Abstract
Abstract This chapter is devoted to the discussion of quantum maps. We present three equivalent definitions of a quantum map and important examples, including the depolarizing channel, amplitude damping, and dephasing. We briefly describe the inversion recovery and the Ramsey experiment, two experimental techniques designed to measure the relaxation and coherence time of a qubit. We present the Kraus representation of a quantum map, and we show that quantum maps arise when the dynamics of an additional system are averaged out, a result known as Stinespring’s dilation theorem. Lastly, we present the Choi-Jamiolkowki isomorphism
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