dorsal/arxiv
View SchemaStabilizer Codes for Continuous-variable Quantum Error Correction
| Authors | Richard L. Barnes |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0405064 |
| URL | https://arxiv.org/abs/quant-ph/0405064 |
Abstract
A generalization of the stabilizer code construction presented by Gottesman is described, which allows for the construction of quantum error-correcting codes for continuous-variable systems. This formalism describes all continuous-variable codes presented to date, and can be used to construct new codes based on discrete-variable codes or classical codes. We use it to describe the nine-mode code given by Lloyd and Slotine, and a five-mode code described by Braunstein. In addition, we construct a new continuous-variable code based an code of Gottesman which encodes three logical modes of information into eight physical modes and corrects one error. This generalization is a step toward an independent understanding of continuous-variable quantum information and a theory of fault-tolerant quantum information processing.
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"abstract": "A generalization of the stabilizer code construction presented by Gottesman\nis described, which allows for the construction of quantum error-correcting\ncodes for continuous-variable systems. This formalism describes all\ncontinuous-variable codes presented to date, and can be used to construct new\ncodes based on discrete-variable codes or classical codes. We use it to\ndescribe the nine-mode code given by Lloyd and Slotine, and a five-mode code\ndescribed by Braunstein. In addition, we construct a new continuous-variable\ncode based an code of Gottesman which encodes three logical modes of\ninformation into eight physical modes and corrects one error. This\ngeneralization is a step toward an independent understanding of\ncontinuous-variable quantum information and a theory of fault-tolerant quantum\ninformation processing.",
"arxiv_id": "quant-ph/0405064",
"authors": [
"Richard L. Barnes"
],
"categories": [
"quant-ph"
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"title": "Stabilizer Codes for Continuous-variable Quantum Error Correction",
"url": "https://arxiv.org/abs/quant-ph/0405064"
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