dorsal/arxiv
View SchemaSuperbroadcasting and classical information
| Authors | G. Chiribella, G. M. D'Ariano, C. Macchiavello, P. Perinotti, F. Buscemi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0608153 |
| URL | https://arxiv.org/abs/quant-ph/0608153 |
| DOI | 10.1103/PhysRevA.75.012315 |
| Journal | Phys. Rev. A 75, 012315 (2007) |
Abstract
We address the problem of broadcasting N copies of a generic qubit state to M>N copies by estimating its direction and preparing a suitable output state according to the outcome of the estimate. This semiclassical broadcasting protocol is more restrictive than a general one, since it requires an intermediate step where classical information is extracted and processed. However, we prove that a suboptimal superbroadcasting, namely broadcasting with simultaneous purification of the local output states with respect to the input ones, is possible. We show that in the asymptotic limit of $M \to \infty$ the purification rate converges to the optimal one, proving the conjecture that optimal broadcasting and state estimation are asymptotically equivalent. We also show that it is possible to achieve superbroadcasting with simultaneous inversion of the Bloch vector direction (universal NOT). We prove that in this case the semiclassical procedure of state estimation and preparation turns out to be optimal. We finally analyse semiclassical superbroadcasting in the phase-covariant case.
{
"annotation_id": "05d06f75-1f36-4a37-b267-3c71af70f1d7",
"date_created": "2026-03-02T18:02:30.616000Z",
"date_modified": "2026-03-02T18:02:30.616000Z",
"file_hash": "6a6847f3807f8604f2266603264bd1a912b2080a95aed7083ed4c9d16bcc9a82",
"private": false,
"record": {
"abstract": "We address the problem of broadcasting N copies of a generic qubit state to\nM\u003eN copies by estimating its direction and preparing a suitable output state\naccording to the outcome of the estimate. This semiclassical broadcasting\nprotocol is more restrictive than a general one, since it requires an\nintermediate step where classical information is extracted and processed.\nHowever, we prove that a suboptimal superbroadcasting, namely broadcasting with\nsimultaneous purification of the local output states with respect to the input\nones, is possible. We show that in the asymptotic limit of $M \\to \\infty$ the\npurification rate converges to the optimal one, proving the conjecture that\noptimal broadcasting and state estimation are asymptotically equivalent. We\nalso show that it is possible to achieve superbroadcasting with simultaneous\ninversion of the Bloch vector direction (universal NOT). We prove that in this\ncase the semiclassical procedure of state estimation and preparation turns out\nto be optimal. We finally analyse semiclassical superbroadcasting in the\nphase-covariant case.",
"arxiv_id": "quant-ph/0608153",
"authors": [
"G. Chiribella",
"G. M. D\u0027Ariano",
"C. Macchiavello",
"P. Perinotti",
"F. Buscemi"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.75.012315",
"journal_ref": "Phys. Rev. A 75, 012315 (2007)",
"title": "Superbroadcasting and classical information",
"url": "https://arxiv.org/abs/quant-ph/0608153"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "3e8fd3a5-6b5e-439f-9529-ec0399d89a4e",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}