dorsal/arxiv
View SchemaSimulating a single qubit channel using a mixed state environment
| Authors | Geetu Narang, Arvind |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0611058 |
| URL | https://arxiv.org/abs/quant-ph/0611058 |
| DOI | 10.1103/PhysRevA.75.032305 |
| Journal | Phys. Rev. A 75, 032305 (2007) |
Abstract
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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"abstract": "We analyze the class of single qubit channels with the environment modeled by\na one-qubit mixed state. The set of affine transformations for this class of\nchannels is computed analytically, employing the canonical form for the\ntwo-qubit unitary operator. We demonstrate that, 3/8 of the generalized\ndepolarizing channels can be simulated by the one-qubit mixed state environment\nby explicitly obtaining the shape of the volume occupied by this class of\nchannels within the tetrahedron representing the generalized depolarizing\nchannels. Further, as a special case, we show that the two-Pauli Channel cannot\nbe simulated by a one-qubit mixed state environment.",
"arxiv_id": "quant-ph/0611058",
"authors": [
"Geetu Narang",
"Arvind"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.75.032305",
"journal_ref": "Phys. Rev. A 75, 032305 (2007)",
"title": "Simulating a single qubit channel using a mixed state environment",
"url": "https://arxiv.org/abs/quant-ph/0611058"
},
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