dorsal/arxiv
View SchemaRobust observer for uncertain linear quantum systems
| Authors | Naoki Yamamoto |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0602235 |
| URL | https://arxiv.org/abs/quant-ph/0602235 |
| DOI | 10.1103/PhysRevA.74.032107 |
| Journal | Physical Review A 74, 032107 (2006) |
Abstract
In the theory of quantum dynamical filtering, one of the biggest issues is that the underlying system dynamics represented by a quantum stochastic differential equation must be known exactly in order that the corresponding filter provides an optimal performance; however, this assumption is generally unrealistic. Therefore, in this paper, we consider a class of linear quantum systems subjected to time-varying norm-bounded parametric uncertainties and then propose a robust observer such that the variance of the estimation error is guaranteed to be within a certain bound. Although in the linear case much of classical control theory can be applied to quantum systems, the quantum robust observer obtained in this paper does not have a classical analogue due to the system's specific structure with respect to the uncertainties. Moreover, by considering a typical quantum control problem, we show that the proposed robust observer is fairly robust against a parametric uncertainty of the system even when the other estimators--the optimal Kalman filter and risk-sensitive observer--fail in the estimation.
{
"annotation_id": "da59b686-493f-42f6-98be-16f8ac593300",
"date_created": "2026-03-02T18:02:23.674000Z",
"date_modified": "2026-03-02T18:02:23.674000Z",
"file_hash": "344177b11592ae952a82576f957f98e5bb882f9d19c89dccfc10b50e526030ea",
"private": false,
"record": {
"abstract": "In the theory of quantum dynamical filtering, one of the biggest issues is\nthat the underlying system dynamics represented by a quantum stochastic\ndifferential equation must be known exactly in order that the corresponding\nfilter provides an optimal performance; however, this assumption is generally\nunrealistic. Therefore, in this paper, we consider a class of linear quantum\nsystems subjected to time-varying norm-bounded parametric uncertainties and\nthen propose a robust observer such that the variance of the estimation error\nis guaranteed to be within a certain bound. Although in the linear case much of\nclassical control theory can be applied to quantum systems, the quantum robust\nobserver obtained in this paper does not have a classical analogue due to the\nsystem\u0027s specific structure with respect to the uncertainties. Moreover, by\nconsidering a typical quantum control problem, we show that the proposed robust\nobserver is fairly robust against a parametric uncertainty of the system even\nwhen the other estimators--the optimal Kalman filter and risk-sensitive\nobserver--fail in the estimation.",
"arxiv_id": "quant-ph/0602235",
"authors": [
"Naoki Yamamoto"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.74.032107",
"journal_ref": "Physical Review A 74, 032107 (2006)",
"title": "Robust observer for uncertain linear quantum systems",
"url": "https://arxiv.org/abs/quant-ph/0602235"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "81f0d120-e172-48d0-99ba-5b69bb6c866c",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}