dorsal/arxiv
View SchemaExtension maps
| Authors | Aik-meng Kuah, E. C. G. Sudarshan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0503119 |
| URL | https://arxiv.org/abs/quant-ph/0503119 |
Abstract
We define extension maps as maps that extend a system (through adding ancillary systems) without changing the state in the original system. We show, using extension maps, why a completely positive operation on an initially entangled system results in a non positive mapping of a subsystem. We also show that any trace preserving map, either positive or negative, can be decomposed in terms of an extension map and a completely positive map.
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"abstract": "We define extension maps as maps that extend a system (through adding\nancillary systems) without changing the state in the original system. We show,\nusing extension maps, why a completely positive operation on an initially\nentangled system results in a non positive mapping of a subsystem. We also show\nthat any trace preserving map, either positive or negative, can be decomposed\nin terms of an extension map and a completely positive map.",
"arxiv_id": "quant-ph/0503119",
"authors": [
"Aik-meng Kuah",
"E. C. G. Sudarshan"
],
"categories": [
"quant-ph"
],
"title": "Extension maps",
"url": "https://arxiv.org/abs/quant-ph/0503119"
},
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