dorsal/arxiv
View SchemaProduct Bases in Quantum Information Theory
| Authors | David P. DiVincenzo, Barbara M. Terhal |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0008055 |
| URL | https://arxiv.org/abs/quant-ph/0008055 |
Abstract
We review the role of product bases in quantum information theory. We prove two conjectures which were made in DiVincenzo et al., quant-ph/9908070, namely the existence of two sets of bipartite unextendible product bases, in arbitrary dimensions, which are based on a tile construction. We pose some questions related to complete product bases.
{
"annotation_id": "12bdbd1f-5ec8-4838-9cf0-58bda1e05d71",
"date_created": "2026-03-02T18:01:38.618000Z",
"date_modified": "2026-03-02T18:01:38.618000Z",
"file_hash": "72881f31ba682c7699899fecf5287c1e8a933d354797c817f96f2ec4d3fe1a41",
"private": false,
"record": {
"abstract": "We review the role of product bases in quantum information theory. We prove\ntwo conjectures which were made in DiVincenzo et al., quant-ph/9908070, namely\nthe existence of two sets of bipartite unextendible product bases, in arbitrary\ndimensions, which are based on a tile construction. We pose some questions\nrelated to complete product bases.",
"arxiv_id": "quant-ph/0008055",
"authors": [
"David P. DiVincenzo",
"Barbara M. Terhal"
],
"categories": [
"quant-ph"
],
"title": "Product Bases in Quantum Information Theory",
"url": "https://arxiv.org/abs/quant-ph/0008055"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "57a53b54-0b91-44b9-b105-3c1b34eb21d6",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}