A universal set of qubit quantum channels - Archive ouverte HAL
Article Dans Une Revue Journal of Physics A: Mathematical and Theoretical Année : 2014

A universal set of qubit quantum channels

Résumé

We investigate the set of quantum channels acting on a single qubit. We provide a compact generalization of the Fujiwara-Algoet conditions for complete positivity to non-unital qubit channels, which we then use to characterize the possible geometric forms of the pure output of the channel. We provide universal sets of quantum channels for all unital qubit channels as well as for all extremal (not necessarily unital) qubit channels, in the sense that all qubit channels in these sets can be obtained by concatenation of channels in the corresponding universal set. We also show that our universal sets are essentially minimal.
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hal-00854358 , version 1 (18-12-2024)

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Daniel Braun, Olivier Giraud, Ion Nechita, Clément Pellegrini, Marko Znidaric. A universal set of qubit quantum channels. Journal of Physics A: Mathematical and Theoretical, 2014, 47 (13), pp.135302. ⟨10.1088/1751-8113/47/13/135302⟩. ⟨hal-00854358⟩
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