dorsal/arxiv
View SchemaQuantum information theory
| Authors | M. A. Nielsen |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0011036 |
| URL | https://arxiv.org/abs/quant-ph/0011036 |
| Journal | PhD Dissertation, The University of New Mexico (1998) |
Abstract
Quantum information theory is the study of the achievable limits of information processing within quantum mechanics. Many different types of information can be accommodated within quantum mechanics, including classical information, coherent quantum information, and entanglement. Exploring the rich variety of capabilities allowed by these types of information is the subject of quantum information theory, and of this Dissertation. In particular, I demonstrate several novel limits to the information processing ability of quantum mechanics. Results of especial interest include: the demonstration of limitations to the class of measurements which may be performed in quantum mechanics; a capacity theorem giving achievable limits to the transmission of classical information through a two-way noiseless quantum channel; resource bounds on distributed quantum computation; a new proof of the quantum noiseless channel coding theorem; an information-theoretic characterization of the conditions under which quantum error-correction may be achieved; an analysis of the thermodynamic limits to quantum error-correction, and new bounds on channel capacity for noisy quantum channels.
{
"annotation_id": "05b662ff-e282-4648-bc40-08043147b594",
"date_created": "2026-03-02T18:01:41.782000Z",
"date_modified": "2026-03-02T18:01:41.782000Z",
"file_hash": "72f87c4c7a2e52e473462970293132ffe36e14686baa24d68ffae812d27745ec",
"private": false,
"record": {
"abstract": "Quantum information theory is the study of the achievable limits of\ninformation processing within quantum mechanics. Many different types of\ninformation can be accommodated within quantum mechanics, including classical\ninformation, coherent quantum information, and entanglement. Exploring the rich\nvariety of capabilities allowed by these types of information is the subject of\nquantum information theory, and of this Dissertation. In particular, I\ndemonstrate several novel limits to the information processing ability of\nquantum mechanics. Results of especial interest include: the demonstration of\nlimitations to the class of measurements which may be performed in quantum\nmechanics; a capacity theorem giving achievable limits to the transmission of\nclassical information through a two-way noiseless quantum channel; resource\nbounds on distributed quantum computation; a new proof of the quantum noiseless\nchannel coding theorem; an information-theoretic characterization of the\nconditions under which quantum error-correction may be achieved; an analysis of\nthe thermodynamic limits to quantum error-correction, and new bounds on channel\ncapacity for noisy quantum channels.",
"arxiv_id": "quant-ph/0011036",
"authors": [
"M. A. Nielsen"
],
"categories": [
"quant-ph"
],
"journal_ref": "PhD Dissertation, The University of New Mexico (1998)",
"title": "Quantum information theory",
"url": "https://arxiv.org/abs/quant-ph/0011036"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "9f0dc0c9-ea1d-40a8-9270-ff739da4fc54",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}