期刊
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
卷 47, 期 13, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/47/13/135302
关键词
quantum channel; qubit channel; universal set of channels
资金
- ANR project HAM-MARK [ANR-09-BLAN0098-01]
- ANR projects [OSQPI 2011 BS01 008 01]
- RMTQIT [ANR-12-IS01-0001-01]
- PEPS-ICQ CNRS project Cogit
We investigate the set of quantum channels acting on a single qubit. We provide an alternative, 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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