dorsal/arxiv
View SchemaAn quantum approach of measurement based on the Zurek's triple model
| Authors | P. Zhang, X. F. Liu, C. P. Sun |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0204121 |
| URL | https://arxiv.org/abs/quant-ph/0204121 |
| DOI | 10.1103/PhysRevA.66.042104 |
Abstract
In a close form without referring the time-dependent Hamiltonian to the total system, a consistent approach for quantum measurement is proposed based on Zurek's triple model of quantum decoherence [W.Zurek, Phys. Rev. D 24, 1516 (1981)]. An exactly-solvable model based on the intracavity system is dealt with in details to demonstrate the central idea in our approach: by peeling off one collective variable of the measuring apparatus from its many degrees of freedom, as the pointer of the apparatus, the collective variable de-couples with the internal environment formed by the effective internal variables, but still interacts with the measured system to form a triple entanglement among the measured system, the pointer and the internal environment. As another mechanism to cause decoherence, the uncertainty of relative phase and its many-particle amplification can be summed up to an ideal entanglement or an Shmidt decomposition with respect to the preferred basis.
{
"annotation_id": "82723fa0-666e-4c3a-b9fc-d54bc61752dc",
"date_created": "2026-03-02T18:01:49.495000Z",
"date_modified": "2026-03-02T18:01:49.495000Z",
"file_hash": "62ec81ec91de16f1a9d0e191bb16b446d85f118ffa6fcc79c165a537565b3b72",
"private": false,
"record": {
"abstract": "In a close form without referring the time-dependent Hamiltonian to the total\nsystem, a consistent approach for quantum measurement is proposed based on\nZurek\u0027s triple model of quantum decoherence [W.Zurek, Phys. Rev. D 24, 1516\n(1981)]. An exactly-solvable model based on the intracavity system is dealt\nwith in details to demonstrate the central idea in our approach: by peeling off\none collective variable of the measuring apparatus from its many degrees of\nfreedom, as the pointer of the apparatus, the collective variable de-couples\nwith the internal environment formed by the effective internal variables, but\nstill interacts with the measured system to form a triple entanglement among\nthe measured system, the pointer and the internal environment. As another\nmechanism to cause decoherence, the uncertainty of relative phase and its\nmany-particle amplification can be summed up to an ideal entanglement or an\nShmidt decomposition with respect to the preferred basis.",
"arxiv_id": "quant-ph/0204121",
"authors": [
"P. Zhang",
"X. F. Liu",
"C. P. Sun"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.66.042104",
"title": "An quantum approach of measurement based on the Zurek\u0027s triple model",
"url": "https://arxiv.org/abs/quant-ph/0204121"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "ccae46a9-3e58-413a-8168-05b98ba8618c",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}