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|
Simultaneous Measurement of Non-commuting Observables and Quantum
Fractals on Complex Projective Spaces
Arkadiusz Jadczyk
abstract: Simultaneous measurement of several noncommuting observables is modeled by
using semigroups of completely positive maps on an algebra with a non-trivial
center. The resulting piecewise-deterministic dynamics leads to chaos and to
nonlinear iterated function systems (quantum fractals) on complex projective
spaces.
- oai_identifier:
- oai:arXiv.org:quant-ph/0311081
- categories:
- quant-ph
- comments:
- Fixed references and typos. Added missing definition of the rate
function and a note on KMS state
- arxiv_id:
- quant-ph/0311081
- journal_ref:
- Chinese Journal of Physics, 43, No. 2, (April 2005), 301-328
- created:
- 2003-11-12
- updated:
- 2005-01-30
Full article ▸
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