dorsal/arxiv
View SchemaMonitoring Quantum Oscillations with very small Disturbance
| Authors | Jürgen Audretsch, Felix E. Klee, Thomas Konrad |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0408107 |
| URL | https://arxiv.org/abs/quant-ph/0408107 |
Abstract
We present a new scheme to detect and visualize oscillations of a single quantum system in real time. The scheme is based upon a sequence of very weak generalized measurements, distinguished by their low disturbance and low information gain. Accumulating the information from the single measurements by means of an appropriate Bayesian Estimator, the actual oscillations can be monitored nevertheless with high accuracy and low disturbance. For this purpose only the minimum and the maximum expected oscillation frequency need to be known. The accumulation of information is based on a general derivation of the optimal estimator of the expectation value of a hermitian observable for a sequence of measurements. At any time it takes into account all the preceding measurement results.
{
"annotation_id": "133bc499-3f4c-45ca-86ab-6266655922cf",
"date_created": "2026-03-02T18:02:10.378000Z",
"date_modified": "2026-03-02T18:02:10.378000Z",
"file_hash": "e5fa57c6f71df3a7420b6a9811df77e133fdcf147300496485931cc06685f3ac",
"private": false,
"record": {
"abstract": "We present a new scheme to detect and visualize oscillations of a single\nquantum system in real time. The scheme is based upon a sequence of very weak\ngeneralized measurements, distinguished by their low disturbance and low\ninformation gain. Accumulating the information from the single measurements by\nmeans of an appropriate Bayesian Estimator, the actual oscillations can be\nmonitored nevertheless with high accuracy and low disturbance. For this purpose\nonly the minimum and the maximum expected oscillation frequency need to be\nknown. The accumulation of information is based on a general derivation of the\noptimal estimator of the expectation value of a hermitian observable for a\nsequence of measurements. At any time it takes into account all the preceding\nmeasurement results.",
"arxiv_id": "quant-ph/0408107",
"authors": [
"J\u00fcrgen Audretsch",
"Felix E. Klee",
"Thomas Konrad"
],
"categories": [
"quant-ph"
],
"title": "Monitoring Quantum Oscillations with very small Disturbance",
"url": "https://arxiv.org/abs/quant-ph/0408107"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "1f252fdd-fec0-47d2-80a4-b9e1cff63eca",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}