dorsal/arxiv
View SchemaUncertainty reconciles complementarity with joint measurability
| Authors | P. Busch, C. R. Shilladay |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0207081 |
| URL | https://arxiv.org/abs/quant-ph/0207081 |
| DOI | 10.1103/PhysRevA.68.034102 |
| Journal | Phys. Rev. A 68, 034102 (2003) |
Abstract
The fundamental principles of complementarity and uncertainty are shown to be related to the possibility of joint unsharp measurements of pairs of noncommuting quantum observables. A new joint measurement scheme for complementary observables is proposed. The measured observables are represented as positive operator valued measures (POVMs), whose intrinsic fuzziness parameters are found to satisfy an intriguing pay-off relation reflecting the complementarity. At the same time, this relation represents an instance of a Heisenberg uncertainty relation for measurement imprecisions. A model-independent consideration show that this uncertainty relation is logically connected with the joint measurability of the POVMs in question.
{
"annotation_id": "9938a080-685a-4f4c-bea6-d44ddc384efe",
"date_created": "2026-03-02T18:01:52.303000Z",
"date_modified": "2026-03-02T18:01:52.303000Z",
"file_hash": "1ff75b808cadd56443f274d8956dfd2f228fc04dcd7678c88fed92fad0e62b42",
"private": false,
"record": {
"abstract": "The fundamental principles of complementarity and uncertainty are shown to be\nrelated to the possibility of joint unsharp measurements of pairs of\nnoncommuting quantum observables. A new joint measurement scheme for\ncomplementary observables is proposed. The measured observables are represented\nas positive operator valued measures (POVMs), whose intrinsic fuzziness\nparameters are found to satisfy an intriguing pay-off relation reflecting the\ncomplementarity. At the same time, this relation represents an instance of a\nHeisenberg uncertainty relation for measurement imprecisions. A\nmodel-independent consideration show that this uncertainty relation is\nlogically connected with the joint measurability of the POVMs in question.",
"arxiv_id": "quant-ph/0207081",
"authors": [
"P. Busch",
"C. R. Shilladay"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.68.034102",
"journal_ref": "Phys. Rev. A 68, 034102 (2003)",
"title": "Uncertainty reconciles complementarity with joint measurability",
"url": "https://arxiv.org/abs/quant-ph/0207081"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "d38f6582-e53f-4186-90f3-d77ee1b1681d",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}