dorsal/arxiv
View SchemaLambda's, V's and optimal cloning with stimulated emission
| Authors | Julia Kempe, Christoph Simon, Gregor Weihs |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0003025 |
| URL | https://arxiv.org/abs/quant-ph/0003025 |
| DOI | 10.1103/PhysRevA.62.032302 |
| Journal | Phys. Rev. A 62, 032302 (2000) |
Abstract
We show that optimal universal cloning of the polarization state of photons can be achieved via stimulated emission in three-level systems, both of the Lambda and the V type. We establish the equivalence of our systems with coupled harmonic oscillators, which permits us to analyze the structure of the cloning transformations realized. These transformations are shown to be equivalent to the optimal cloning transformations for qubits discovered by Buzek and Hillery, and Gisin and Massar. The down-conversion cloner discovered previously by some of the authors is obtained as a limiting case. We demonstrate an interesting equivalence between systems of Lambda atoms and systems of pairwise entangled V atoms. Finally we discuss the physical differences between our photon cloners and the qubit cloners considered previously and prove that the bounds on the fidelity of the clones derived for qubits also apply in our situation.
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"abstract": "We show that optimal universal cloning of the polarization state of photons\ncan be achieved via stimulated emission in three-level systems, both of the\nLambda and the V type. We establish the equivalence of our systems with coupled\nharmonic oscillators, which permits us to analyze the structure of the cloning\ntransformations realized. These transformations are shown to be equivalent to\nthe optimal cloning transformations for qubits discovered by Buzek and Hillery,\nand Gisin and Massar. The down-conversion cloner discovered previously by some\nof the authors is obtained as a limiting case. We demonstrate an interesting\nequivalence between systems of Lambda atoms and systems of pairwise entangled V\natoms. Finally we discuss the physical differences between our photon cloners\nand the qubit cloners considered previously and prove that the bounds on the\nfidelity of the clones derived for qubits also apply in our situation.",
"arxiv_id": "quant-ph/0003025",
"authors": [
"Julia Kempe",
"Christoph Simon",
"Gregor Weihs"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.62.032302",
"journal_ref": "Phys. Rev. A 62, 032302 (2000)",
"title": "Lambda\u0027s, V\u0027s and optimal cloning with stimulated emission",
"url": "https://arxiv.org/abs/quant-ph/0003025"
},
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