Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Simulating a single qubit channel using a mixed state environment   We analyze the class of single qubit channels with the environment modeled by
a one-qubit mixed state. The set of affine transformations for this class of
channels is computed analytically, employing the canonical form for the
two-qubit unitary operator. We demonstrate that, 3/8 of the generalized
depolarizing channels can be simulated by the one-qubit mixed state environment
by explicitly obtaining the shape of the volume occupied by this class of
channels within the tetrahedron representing the generalized depolarizing
channels. Further, as a special case, we show that the two-Pauli Channel cannot
be simulated by a one-qubit mixed state environment.

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The categories of this paper are: adap-org
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg
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The categories of this paper are: nlin
2
The categories of this paper are: math
4
The categories of this paper are: cond-mat
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The categories of this paper are: econ
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The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: cs
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The categories of this paper are: comp-gas
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The categories of this paper are: physics
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The categories of this paper are: alg-geom