dorsal/arxiv
View SchemaQuantum Measurement Problem and Systems Selfdescription in Operators Algebras Formalism
| Authors | S. Mayburov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0212099 |
| URL | https://arxiv.org/abs/quant-ph/0212099 |
Abstract
Quantum Measurement problem studied in Information Theory approach of systems selfdescription which exploits the information acquisition incompleteness for the arbitrary information system. The studied model of measuring system (MS) consist of measured state S environment E and observer $O$ processing input S signal. $O$ considered as the quantum object which interaction with S,E obeys to Schrodinger equation (SE). MS incomplete or restricted states for $O$ derived by the algebraic QM formalism which exploits Segal and $C^*$-algebras. From Segal theorem for systems subalgebras it's shown that such restricted states $V^O=|O_j> < O_j|$ describes the classical random 'pointer' outcomes $O_j$ observed by $O$ in the individual events. The 'preferred' basis $|O_j>$ defined by $O$ state decoherence via $O$ - E interactions.
{
"annotation_id": "1e4ecaa7-29c5-4377-99a4-9bdb848e50a9",
"date_created": "2026-03-02T18:01:56.339000Z",
"date_modified": "2026-03-02T18:01:56.339000Z",
"file_hash": "edeecfb21550992cbb22ae6a1228a9ed8937bd4b76261323a6910d732d02ad94",
"private": false,
"record": {
"abstract": "Quantum Measurement problem studied in Information Theory approach of systems\nselfdescription which exploits the information acquisition incompleteness for\nthe arbitrary information system. The studied model of measuring system (MS)\nconsist of measured state S environment E and observer $O$ processing input S\nsignal.\n $O$ considered as the quantum object which interaction with S,E obeys to\nSchrodinger equation (SE). MS incomplete or restricted states for $O$ derived\nby the algebraic QM formalism which exploits Segal and $C^*$-algebras. From\nSegal theorem for systems subalgebras it\u0027s shown that such restricted states\n$V^O=|O_j\u003e \u003c O_j|$ describes the classical random \u0027pointer\u0027 outcomes $O_j$\nobserved by $O$ in the individual events. The \u0027preferred\u0027 basis $|O_j\u003e$ defined\nby $O$ state decoherence via $O$ - E interactions.",
"arxiv_id": "quant-ph/0212099",
"authors": [
"S. Mayburov"
],
"categories": [
"quant-ph"
],
"title": "Quantum Measurement Problem and Systems Selfdescription in Operators Algebras Formalism",
"url": "https://arxiv.org/abs/quant-ph/0212099"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "36a050f7-7d00-4c02-99ae-2eacb05bd603",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}