dorsal/arxiv
View SchemaQuantum Brachistochrone
| Authors | Alberto Carlini, Akio Hosoya, Tatsuhiko Koike, Yosuke Okudaira |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0511039 |
| URL | https://arxiv.org/abs/quant-ph/0511039 |
| DOI | 10.1103/PhysRevLett.96.060503 |
| Journal | Phys. Rev. Lett. 96, 060503 (2006) |
Abstract
We present a general framework for finding the time-optimal evolution and the optimal Hamiltonian for a quantum system with a given set of initial and final states. Our formulation is based on the variational principle and is analogous to that for the brachistochrone in classical mechanics. We reduce the problem to a formal equation for the Hamiltonian which depends on certain constraint functions specifying the range of available Hamiltonians. For some simple examples of the constraints, we explicitly find the optimal solutions.
{
"annotation_id": "e1f237e1-f2f3-4561-b7cb-5ee16be94357",
"date_created": "2026-03-02T18:02:20.025000Z",
"date_modified": "2026-03-02T18:02:20.025000Z",
"file_hash": "088be57be9a50da425584590682fe149a487c2683fed6f9074d03968f3d44eee",
"private": false,
"record": {
"abstract": "We present a general framework for finding the time-optimal evolution and the\noptimal Hamiltonian for a quantum system with a given set of initial and final\nstates. Our formulation is based on the variational principle and is analogous\nto that for the brachistochrone in classical mechanics. We reduce the problem\nto a formal equation for the Hamiltonian which depends on certain constraint\nfunctions specifying the range of available Hamiltonians. For some simple\nexamples of the constraints, we explicitly find the optimal solutions.",
"arxiv_id": "quant-ph/0511039",
"authors": [
"Alberto Carlini",
"Akio Hosoya",
"Tatsuhiko Koike",
"Yosuke Okudaira"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.96.060503",
"journal_ref": "Phys. Rev. Lett. 96, 060503 (2006)",
"title": "Quantum Brachistochrone",
"url": "https://arxiv.org/abs/quant-ph/0511039"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "187d1bb1-0e48-4cb6-9d8a-e21970c80ed9",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}