dorsal/arxiv
View SchemaSubspace local quantum channels
| Authors | Johan Åberg |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0302181 |
| URL | https://arxiv.org/abs/quant-ph/0302181 |
| DOI | 10.1016/j.aop.2004.04.013 |
| Journal | Annals of Physics Vol. 313, p. 326 (2004) |
Abstract
A special class of quantum channels, named subspace local (SL), are defined and investigated. The proposed definition of subspace locality of quantum channels is an attempt to answer the question of what kind of restriction should be put on a channel, if it is to act `locally' with respect to two `locations', when these naturally correspond to a separation of the total Hilbert space in an orthogonal sum of subspaces, rather than a tensor product decomposition. It is shown that the set of SL channels decomposes into four disjoint families of channels. Explicit expressions to generate all channels in each family is presented. It is shown that one of these four families, the local subspace preserving (LSP) channels, is precisely the intersection between the set of subspace preserving channels and the SL channels. For a subclass of the LSP channels, a special type of unitary representation using ancilla systems is presented.
{
"annotation_id": "ac3c7769-a471-45dc-ac55-2d281700a82d",
"date_created": "2026-03-02T18:01:55.656000Z",
"date_modified": "2026-03-02T18:01:55.656000Z",
"file_hash": "a1f96f30e4ab48b01cc226298668f54f10f04fc26c67035ba221961cea246e28",
"private": false,
"record": {
"abstract": "A special class of quantum channels, named subspace local (SL), are defined\nand investigated. The proposed definition of subspace locality of quantum\nchannels is an attempt to answer the question of what kind of restriction\nshould be put on a channel, if it is to act `locally\u0027 with respect to two\n`locations\u0027, when these naturally correspond to a separation of the total\nHilbert space in an orthogonal sum of subspaces, rather than a tensor product\ndecomposition. It is shown that the set of SL channels decomposes into four\ndisjoint families of channels. Explicit expressions to generate all channels in\neach family is presented. It is shown that one of these four families, the\nlocal subspace preserving (LSP) channels, is precisely the intersection between\nthe set of subspace preserving channels and the SL channels. For a subclass of\nthe LSP channels, a special type of unitary representation using ancilla\nsystems is presented.",
"arxiv_id": "quant-ph/0302181",
"authors": [
"Johan \u00c5berg"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/j.aop.2004.04.013",
"journal_ref": "Annals of Physics Vol. 313, p. 326 (2004)",
"title": "Subspace local quantum channels",
"url": "https://arxiv.org/abs/quant-ph/0302181"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "13f55963-8ad0-4859-8f73-9bc9dbf7c019",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}