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math-phMar 26, 2013
58
citations (OpenAlex)
authors
  • P. Busch
  • S. P. Gudder
institutions
  • University of Denver
  • University of Hull
arXiv abstractPDF
paper

Effects as functions on projective Hilbert space

arXiv:1303.6589 · doi:10.1023/A:1007573216122

Abstract

The set of effect operators in a complex Hilbert space can be injectively embedded into the set of functions from the set of one-dimensional projections to the real interval [0,1]. Properties of this injection are investigated.

Cited by in corpus (13)

  • Order automorphisms of the set of bounded observables
  • Are Number and Phase Complementary Observables?
  • Characterizations of the automorphisms of Hilbert space effect algebras
  • The norm-1-property of a quantum observable
  • Complementary observables in quantum mechanics
  • Distance to boundary and minimum-error discrimination
  • On some automorphisms of the set of effects on Hilbert space
  • Coexistency on Hilbert space effect algebras and a characterisation of its symmetry transformations
  • On the linearity of order-isomorphisms
  • Preserving the measure of compatibility between quantum states
  • An extension of a characterization of the automorphisms of Hilbert space effect algebras
  • A class of preservers on Hilbert space effects including ortho-order automorphisms and sequential automorphisms
  • Characterizations of certain means of positive operators
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