dorsal/arxiv
View SchemaPartial Recovery of Quantum Entanglement
| Authors | Runyao Duan, Yuan Feng, Mingsheng Ying |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0404047 |
| URL | https://arxiv.org/abs/quant-ph/0404047 |
| Journal | IEEE Trans. Inform. Theory, vol. 52, no. 7, pp. 3080-3104, Jul.(2006) |
Abstract
Suppose Alice and Bob try to transform an entangled state shared between them into another one by local operations and classical communications. Then in general a certain amount of entanglement contained in the initial state will decrease in the process of transformation. However, an interesting phenomenon called partial entanglement recovery shows that it is possible to recover some amount of entanglement by adding another entangled state and transforming the two entangled states collectively. In this paper we are mainly concerned with the feasibility of partial entanglement recovery. The basic problem we address is whether a given state is useful in recovering entanglement lost in a specified transformation. In the case where the source and target states of the original transformation satisfy the strict majorization relation, a necessary and sufficient condition for partial entanglement recovery is obtained. For the general case we give two sufficient conditions. We also give an efficient algorithm for the feasibility of partial entanglement recovery in polynomial time. As applications, we establish some interesting connections between partial entanglement recovery and the generation of maximally entangled states, quantum catalysis, mutual catalysis, and multiple-copy entanglement transformation.
{
"annotation_id": "7a32ddf4-45bb-4df9-8d32-61dfc38bbc4a",
"date_created": "2026-03-02T18:02:06.342000Z",
"date_modified": "2026-03-02T18:02:06.342000Z",
"file_hash": "0ae15231289e9b592726289a47b395d4a93e79f67422429ca37974417859bb93",
"private": false,
"record": {
"abstract": "Suppose Alice and Bob try to transform an entangled state shared between them\ninto another one by local operations and classical communications. Then in\ngeneral a certain amount of entanglement contained in the initial state will\ndecrease in the process of transformation. However, an interesting phenomenon\ncalled partial entanglement recovery shows that it is possible to recover some\namount of entanglement by adding another entangled state and transforming the\ntwo entangled states collectively.\n In this paper we are mainly concerned with the feasibility of partial\nentanglement recovery. The basic problem we address is whether a given state is\nuseful in recovering entanglement lost in a specified transformation. In the\ncase where the source and target states of the original transformation satisfy\nthe strict majorization relation, a necessary and sufficient condition for\npartial entanglement recovery is obtained. For the general case we give two\nsufficient conditions. We also give an efficient algorithm for the feasibility\nof partial entanglement recovery in polynomial time.\n As applications, we establish some interesting connections between partial\nentanglement recovery and the generation of maximally entangled states, quantum\ncatalysis, mutual catalysis, and multiple-copy entanglement transformation.",
"arxiv_id": "quant-ph/0404047",
"authors": [
"Runyao Duan",
"Yuan Feng",
"Mingsheng Ying"
],
"categories": [
"quant-ph"
],
"journal_ref": "IEEE Trans. Inform. Theory, vol. 52, no. 7, pp. 3080-3104,\n Jul.(2006)",
"title": "Partial Recovery of Quantum Entanglement",
"url": "https://arxiv.org/abs/quant-ph/0404047"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "85ebd2b2-1b5a-4e4d-932e-41712c292360",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}