• Corpus ID: 231749999

Ergodicity of Kusuoka measures on quantum trajectories

  title={Ergodicity of Kusuoka measures on quantum trajectories},
  author={Anna Szczepanek},
In 1989 Kusuoka started the study of probabilitymeasures on the shift space that are defined with the help of products of matrices. In particular, he derived a sufficient condition for the ergodicity of such measures, which have since been referred to as Kusuoka measures. We observe that repeated measurements of a unitarily evolving quantum system generate a Kusuokameasure on the space of sequences ofmeasurement outcomes. We show that if the measurement consists of scaled projections, then… 

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