dorsal/arxiv
View SchemaQuantum searching with continuous variables
| Authors | Arun K. Pati, Samuel L. Braunstein, Seth Lloyd |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0002082 |
| URL | https://arxiv.org/abs/quant-ph/0002082 |
Abstract
A fast quantum search algorithm for continuous variables is presented. The result is the quantum continuous variable analog of Grover's algorithm originally proposed for qubits. A continuous variable analog of the Hadamard (i.e., Fourier transform) operation is used in conjunction with inversion about the average of quantum states to allow the approximate identification of an unknown quantum state in a way that gives a square-root speed-up over search algorithms using classical continuous variables. Also, we show that this quantum search algorithm is robust for a generalised Fourier transformation on continuous variables.
{
"annotation_id": "2f4ac34e-4a1a-4453-a583-7ef8edb4d20f",
"date_created": "2026-03-02T18:01:37.944000Z",
"date_modified": "2026-03-02T18:01:37.944000Z",
"file_hash": "6f7eeee9f151357a0b09216e26b669c802d0e522e53875f6abb73dec3b46ad5f",
"private": false,
"record": {
"abstract": "A fast quantum search algorithm for continuous variables is presented. The\nresult is the quantum continuous variable analog of Grover\u0027s algorithm\noriginally proposed for qubits. A continuous variable analog of the Hadamard\n(i.e., Fourier transform) operation is used in conjunction with inversion about\nthe average of quantum states to allow the approximate identification of an\nunknown quantum state in a way that gives a square-root speed-up over search\nalgorithms using classical continuous variables. Also, we show that this\nquantum search algorithm is robust for a generalised Fourier transformation on\ncontinuous variables.",
"arxiv_id": "quant-ph/0002082",
"authors": [
"Arun K. Pati",
"Samuel L. Braunstein",
"Seth Lloyd"
],
"categories": [
"quant-ph"
],
"title": "Quantum searching with continuous variables",
"url": "https://arxiv.org/abs/quant-ph/0002082"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "ecbf7412-8c1b-4577-a38e-26326e93e711",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}