dorsal/arxiv
View SchemaTheoretical Setting of Inner Reversible Quantum Measurements
| Authors | Paola Zizzi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0507155 |
| URL | https://arxiv.org/abs/quant-ph/0507155 |
| DOI | 10.1142/S0217732306021827 |
| Journal | Mod. Phys. Lett. A, Vol.21, No. 36 (2006) pp. 2717-2727 |
Abstract
We show that any unitary transformation performed on the quantum state of a closed quantum system, describes an inner, reversible, generalized quantum measurement. We also show that under some specific conditions it is possible to perform a unitary transformation on the state of the closed quantum system by means of a collection of generalized measurement operators. In particular, given a complete set of orthogonal projectors, it is possible to implement a reversible quantum measurement that preserves the probabilities. In this context, we introduce the concept of "Truth-Observable", which is the physical counterpart of an inner logical truth.
{
"annotation_id": "139bdab2-1212-466d-b98b-1cf270317971",
"date_created": "2026-03-02T18:02:19.360000Z",
"date_modified": "2026-03-02T18:02:19.360000Z",
"file_hash": "d81d00121f171a501743283865c5df3362723863e5dee9c699a3b0b9ed148d20",
"private": false,
"record": {
"abstract": "We show that any unitary transformation performed on the quantum state of a\nclosed quantum system, describes an inner, reversible, generalized quantum\nmeasurement. We also show that under some specific conditions it is possible to\nperform a unitary transformation on the state of the closed quantum system by\nmeans of a collection of generalized measurement operators. In particular,\ngiven a complete set of orthogonal projectors, it is possible to implement a\nreversible quantum measurement that preserves the probabilities. In this\ncontext, we introduce the concept of \"Truth-Observable\", which is the physical\ncounterpart of an inner logical truth.",
"arxiv_id": "quant-ph/0507155",
"authors": [
"Paola Zizzi"
],
"categories": [
"quant-ph",
"cs.LO",
"math-ph",
"math.LO",
"math.MP"
],
"doi": "10.1142/S0217732306021827",
"journal_ref": "Mod. Phys. Lett. A, Vol.21, No. 36 (2006) pp. 2717-2727",
"title": "Theoretical Setting of Inner Reversible Quantum Measurements",
"url": "https://arxiv.org/abs/quant-ph/0507155"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "c21bb4da-5315-4cf3-bc00-a8f29c15ce2c",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}