dorsal/arxiv
View SchemaContinuous variable encoding by ponderomotive interaction
| Authors | Stefano Pirandola, Stefano Mancini, David Vitali, Paolo Tombesi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0503003 |
| URL | https://arxiv.org/abs/quant-ph/0503003 |
| DOI | 10.1140/epjd/e2005-00306-3 |
| Journal | Eur. Phys. J. D 37, 283--290 (2006) |
Abstract
Recently it has been proposed to construct quantum error-correcting codes that embed a finite-dimensional Hilbert space in the infinite-dimensional Hilbert space of a system described by continuous quantum variables [D. Gottesman et al., Phys. Rev. A 64, 012310 (2001)]. The main difficulty of this continuous variable encoding relies on the physical generation of the quantum codewords. We show that ponderomotive interaction suffices to this end. As a matter of fact, this kind of interaction between a system and a meter causes a frequency change on the meter proportional to the position quadrature of the system. Then, a phase measurement of the meter leaves the system in an eigenstate of the stabilizer generators, provided that system and meter's initial states are suitably prepared. Here we show how to implement this interaction using trapped ions, and how the encoding can be performed on their motional degrees of freedom. The robustness of the codewords with respect to the various experimental imperfections is then analyzed.
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"abstract": "Recently it has been proposed to construct quantum error-correcting codes\nthat embed a finite-dimensional Hilbert space in the infinite-dimensional\nHilbert space of a system described by continuous quantum variables [D.\nGottesman et al., Phys. Rev. A 64, 012310 (2001)]. The main difficulty of this\ncontinuous variable encoding relies on the physical generation of the quantum\ncodewords. We show that ponderomotive interaction suffices to this end. As a\nmatter of fact, this kind of interaction between a system and a meter causes a\nfrequency change on the meter proportional to the position quadrature of the\nsystem. Then, a phase measurement of the meter leaves the system in an\neigenstate of the stabilizer generators, provided that system and meter\u0027s\ninitial states are suitably prepared. Here we show how to implement this\ninteraction using trapped ions, and how the encoding can be performed on their\nmotional degrees of freedom. The robustness of the codewords with respect to\nthe various experimental imperfections is then analyzed.",
"arxiv_id": "quant-ph/0503003",
"authors": [
"Stefano Pirandola",
"Stefano Mancini",
"David Vitali",
"Paolo Tombesi"
],
"categories": [
"quant-ph"
],
"doi": "10.1140/epjd/e2005-00306-3",
"journal_ref": "Eur. Phys. J. D 37, 283--290 (2006)",
"title": "Continuous variable encoding by ponderomotive interaction",
"url": "https://arxiv.org/abs/quant-ph/0503003"
},
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