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I am looking for examples of instances or families of quantum channels that arise out of an interaction of a quantum system with an environment having some temperature. For instance, the generalized amplitude damping channel (of Nielsen and Chuang, Sec. 8.3.5) can be modelled as a unitary interaction \begin{equation} \begin{pmatrix} 1&0&0&0\\ 0&\sqrt{1-\gamma}&\sqrt{\gamma}&0\\ 0&-\sqrt{\gamma}&\sqrt{1-\gamma}&0\\ 0&0&0&1 \end{pmatrix} \end{equation} between a system and an environment in a thermal state $(1-e^{-\beta})|0\rangle\langle 0| + e^{-\beta}(1-e^{-\beta})|1\rangle\langle 1|$, followed by discarding the environment.

I am especially interested in channels that experimentalists would use to model plausible temperature-dependent interactions in existing implementations of qubits.

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    $\begingroup$ Does this answer your question? $\endgroup$ Commented Jul 31 at 5:15
  • $\begingroup$ That's a great example of such channels! $\endgroup$
    – forky40
    Commented Jul 31 at 15:21

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