dorsal/arxiv
View SchemaMajorization criterion for distillability of a bipartite quantum state
| Authors | Tohya Hiroshima |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0303057 |
| URL | https://arxiv.org/abs/quant-ph/0303057 |
| DOI | 10.1103/PhysRevLett.91.057902 |
| Journal | .Phys. Rev. Lett. 91, 057902 (2003) |
Abstract
Bipartite quantum states are classified into three categories: separable states, bound entangled states, and free entangled states. It is of great importance to characterize these families of states for the development of quantum information science. In this paper, I show that the separable states and the bound entangled states have a common spectral property. More precisely, I prove that for undistillable -- separable and bound entangled -- states, the eigenvalue vector of the global system is majorized by that of the local system. This result constitutes a new sufficient condition for distillability of bipartite quantum states. This is achieved by proving that if a bipartite quantum state satisfies the reduction criterion for distillability, then it satisfies the majorization criterion for separability.
{
"annotation_id": "d1de79c0-6f34-4131-9718-98de3039bca7",
"date_created": "2026-03-02T18:01:56.618000Z",
"date_modified": "2026-03-02T18:01:56.618000Z",
"file_hash": "a1c38bde12667ba04c459f4934bb5836d9e332f82eb7cb494be350bf7809005c",
"private": false,
"record": {
"abstract": "Bipartite quantum states are classified into three categories: separable\nstates, bound entangled states, and free entangled states. It is of great\nimportance to characterize these families of states for the development of\nquantum information science. In this paper, I show that the separable states\nand the bound entangled states have a common spectral property. More precisely,\nI prove that for undistillable -- separable and bound entangled -- states, the\neigenvalue vector of the global system is majorized by that of the local\nsystem. This result constitutes a new sufficient condition for distillability\nof bipartite quantum states. This is achieved by proving that if a bipartite\nquantum state satisfies the reduction criterion for distillability, then it\nsatisfies the majorization criterion for separability.",
"arxiv_id": "quant-ph/0303057",
"authors": [
"Tohya Hiroshima"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.91.057902",
"journal_ref": ".Phys. Rev. Lett. 91, 057902 (2003)",
"title": "Majorization criterion for distillability of a bipartite quantum state",
"url": "https://arxiv.org/abs/quant-ph/0303057"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "024fe9f7-fdac-45e3-992c-b51b2fd8535a",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}