dorsal/arxiv
View SchemaNon stabilizer Clifford codes with qupits
| Authors | Hagiwara Manabu, Hideki Imai |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0402060 |
| URL | https://arxiv.org/abs/quant-ph/0402060 |
Abstract
Clifford codes can be understood as a generalization of stabilizer codes. To show the existence of a true Clifford code which is better than any stabilizer code is a well known open problem in the theory of Clifford codes. One of the main difficulties in solving this problem is that we know only about 110 examples of codes which are Clifford but not stabilizer codes. In this paper, we obtain infinite examples of Clifford codes which are not stabilizer codes. We expect our examples to be useful in the study of Clifford codes.
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"abstract": "Clifford codes can be understood as a generalization of stabilizer codes. To\nshow the existence of a true Clifford code which is better than any stabilizer\ncode is a well known open problem in the theory of Clifford codes. One of the\nmain difficulties in solving this problem is that we know only about 110\nexamples of codes which are Clifford but not stabilizer codes. In this paper,\nwe obtain infinite examples of Clifford codes which are not stabilizer codes.\nWe expect our examples to be useful in the study of Clifford codes.",
"arxiv_id": "quant-ph/0402060",
"authors": [
"Hagiwara Manabu",
"Hideki Imai"
],
"categories": [
"quant-ph"
],
"title": "Non stabilizer Clifford codes with qupits",
"url": "https://arxiv.org/abs/quant-ph/0402060"
},
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