dorsal/arxiv
View SchemaQuantum control limited by quantum decoherence
| Authors | Fei Xue, S. X. Yu, C. P. Sun |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0507217 |
| URL | https://arxiv.org/abs/quant-ph/0507217 |
| DOI | 10.1103/PhysRevA.73.013403 |
| Journal | Phys. Rev. A 73, 013403 (2006) |
Abstract
We describe quantum controllability under the influences of the quantum decoherence induced by the quantum control itself. It is shown that, when the controller is considered as a quantum system, it will entangle with its controlled system and then cause quantum decoherence in the controlled system. In competition with this induced decoherence, the controllability will be limited by some uncertainty relation in a well-armed quantum control process. In association with the phase uncertainty and the standard quantum limit, a general model is studied to demonstrate the possibility of realizing a decoherence-free quantum control with a finite energy within a finite time. It is also shown that if the operations of quantum control are to be determined by the initial state of the controller, then due to the decoherence which results from the quantum control itself, there exists a low bound for quantum controllability.
{
"annotation_id": "8a414d1c-df7c-4128-a051-d016ce155bbf",
"date_created": "2026-03-02T18:02:20.535000Z",
"date_modified": "2026-03-02T18:02:20.535000Z",
"file_hash": "0bf5e666234d85b0d749883fe6a2caed0dfac9f2ab2558a3f0ff87ab9e984030",
"private": false,
"record": {
"abstract": "We describe quantum controllability under the influences of the quantum\ndecoherence induced by the quantum control itself. It is shown that, when the\ncontroller is considered as a quantum system, it will entangle with its\ncontrolled system and then cause quantum decoherence in the controlled system.\nIn competition with this induced decoherence, the controllability will be\nlimited by some uncertainty relation in a well-armed quantum control process.\nIn association with the phase uncertainty and the standard quantum limit, a\ngeneral model is studied to demonstrate the possibility of realizing a\ndecoherence-free quantum control with a finite energy within a finite time. It\nis also shown that if the operations of quantum control are to be determined by\nthe initial state of the controller, then due to the decoherence which results\nfrom the quantum control itself, there exists a low bound for quantum\ncontrollability.",
"arxiv_id": "quant-ph/0507217",
"authors": [
"Fei Xue",
"S. X. Yu",
"C. P. Sun"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.73.013403",
"journal_ref": "Phys. Rev. A 73, 013403 (2006)",
"title": "Quantum control limited by quantum decoherence",
"url": "https://arxiv.org/abs/quant-ph/0507217"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "3750a246-f4f8-467e-a23c-c0425f719493",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}