On Bures Distance and ∗-Algebraic Transition Probability between Inner Derived Positive Linear Forms over W ∗-Algebras

@inproceedings{ALBERTI2000OnBD,
  title={On Bures Distance and ∗-Algebraic Transition Probability between Inner Derived Positive Linear Forms over W ∗-Algebras},
  author={PETER M. ALBERTI and Armin Uhlmann},
  year={2000}
}
(Received: 25 May 1999; in final form: 4 November 1999) Abstract. On aW∗-algebraM, for given two positive linear forms ν, % ∈ M∗ + and algebra elements a, b ∈ M, a variational expression for the Bures distance dB(ν, %b) between the inner derived positive linear formsνa = ν(a∗ · a) and%b = %(b∗ · b) is obtained. Along with the proof of the formula, also an earlier result of S. Gudder on noncommutative probability will be slighly extended. Also, the given expression of the Bures distance relates… CONTINUE READING
Highly Cited
This paper has 19 citations. REVIEW CITATIONS