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quant-ph2018★ 2 cited
Factorizations of Quantum Channels
Jeremy Levick
We find a connection between the existence of a factorization of a quantum channel and the existence of low-rank solutions to certain linear matrix equations. Using this, we show t…
quant-ph2018
Matrix N-dilations of quantum channels
Jeremy Levick, Robert T. W. Martin
We study unital quantum channels which are obtained via partial trace of a -automorphism of a finite unital matrix -algebra. We prove that any such channel, , on a unital…