dorsal/arxiv
View SchemaCoupled Ito equations of continuous quantum state measurement, and estimation
| Authors | Lajos Diosi, Thomas Konrad, Artur Scherer, Juergen Audretsch |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0608097 |
| URL | https://arxiv.org/abs/quant-ph/0608097 |
| DOI | 10.1088/0305-4470/39/40/L01 |
| Journal | J. Phys. A: Math. Gen. 39 (2006) L575-L581 |
Abstract
We discuss a non-linear stochastic master equation that governs the time-evolution of the estimated quantum state. Its differential evolution corresponds to the infinitesimal updates that depend on the time-continuous measurement of the true quantum state. The new stochastic master equation couples to the two standard stochastic differential equations of time-continuous quantum measurement. For the first time, we can prove that the calculated estimate almost always converges to the true state, also at low-efficiency measurements. We show that our single-state theory can be adapted to weak continuous ensemble measurements as well.
{
"annotation_id": "108a9b7d-120c-4e55-9fdc-6a45221e9c88",
"date_created": "2026-03-02T18:02:31.149000Z",
"date_modified": "2026-03-02T18:02:31.149000Z",
"file_hash": "7e3be96e48efea265e254c55ce0f3b7cc709189dbb33db9c1c3e78679fbf44c9",
"private": false,
"record": {
"abstract": "We discuss a non-linear stochastic master equation that governs the\ntime-evolution of the estimated quantum state. Its differential evolution\ncorresponds to the infinitesimal updates that depend on the time-continuous\nmeasurement of the true quantum state. The new stochastic master equation\ncouples to the two standard stochastic differential equations of\ntime-continuous quantum measurement. For the first time, we can prove that the\ncalculated estimate almost always converges to the true state, also at\nlow-efficiency measurements. We show that our single-state theory can be\nadapted to weak continuous ensemble measurements as well.",
"arxiv_id": "quant-ph/0608097",
"authors": [
"Lajos Diosi",
"Thomas Konrad",
"Artur Scherer",
"Juergen Audretsch"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/39/40/L01",
"journal_ref": "J. Phys. A: Math. Gen. 39 (2006) L575-L581",
"title": "Coupled Ito equations of continuous quantum state measurement, and estimation",
"url": "https://arxiv.org/abs/quant-ph/0608097"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "586bad73-8d14-48ec-96f7-d3d4be74ef45",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}