dorsal/arxiv
View SchemaGeneralized Quantum Search Hamiltonian
| Authors | Joonwoo Bae, Younghun Kwon |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0110020 |
| URL | https://arxiv.org/abs/quant-ph/0110020 |
| DOI | 10.1103/PhysRevA.66.012314 |
| Journal | Phys. Rev. A 66, 012314(2002) |
Abstract
There are hamiltonians that solve a search problem of finding one of $N$ items in $O(\sqrt{N})$ steps. They are hamiltonians to describe an oscillation between two states. In this paper we propose a generalized search hamiltonian, $H_{g}$. Then the known search hamiltonians become special cases of $H_{g}$. From the generalized search hamiltonian, we present remarkable results that searching with 100% is subject only to the phase factor in $H_{g}$ and independent to the number of states or initialization.
{
"annotation_id": "8cc06b1d-9bbb-487c-9d60-8b817794f7b8",
"date_created": "2026-03-02T18:01:46.039000Z",
"date_modified": "2026-03-02T18:01:46.039000Z",
"file_hash": "167d103318f3641c1da5a0902138c93b2d84cc20204a55073f1c808b77afd963",
"private": false,
"record": {
"abstract": "There are hamiltonians that solve a search problem of finding one of $N$\nitems in $O(\\sqrt{N})$ steps. They are hamiltonians to describe an oscillation\nbetween two states. In this paper we propose a generalized search hamiltonian,\n$H_{g}$. Then the known search hamiltonians become special cases of $H_{g}$.\n From the generalized search hamiltonian, we present remarkable results that\nsearching with 100% is subject only to the phase factor in $H_{g}$ and\nindependent to the number of states or initialization.",
"arxiv_id": "quant-ph/0110020",
"authors": [
"Joonwoo Bae",
"Younghun Kwon"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.66.012314",
"journal_ref": "Phys. Rev. A 66, 012314(2002)",
"title": "Generalized Quantum Search Hamiltonian",
"url": "https://arxiv.org/abs/quant-ph/0110020"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "28b7a4aa-7c90-4ef1-9a56-7edceb2d3142",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}