Fermionic Quasi-free States and Maps in Information Theory

Details Fermionic Quasi-free States and Maps in Information Theory Fermionic Quasi-free States and Maps in Information Theory

2007-09-07

arxiv.org/abs/0709.1061v1

J. Math. Phys. 49, 032109 (2008)

Physics

Quantum Physics

19 pages

Scientific paper

10.1063/1.2841326

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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