dorsal/arxiv
View SchemaQuantum Markov Channels for Qubits
| Authors | Sonja Daffer, Krzysztof Wodkiewicz, John K. McIver |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0211001 |
| URL | https://arxiv.org/abs/quant-ph/0211001 |
| DOI | 10.1103/PhysRevA.67.062312 |
| Journal | PRA 67, 062312 (2003) |
Abstract
We examine stochastic maps in the context of quantum optics. Making use of the master equation, the damping basis, and the Bloch picture we calculate a non-unital, completely positive, trace-preserving map with unequal damping eigenvalues. This results in what we call the squeezed vacuum channel. A geometrical picture of the effect of stochastic noise on the set of pure state qubit density operators is provided. Finally, we study the capacity of the squeezed vacuum channel to transmit quantum information and to distribute EPR states.
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"abstract": "We examine stochastic maps in the context of quantum optics. Making use of\nthe master equation, the damping basis, and the Bloch picture we calculate a\nnon-unital, completely positive, trace-preserving map with unequal damping\neigenvalues. This results in what we call the squeezed vacuum channel. A\ngeometrical picture of the effect of stochastic noise on the set of pure state\nqubit density operators is provided. Finally, we study the capacity of the\nsqueezed vacuum channel to transmit quantum information and to distribute EPR\nstates.",
"arxiv_id": "quant-ph/0211001",
"authors": [
"Sonja Daffer",
"Krzysztof Wodkiewicz",
"John K. McIver"
],
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"quant-ph"
],
"doi": "10.1103/PhysRevA.67.062312",
"journal_ref": "PRA 67, 062312 (2003)",
"title": "Quantum Markov Channels for Qubits",
"url": "https://arxiv.org/abs/quant-ph/0211001"
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