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Experimental characterization of qutrits using symmetric, informationally complete positive operator-valued measures

  • Z. E.D. Medendorp
  • , F. A. Torres-Ruiz
  • , L. K. Shalm
  • , G. N.M. Tabia
  • , C. A. Fuchs
  • , A. M. Steinberg
  • University of Toronto
  • Universidad de Concepción
  • Universidad de la Frontera
  • Perimeter Institute for Theoretical Physics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

Generalized quantum measurements (also known as positive operator-valued measures or POVMs) are of great importance in quantum information and quantum foundations, but often difficult to perform. We present an experimental approach which can in principle be used to perform arbitrary POVMs in a linear-optical context. One of the most interesting POVMs, the symmetric, informationally complete-POVM (or SIC-POVM), is the most compact set of measurements that can be used to fully describe a quantum state. We use our technique to carry out the first experimental characterization of the state of a qutrit using SIC-POVMs. Because of the highly symmetric nature of this measurement, such a representation has the unique property that it permits all other measurement outcomes to be predicted by a simple extension of the classical Bayesian sum rule, making no use of complex amplitudes or Hilbert-space operators. We demonstrate this approach on several qutrit states encoded in single photons.

Original languageEnglish
Title of host publicationInternational Conference on Applications of Optics and Photonics
DOIs
StatePublished - 2011
EventInternational Conference on Applications of Optics and Photonics - Braga, Portugal
Duration: May 3 2011 → May 7 2011

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume8001
ISSN (Print)0277-786X

Conference

ConferenceInternational Conference on Applications of Optics and Photonics
Country/TerritoryPortugal
CityBraga
Period5/3/11 → 5/7/11

ASJC Scopus Subject Areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

Keywords

  • quantum state measurements
  • Qutrits characterization
  • SIC-POVM

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