dorsal/arxiv
View SchemaSubsystem Codes
| Authors | Salah A. Aly, Andreas Klappenecker, Pradeep Kiran Sarvepalli |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0610153 |
| URL | https://arxiv.org/abs/quant-ph/0610153 |
Abstract
We investigate various aspects of operator quantum error-correcting codes or, as we prefer to call them, subsystem codes. We give various methods to derive subsystem codes from classical codes. We give a proof for the existence of subsystem codes using a counting argument similar to the quantum Gilbert-Varshamov bound. We derive linear programming bounds and other upper bounds. We answer the question whether or not there exist [[n,n-2d+2,r>0,d]]<sub>q</sub> subsystem codes. Finally, we compare stabilizer and subsystem codes with respect to the required number of syndrome qudits.
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"abstract": "We investigate various aspects of operator quantum error-correcting codes or,\nas we prefer to call them, subsystem codes. We give various methods to derive\nsubsystem codes from classical codes. We give a proof for the existence of\nsubsystem codes using a counting argument similar to the quantum\nGilbert-Varshamov bound. We derive linear programming bounds and other upper\nbounds. We answer the question whether or not there exist\n[[n,n-2d+2,r\u003e0,d]]\u003csub\u003eq\u003c/sub\u003e subsystem codes. Finally, we compare stabilizer\nand subsystem codes with respect to the required number of syndrome qudits.",
"arxiv_id": "quant-ph/0610153",
"authors": [
"Salah A. Aly",
"Andreas Klappenecker",
"Pradeep Kiran Sarvepalli"
],
"categories": [
"quant-ph",
"cs.IT",
"math.IT"
],
"title": "Subsystem Codes",
"url": "https://arxiv.org/abs/quant-ph/0610153"
},
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"source": {
"execution_id": "e95b2ed1-e8a6-4cdd-9c4b-c3600a75f344",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
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