Random Quantum Operations

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dc.creatorBruzda, Wojciech
dc.creatorCappellini, Valerio
dc.creatorSommers, Hans-Jürgen
dc.creatorŻyczkowski, Karol
dc.date2008-04-15
dc.date2008-10-15
dc.date.accessioned2026-07-07T12:45:18Z
dc.date.available2026-07-07T12:45:18Z
dc.descriptionWe define a natural ensemble of trace preserving, completely positive quantum maps and present algorithms to generate them at random. Spectral properties of the superoperator Phi 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 Phi 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.
dc.identifierhttps://arxiv.org/abs/0804.2361
dc.identifierhttp://arxiv.org/abs/0804.2361
dc.identifierPhys. Lett. A 373, 320-324 (2009).
dc.identifierdoi:10.1016/j.physleta.2008.11.043
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221047
dc.subjectExactly Solvable and Integrable Systems
dc.subjectQuantum Physics
dc.titleRandom Quantum Operations
dc.typetext

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