For rotationally symmetric quantum channels, spin polarization can be inverted by at most a factor of -j/(j+1) and amplified into a larger spin by at most (j_B+1)/(j_A+1), with conservation-law deviation bounded by channel unitarity.
SU(2)-Irreducibly covariant and EPOSIC channels
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abstract
In this paper we introduce EPOSIC channels, a class of SU(2)-covariant quantum channels. We give their definition, a Kraus representation of them, and compute their Choi matrices. We show that these channels form the set of extreme points of all SU(2)-irreducibly covariant channels. We also compute their complementary channels, and their dual maps. As application of these channel, we get a new example of positive map that is not completely positive.
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quant-ph 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
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Robustness of Noether's principle: Maximal disconnects between conservation laws and symmetries in quantum theory
For rotationally symmetric quantum channels, spin polarization can be inverted by at most a factor of -j/(j+1) and amplified into a larger spin by at most (j_B+1)/(j_A+1), with conservation-law deviation bounded by channel unitarity.