dorsal/arxiv
View SchemaContact between laboratory instruments and equations of quantum mechanics
| Authors | John M. Myers, F. Hadi Madjid |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0005007 |
| URL | https://arxiv.org/abs/quant-ph/0005007 |
| DOI | 10.1117/12.391960 |
Abstract
Ambiguity in the contact between laboratory instruments and equations of quantum mechanics is formulated in terms of responses of the instruments to commands transmitted to them by a Classical digital Process-control Computer (CPC); in this way instruments are distinguished from quantum-mechanical models (sets of equations) that specify what is desired of the instruments. Results include: (1) a formulation of quantum mechanics adapted to computer-controlled instruments; (2) a lower bound on the precision of unitary transforms required for quantum searching and a lower bound on sample size needed to show that instruments implement a desired model at that precision; (3) a lower bound on precision of timing required of a CPC in directing instruments; (4) a demonstration that guesswork is necessary in ratcheting up the precision of commands.
{
"annotation_id": "950fe2de-c26c-4e3e-bc2f-c6a87af66c2f",
"date_created": "2026-03-02T18:01:38.727000Z",
"date_modified": "2026-03-02T18:01:38.727000Z",
"file_hash": "c48f355fd9e2f76514fbd3903559c69e9883f0fbb918b6561a204ed56ec4b11d",
"private": false,
"record": {
"abstract": "Ambiguity in the contact between laboratory instruments and equations of\nquantum mechanics is formulated in terms of responses of the instruments to\ncommands transmitted to them by a Classical digital Process-control Computer\n(CPC); in this way instruments are distinguished from quantum-mechanical models\n(sets of equations) that specify what is desired of the instruments. Results\ninclude: (1) a formulation of quantum mechanics adapted to computer-controlled\ninstruments; (2) a lower bound on the precision of unitary transforms required\nfor quantum searching and a lower bound on sample size needed to show that\ninstruments implement a desired model at that precision; (3) a lower bound on\nprecision of timing required of a CPC in directing instruments; (4) a\ndemonstration that guesswork is necessary in ratcheting up the precision of\ncommands.",
"arxiv_id": "quant-ph/0005007",
"authors": [
"John M. Myers",
"F. Hadi Madjid"
],
"categories": [
"quant-ph"
],
"doi": "10.1117/12.391960",
"title": "Contact between laboratory instruments and equations of quantum mechanics",
"url": "https://arxiv.org/abs/quant-ph/0005007"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "cf5f440d-1665-4066-92da-5431317f493c",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}