Physics – Quantum Physics
Scientific paper
2002-10-04
Phys. Rev. E 68, 046110 (2003)
Physics
Quantum Physics
12 pages, 1 figure included
Scientific paper
10.1103/PhysRevE.68.046110
Iterated functions system (IFS) is defined by specifying a set of functions in a classical phase space, which act randomly on an initial point. In an analogous way, we define a quantum iterated functions system (QIFS), where functions act randomly with prescribed probabilities in the Hilbert space. In a more general setting a QIFS consists of completely positive maps acting in the space of density operators. We present exemplary classical IFSs, the invariant measure of which exhibits fractal structure, and study properties of the corresponding QIFSs and their invariant states.
Lozinski Artur
Slomczynski Wojciech
Zyczkowski Karol
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