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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. A symmetric, informationally complete, positive operator valued measure is a special case of a generalized measurement on a Hilbert space, used in the field of quantum mechanics. A measurement of the prescribed form satisfies certain defining qualities that makes it an interesting candidate for a "standard quantum measurement," utilized in the study of foundational quantum mechanics. Furthermore, it has been shown that applications exist in quantum state tomography and quantum cryptography.Due to the use of SIC-POVMs primarily in quantum mechanics, Dirac notation will be used for the remainder of this article.Furthermore, SIC-POVMs add to the theory of general POVMs by demanding additional structure on the projector states. Indeed, for to be informationally complete it must consist of linearly independent projector operators so as to form a basis for the Hilbert-Schmidt space . This ensures that any mixed state can be uniquely represented in terms of the POVM elements by utilizing the Hilbert-Schmidt inner product to calculate the statistical coefficients of the pure state more

Product details

  • Paperback | 84 pages
  • 152 x 229 x 5mm | 136g
  • String Publishing
  • United States
  • English
  • black & white illustrations
  • 6135651897
  • 9786135651898