dorsal/arxiv
View SchemaGeneral criterion for oblivious remote state preparation
| Authors | Z. Kurucz, P. Adam, J. Janszky |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0605057 |
| URL | https://arxiv.org/abs/quant-ph/0605057 |
| DOI | 10.1103/PhysRevA.73.062301 |
| Journal | Phys. Rev. A 73, 062301 (2006) |
Abstract
A necessary and sufficient condition is given for general exact remote state preparation (RSP) protocols to be oblivious, that is, no information about the target state can be retrieved from the classical message. A novel criterion in terms of commutation relations is also derived for the existence of deterministic exact protocols in which Alice's measurement eigenstates are related to each other by fixed linear operators similar to Bob's unitaries. For non-maximally entangled resources, it provides an easy way to search for RSP protocols. As an example, we show how to reduce the case of partially entangled resources to that of maximally entangled ones, and we construct RSP protocols exploiting the structure of the irreducible representations of Abelian groups.
{
"annotation_id": "fafa6629-e91f-414c-a090-5f87c383ce6a",
"date_created": "2026-03-02T18:02:27.678000Z",
"date_modified": "2026-03-02T18:02:27.678000Z",
"file_hash": "45e0ebcd84c7ff3b68cbce9ba9b99221bd5c335acb28e19bcbcf7bc26bf728f6",
"private": false,
"record": {
"abstract": "A necessary and sufficient condition is given for general exact remote state\npreparation (RSP) protocols to be oblivious, that is, no information about the\ntarget state can be retrieved from the classical message. A novel criterion in\nterms of commutation relations is also derived for the existence of\ndeterministic exact protocols in which Alice\u0027s measurement eigenstates are\nrelated to each other by fixed linear operators similar to Bob\u0027s unitaries. For\nnon-maximally entangled resources, it provides an easy way to search for RSP\nprotocols. As an example, we show how to reduce the case of partially entangled\nresources to that of maximally entangled ones, and we construct RSP protocols\nexploiting the structure of the irreducible representations of Abelian groups.",
"arxiv_id": "quant-ph/0605057",
"authors": [
"Z. Kurucz",
"P. Adam",
"J. Janszky"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.73.062301",
"journal_ref": "Phys. Rev. A 73, 062301 (2006)",
"title": "General criterion for oblivious remote state preparation",
"url": "https://arxiv.org/abs/quant-ph/0605057"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "7eb9467d-4349-4125-aad6-165eaa0c8427",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}