dorsal/arxiv
View SchemaWootters' distance revisited: a new distinguishability criterium
| Authors | A. P. Majtey, P. W. Lamberti, M. T. Martin, A. Plastino |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0408082 |
| URL | https://arxiv.org/abs/quant-ph/0408082 |
| DOI | 10.1140/epjd/e2005-00005-1 |
Abstract
The notion of distinguishability between quantum states has shown to be fundamental in the frame of quantum information theory. In this paper we present a new distinguishability criterium by using a information theoretic quantity: the Jensen-Shannon divergence (JSD). This quantity has several interesting properties, both from a conceptual and a formal point of view. Previous to define this distinguishability criterium, we review some of the most frequently used distances defined over quantum mechanics' Hilbert space. In this point our main claim is that the JSD can be taken as a unifying distance between quantum states.
{
"annotation_id": "7f6b99f3-d892-4c1f-b506-31ade4751798",
"date_created": "2026-03-02T18:02:10.379000Z",
"date_modified": "2026-03-02T18:02:10.379000Z",
"file_hash": "bab61550d480b96f214af3d4764a4e2063ef15dfd189eb6b7c3883a8fac6bf44",
"private": false,
"record": {
"abstract": "The notion of distinguishability between quantum states has shown to be\nfundamental in the frame of quantum information theory. In this paper we\npresent a new distinguishability criterium by using a information theoretic\nquantity: the Jensen-Shannon divergence (JSD). This quantity has several\ninteresting properties, both from a conceptual and a formal point of view.\nPrevious to define this distinguishability criterium, we review some of the\nmost frequently used distances defined over quantum mechanics\u0027 Hilbert space.\nIn this point our main claim is that the JSD can be taken as a unifying\ndistance between quantum states.",
"arxiv_id": "quant-ph/0408082",
"authors": [
"A. P. Majtey",
"P. W. Lamberti",
"M. T. Martin",
"A. Plastino"
],
"categories": [
"quant-ph"
],
"doi": "10.1140/epjd/e2005-00005-1",
"title": "Wootters\u0027 distance revisited: a new distinguishability criterium",
"url": "https://arxiv.org/abs/quant-ph/0408082"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "88e67e63-a97c-47b9-91b6-066100e24b17",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}