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Nilpotent completely positive maps

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Abstract

We study the structure of nilpotent completely positive maps in terms of Choi-Kraus coefficients. We prove several inequalities, including certain majorization type inequalities for dimensions of kernels of powers of nilpotent completely positive maps.

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Acknowledgments

The second author thanks the National Board for Higher Mathematics (NBHM), India for financial support.

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  1. Statistics and Mathematics Unit, Indian Statistical Institute, R V College Post, Bangalore, 560059, India

    B. V. Rajarama Bhat & Nirupama Mallick

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  1. B. V. Rajarama Bhat
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  2. Nirupama Mallick
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Correspondence to B. V. Rajarama Bhat.

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Bhat, B.V.R., Mallick, N. Nilpotent completely positive maps. Positivity 18, 567–577 (2014). https://doi.org/10.1007/s11117-013-0262-4

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