dorsal/arxiv
View SchemaInitializing the Amplitude Distribution of a Quantum State
| Authors | Dan Ventura, Tony Martinez |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9807054 |
| URL | https://arxiv.org/abs/quant-ph/9807054 |
| Journal | Found.Phys.Lett. 12 (1999) 547-559 |
Abstract
To date, quantum computational algorithms have operated on a superposition of all basis states of a quantum system. Typically, this is because it is assumed that some function f is known and implementable as a unitary evolution. However, what if only some points of the function f are known? It then becomes important to be able to encode only the knowledge that we have about f. This paper presents an algorithm that requires a polynomial number of elementary operations for initializing a quantum system to represent only the m known points of a function f.
{
"annotation_id": "fe13854f-5a14-49a6-b6b6-f53155b785c8",
"date_created": "2026-03-02T18:02:44.590000Z",
"date_modified": "2026-03-02T18:02:44.590000Z",
"file_hash": "a569b206d93c86c0a6e51d99b49311e815da45fa39022ab867f7755797def527",
"private": false,
"record": {
"abstract": "To date, quantum computational algorithms have operated on a superposition of\nall basis states of a quantum system. Typically, this is because it is assumed\nthat some function f is known and implementable as a unitary evolution.\nHowever, what if only some points of the function f are known? It then becomes\nimportant to be able to encode only the knowledge that we have about f. This\npaper presents an algorithm that requires a polynomial number of elementary\noperations for initializing a quantum system to represent only the m known\npoints of a function f.",
"arxiv_id": "quant-ph/9807054",
"authors": [
"Dan Ventura",
"Tony Martinez"
],
"categories": [
"quant-ph"
],
"journal_ref": "Found.Phys.Lett. 12 (1999) 547-559",
"title": "Initializing the Amplitude Distribution of a Quantum State",
"url": "https://arxiv.org/abs/quant-ph/9807054"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "2373b77d-09ea-40be-82f3-a8a4a9bc178c",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}