dorsal/arxiv
View SchemaPerforming joint measurements and transformations on several qubits by operating on a single control qubit
| Authors | Dominik Janzing, Thomas Decker, Thomas Beth |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0207134 |
| URL | https://arxiv.org/abs/quant-ph/0207134 |
| DOI | 10.1103/PhysRevA.67.042320 |
| Journal | Phys. Rev. A 67: 042320, 2003 |
Abstract
An n-qubit quantum register can in principle be completely controlled by operating on a single qubit that interacts with the register via an appropriate fixed interaction. We consider a hypothetical system consisting of n spin-1/2 nuclei that interact with an electron spin via a magnetic interaction. We describe algorithms that measure non-trivial joint observables on the register by acting on the control spin only. For large n this is not an efficient model for universal quantum computation but it can be modified to an efficient one if one allows n possible positions of the control particle. This toy model of measurements illustrates in which way specific interactions between the register and a probe particle support specific types of joint measurements in the sense that some joint observables can be measured by simple sequences of operations on the probe particle.
{
"annotation_id": "31667c7f-f6a2-4a9e-bf9a-ce0a6e5e2548",
"date_created": "2026-03-02T18:01:52.566000Z",
"date_modified": "2026-03-02T18:01:52.566000Z",
"file_hash": "1babe82c64b157866b485fda5a9548a85dc879854b14cdfd6c28aecb37f2ba76",
"private": false,
"record": {
"abstract": "An n-qubit quantum register can in principle be completely controlled by\noperating on a single qubit that interacts with the register via an appropriate\nfixed interaction. We consider a hypothetical system consisting of n spin-1/2\nnuclei that interact with an electron spin via a magnetic interaction. We\ndescribe algorithms that measure non-trivial joint observables on the register\nby acting on the control spin only. For large n this is not an efficient model\nfor universal quantum computation but it can be modified to an efficient one if\none allows n possible positions of the control particle.\n This toy model of measurements illustrates in which way specific interactions\nbetween the register and a probe particle support specific types of joint\nmeasurements in the sense that some joint observables can be measured by simple\nsequences of operations on the probe particle.",
"arxiv_id": "quant-ph/0207134",
"authors": [
"Dominik Janzing",
"Thomas Decker",
"Thomas Beth"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.67.042320",
"journal_ref": "Phys. Rev. A 67: 042320, 2003",
"title": "Performing joint measurements and transformations on several qubits by operating on a single control qubit",
"url": "https://arxiv.org/abs/quant-ph/0207134"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "abb833c4-af08-40fc-b3e3-89d978811205",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}