Abstract
We study the convex combinations of the -generalized Pauli dynamical maps in a Hilbert space of dimension . For certain choices of the decoherence function, the maps are noninvertible, and they remain under convex combinations as well. For the case of dynamical maps characterized by the decoherence function with the decoherence parameter and decay factor , we evaluate the fraction of invertible maps obtained upon mixing, which is found to increase superexponentially with dimension .
- Received 17 January 2022
- Revised 6 May 2022
- Accepted 11 July 2022
DOI:https://doi.org/10.1103/PhysRevA.106.012438
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