dorsal/arxiv
View SchemaSpectral implementation of some quantum algorithms by one- and two-dimensional nuclear magnetic resonance
| Authors | Ranabir Das, Anil Kumar |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0503101 |
| URL | https://arxiv.org/abs/quant-ph/0503101 |
| DOI | 10.1063/1.1795674 |
| Journal | J. Chem. Phys. 121, 7601 (2004) |
Abstract
Quantum information processing has been effectively demonstrated on a small number of qubits by nuclear magnetic resonance. An important subroutine in any computing is the readout of the output. ``Spectral implementation'' originally suggested by Z.L. Madi, R. Bruschweiler and R.R. Ernst, [J. Chem. Phys. 109, 10603 (1999)], provides an elegant method of readout with the use of an extra `observer' qubit. At the end of computation, detection of the observer qubit provides the output via the multiplet structure of its spectrum. In "spectral implementation" by two-dimensional experiment the observer qubit retains the memory of input state during computation, thereby providing correlated information on input and output, in the same spectrum. "Spectral implementation" of Grover's search algorithm, approximate quantum counting, a modified version of Berstein-Vazirani problem, and Hogg's algorithm is demonstrated here in three and four-qubit systems.
{
"annotation_id": "37bb9791-3d34-422c-9ac3-e6f0efbe6cbe",
"date_created": "2026-03-02T18:02:13.473000Z",
"date_modified": "2026-03-02T18:02:13.473000Z",
"file_hash": "e0ad6ddbcda297ed245ca66ea5af79b36cf73ad18d4f6895a397fbfb209051d2",
"private": false,
"record": {
"abstract": "Quantum information processing has been effectively demonstrated on a small\nnumber of qubits by nuclear magnetic resonance. An important subroutine in any\ncomputing is the readout of the output. ``Spectral implementation\u0027\u0027 originally\nsuggested by Z.L. Madi, R. Bruschweiler and R.R. Ernst,\n [J. Chem. Phys. 109, 10603 (1999)], provides an elegant method of readout\nwith the use of an extra `observer\u0027 qubit. At the end of computation, detection\nof the observer qubit provides the output via the multiplet structure of its\nspectrum. In \"spectral implementation\" by two-dimensional experiment the\nobserver qubit retains the memory of input state during computation, thereby\nproviding correlated information on input and output, in the same spectrum.\n\"Spectral implementation\" of Grover\u0027s search algorithm, approximate quantum\ncounting, a modified version of Berstein-Vazirani problem, and Hogg\u0027s algorithm\nis demonstrated here in three and four-qubit systems.",
"arxiv_id": "quant-ph/0503101",
"authors": [
"Ranabir Das",
"Anil Kumar"
],
"categories": [
"quant-ph"
],
"doi": "10.1063/1.1795674",
"journal_ref": "J. Chem. Phys. 121, 7601 (2004)",
"title": "Spectral implementation of some quantum algorithms by one- and two-dimensional nuclear magnetic resonance",
"url": "https://arxiv.org/abs/quant-ph/0503101"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "a8ff3082-c8d5-4c72-add8-0fa8155d401b",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}