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arXiv · 0709.1061

Fermionic Quasi-free States and Maps in Information Theory

B. Dierckx·M. Fannes·M. Pogorzelska
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Abstract

This paper and the results therein are geared towards building a basic toolbox for calculations in quantum information theory of quasi-free fermionic systems. Various entropy and relative entropy measures are discussed and the calculation of these reduced to evaluating functions on the one-particle component of quasi-free states. The set of quasi-free affine maps on the state space is determined and fully characterized in terms of operations on one-particle subspaces. For a subclass of trace preserving completely positive maps and for their duals, Choi matrices and Jamiolkowski states are discussed.

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B. Dierckx, M. Fannes, M. Pogorzelska. 2007-09-07. Fermionic Quasi-free States and Maps in Information Theory. https://doi.org/10.1063/1.2841326

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