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I need some resources to understand non-unitary channels and operators in depth in order to simulate non-unitary channels instead of unitary ones in some problems. I would appreciate any guidance or suggestions.

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  • $\begingroup$ Are you looking for something more specific, or are you looking for general resources? $\endgroup$
    – FDGod
    Commented Apr 5 at 20:19
  • $\begingroup$ @FDGod I have a task to simulate a research paper that has been conducted using unitary channels but instead of unitary, I have to use non-unitary channels. also what simulation tools or quantum programming languages can be more useful to me? $\endgroup$
    – Titan78
    Commented Apr 5 at 20:32
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    $\begingroup$ Can you link the paper? As to simulating non-unitary behaviour, I would recommend using the Python package QiTiP $\endgroup$
    – FDGod
    Commented Apr 5 at 20:57

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In case you are interested in simulating non-unitaries with the standard circuit model, you can use Stinespring dilation.

In brief, you employ auxiliary qubits entangled with a system of interest, generating so a (simulated) lack of information -- a.k.a. a non-unitary --, by ignoring (tracing out) the auxiliary system.

For a practical example, you may find helpful my paper - Section III.A, where I used Stinespring dilation to simulate Pauli noises.

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    $\begingroup$ Watrous, the author of The Theory of Quantum Information, also has an upcoming series General formulation of quantum information which is set to be a bit more beginner-friendly than his textbook. $\endgroup$ Commented Apr 6 at 20:06

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