Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1865829 | Physics Letters A | 2009 | 5 Pages |
Abstract
We define a natural ensemble of trace preserving, completely positive quantum maps and present algorithms to generate them at random. Spectral properties of the superoperator Φ associated with a given quantum map are investigated and a quantum analogue of the Frobenius–Perron theorem is proved. We derive a general formula for the density of eigenvalues of Φ and show the connection with the Ginibre ensemble of real non-symmetric random matrices. Numerical investigations of the spectral gap imply that a generic state of the system iterated several times by a fixed generic map converges exponentially to an invariant state.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Physics and Astronomy (General)
Authors
Wojciech Bruzda, Valerio Cappellini, Hans-Jürgen Sommers, Karol Życzkowski,