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Complete positivity for time-dependent qubit master equations

Hall, Michael


It is shown that if the decoherence matrix corresponding to a qubit master equation has a block-diagonal real part, then the evolution is determined by a one-dimensional oscillator equation. Further, when the full decoherence matrix is block-diagonal, then the necessary and sufficient conditions for completely positive evolution may be formulated in terms of the oscillator Hamiltonian or Lagrangian. When the solution of the oscillator equation is not known, an explicit sufficient condition for...[Show more]

CollectionsANU Research Publications
Date published: 2008
Type: Journal article
Source: Journal of Physics A: Mathematical and General
DOI: 10.1088/1751-8113/41/20/205302


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