dorsal/arxiv
View SchemaSimulating the Effects of Quantum Error-correction Schemes
| Authors | Jumpei Niwa, Keiji Matsumoto, Hiroshi Imai |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0211071 |
| URL | https://arxiv.org/abs/quant-ph/0211071 |
Abstract
It is important to protect quantum information against decoherence and operational errors, and quantum error-correcting (QEC) codes are the keys to solving this problem. Of course, just the existence of codes is not efficient. It is necessary to perform operations fault-tolerantly on encoded states because error-correction process (i.e., encoding, decoding, syndrome measurement and recovery) itself induces an error. By using simulation, this paper investigates the effects of some important QEC codes (the five qubit code, the seven qubit code and the nine qubit code) and their fault-tolerant operations when the error-correction process itself induces an error. The corresponding results, statistics and analyses are presented in this paper.
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"abstract": "It is important to protect quantum information against decoherence and\noperational errors, and quantum error-correcting (QEC) codes are the keys to\nsolving this problem. Of course, just the existence of codes is not efficient.\nIt is necessary to perform operations fault-tolerantly on encoded states\nbecause error-correction process (i.e., encoding, decoding, syndrome\nmeasurement and recovery) itself induces an error. By using simulation, this\npaper investigates the effects of some important QEC codes (the five qubit\ncode, the seven qubit code and the nine qubit code) and their fault-tolerant\noperations when the error-correction process itself induces an error. The\ncorresponding results, statistics and analyses are presented in this paper.",
"arxiv_id": "quant-ph/0211071",
"authors": [
"Jumpei Niwa",
"Keiji Matsumoto",
"Hiroshi Imai"
],
"categories": [
"quant-ph"
],
"title": "Simulating the Effects of Quantum Error-correction Schemes",
"url": "https://arxiv.org/abs/quant-ph/0211071"
},
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