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SU(2)-Irreducibly covariant and EPOSIC channels

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arxiv 1306.5321 v1 pith:WZ7K6B5N submitted 2013-06-22 math-ph math.MP

classification math-phmath.MP
keywords channelscovariantcomputeeposicirreduciblypositiveapplicationchannel
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Robustness of Noether's principle: Maximal disconnects between conservation laws and symmetries in quantum theory

    quant-ph 2019-08 conditional novelty 7.0 of 10

    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 ch...

  2. Classical capacity of the generalized Pauli channels

    quant-ph 2019-08 conditional novelty 5.0 of 10

    The paper derives lower and upper Holevo capacity bounds for generalized Pauli channels and obtains exact classical capacities for Pauli channels and symmetric two-parameter channels.

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