dorsal/arxiv
View SchemaOn asymptotic continuity of functions of quantum states
| Authors | Barbara Synak-Radtke, Michal Horodecki |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0507126 |
| URL | https://arxiv.org/abs/quant-ph/0507126 |
| DOI | 10.1088/0305-4470/39/26/L02 |
| Journal | J. Phys. A: Math. Gen. 39 (2006) L423-L437 |
Abstract
A useful kind of continuity of quantum states functions in asymptotic regime is so-called asymptotic continuity. In this paper we provide general tools for checking if a function possesses this property. First we prove equivalence of asymptotic continuity with so-called it robustness under admixture. This allows us to show that relative entropy distance from a convex set including maximally mixed state is asymptotically continuous. Subsequently, we consider it arrowing - a way of building a new function out of a given one. The procedure originates from constructions of intrinsic information and entanglement of formation. We show that arrowing preserves asymptotic continuity for a class of functions (so-called subextensive ones). The result is illustrated by means of several examples.
{
"annotation_id": "8eb842aa-3338-46f6-b8eb-6199641ce239",
"date_created": "2026-03-02T18:02:17.037000Z",
"date_modified": "2026-03-02T18:02:17.037000Z",
"file_hash": "752f4bd8becac88a6044bf46a843988be1d2025c3d5c628e67a919780b6f051c",
"private": false,
"record": {
"abstract": "A useful kind of continuity of quantum states functions in asymptotic regime\nis so-called asymptotic continuity. In this paper we provide general tools for\nchecking if a function possesses this property. First we prove equivalence of\nasymptotic continuity with so-called it robustness under admixture. This allows\nus to show that relative entropy distance from a convex set including maximally\nmixed state is asymptotically continuous. Subsequently, we consider it arrowing\n- a way of building a new function out of a given one. The procedure originates\nfrom constructions of intrinsic information and entanglement of formation. We\nshow that arrowing preserves asymptotic continuity for a class of functions\n(so-called subextensive ones). The result is illustrated by means of several\nexamples.",
"arxiv_id": "quant-ph/0507126",
"authors": [
"Barbara Synak-Radtke",
"Michal Horodecki"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/39/26/L02",
"journal_ref": "J. Phys. A: Math. Gen. 39 (2006) L423-L437",
"title": "On asymptotic continuity of functions of quantum states",
"url": "https://arxiv.org/abs/quant-ph/0507126"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "e39c80e4-914a-464d-9612-83bdad3f62a5",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}