dorsal/arxiv
View SchemaOn quantum advantage in dense coding
| Authors | M. Horodecki, M. Piani |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0701134 |
| URL | https://arxiv.org/abs/quant-ph/0701134 |
| DOI | 10.1088/1751-8113/45/10/105306 |
| Journal | J. Phys. A: Math. Theor. 45 (2012) 105306 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
The quantum advantage of dense coding is studied, considering general encoding quantum operations. Particular attention is devoted to the case of many senders, and it is shown that restrictions on the possible operations on the senders' side may make some quantum state useless for dense-coding. It is shown, e.g., that some states are useful for dense coding if the senders can communicate classically (but not quantumly), yet they cannot be used for dense coding, if classical communication is not allowed. These no-go results are actually independent of the particular quantification of the quantum advantage, being valid for any reasonable choice. It is further shown that the quantum advantage of dense coding satisfies a monogamy relation with the so-called entanglement of purification.
{
"annotation_id": "31643b34-adba-4d9d-80f4-a2714a40d381",
"date_created": "2026-03-02T18:02:34.529000Z",
"date_modified": "2026-03-02T18:02:34.529000Z",
"file_hash": "2d4516c643409d856773854b05a653013f05ee67e647ac5b38b89b8ba41407e9",
"private": false,
"record": {
"abstract": "The quantum advantage of dense coding is studied, considering general\nencoding quantum operations. Particular attention is devoted to the case of\nmany senders, and it is shown that restrictions on the possible operations on\nthe senders\u0027 side may make some quantum state useless for dense-coding. It is\nshown, e.g., that some states are useful for dense coding if the senders can\ncommunicate classically (but not quantumly), yet they cannot be used for dense\ncoding, if classical communication is not allowed. These no-go results are\nactually independent of the particular quantification of the quantum advantage,\nbeing valid for any reasonable choice. It is further shown that the quantum\nadvantage of dense coding satisfies a monogamy relation with the so-called\nentanglement of purification.",
"arxiv_id": "quant-ph/0701134",
"authors": [
"M. Horodecki",
"M. Piani"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/1751-8113/45/10/105306",
"journal_ref": "J. Phys. A: Math. Theor. 45 (2012) 105306",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "On quantum advantage in dense coding",
"url": "https://arxiv.org/abs/quant-ph/0701134"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "33184e68-8f09-43ce-b4a8-97c633706595",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}