dorsal/arxiv
View SchemaConcentrating Partial Entanglement by Local Operations
| Authors | Charles H. Bennett, Herbert J. Bernstein, Sandu Popescu, Benjamin Schumacher |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9511030 |
| URL | https://arxiv.org/abs/quant-ph/9511030 |
| DOI | 10.1103/PhysRevA.53.2046 |
| Journal | Phys.Rev.A53:2046-2052,1996 |
Abstract
If two separated observers are supplied with entanglement, in the form of $n$ pairs of particles in identical partly-entangled pure states, one member of each pair being given to each observer; they can, by local actions of each observer, concentrate this entanglement into a smaller number of maximally-entangled pairs of particles, for example Einstein-Podolsky-Rosen singlets, similarly shared between the two observers. The concentration process asymptotically conserves {\em entropy of entanglement}---the von Neumann entropy of the partial density matrix seen by either observer---with the yield of singlets approaching, for large $n$, the base-2 entropy of entanglement of the initial partly-entangled pure state. Conversely, any pure or mixed entangled state of two systems can be produced by two classically-communicating separated observers, drawing on a supply of singlets as their sole source of entanglement.
{
"annotation_id": "93cb4664-12d2-4a80-bea2-14c69b1baf6f",
"date_created": "2026-03-02T18:02:37.041000Z",
"date_modified": "2026-03-02T18:02:37.041000Z",
"file_hash": "45d468a170552913f6312aca4d555eadc733961ad0f025c1b90f72fbe04fd61c",
"private": false,
"record": {
"abstract": "If two separated observers are supplied with entanglement, in the form of $n$\npairs of particles in identical partly-entangled pure states, one member of\neach pair being given to each observer; they can, by local actions of each\nobserver, concentrate this entanglement into a smaller number of\nmaximally-entangled pairs of particles, for example Einstein-Podolsky-Rosen\nsinglets, similarly shared between the two observers. The concentration process\nasymptotically conserves {\\em entropy of entanglement}---the von Neumann\nentropy of the partial density matrix seen by either observer---with the yield\nof singlets approaching, for large $n$, the base-2 entropy of entanglement of\nthe initial partly-entangled pure state. Conversely, any pure or mixed\nentangled state of two systems can be produced by two classically-communicating\nseparated observers, drawing on a supply of singlets as their sole source of\nentanglement.",
"arxiv_id": "quant-ph/9511030",
"authors": [
"Charles H. Bennett",
"Herbert J. Bernstein",
"Sandu Popescu",
"Benjamin Schumacher"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.53.2046",
"journal_ref": "Phys.Rev.A53:2046-2052,1996",
"title": "Concentrating Partial Entanglement by Local Operations",
"url": "https://arxiv.org/abs/quant-ph/9511030"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "05ae8ca6-3606-483e-9a54-89bcba7db7df",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}