Tests For Complete Positivity of Quantum Channels
arXiv:1302.2060 · doi:10.2200/S00583ED1V01Y201406QMC007
Abstract
A quantum channel will have a Choi representation from which the complete positivity (CP) can be determined in a number of different ways. Every method relies on Choi's proof which relates CP to the positive semi-definiteness of a specially constructed matrix (i.e. the "Choi representation of the channel"). It can be shown that different CP tests can be used in different situations to avoid the computationally expensive brute force method of calculating the full spectrum of the Choi representation, which is the traditional method for testing whether or not a channel is CP. It is important to have quick, reliable analytical and computational tests for CP as negative channels become more prevalent in the study of quantum information.
This article has been withdrawn by the authoor due to the content being incorporated in a much more succinct manner elsewhere
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