
  publisher = {Perimeter Institute},
  year = {2007},
  month = {jun},
  note = {PIRSA:07060014 see, \url{https://pirsa.org}}
}

Abstract

In this study, we are interested in the practical question of how many times a quantum directional reference frame (i.e., a spin-J system) can be used to perform a certain task with a given probability of success, under the assumption that the quantum directional reference frame evolves under a map that is covariant under rotations in SU(2). Our main theorem restricts the form of the state of the quantum reference frame as a function of how many times the covariant map was applied to it. Our results are a generalization of the paper of Bartlett el al. on the degradation of reference frames, and can be used to analyze certain types of interactions on a spin-J system.

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