dorsal/arxiv
View SchemaQuantum Correlations, Local Interactions and Error Correction
| Authors | V. Vedral, M. A. Rippin, M. B. Plenio |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9608030 |
| URL | https://arxiv.org/abs/quant-ph/9608030 |
| DOI | 10.1080/09500349708231878 |
Abstract
We consider the effects of local interactions upon quantum mechanically entangled systems. In particular we demonstrate that non-local correlations cannot increase through local operations on any of the subsystems, but that through the use of quantum error correction methods, correlations can be maintained. We provide two mathematical proofs that local general measurements cannot increase correlations, and also derive general conditions for quantum error correcting codes. Using these we show that local quantum error correction can preserve nonlocal features of entangled quantum systems. We also demonstrate these results by use of specific examples employing correlated optical cavities interacting locally with resonant atoms. By way of counter example, we also describe a mechanism by which correlations can be increased, which demonstrates the need for it non-local interactions.
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"abstract": "We consider the effects of local interactions upon quantum mechanically\nentangled systems. In particular we demonstrate that non-local correlations\ncannot increase through local operations on any of the subsystems, but that\nthrough the use of quantum error correction methods, correlations can be\nmaintained. We provide two mathematical proofs that local general measurements\ncannot increase correlations, and also derive general conditions for quantum\nerror correcting codes. Using these we show that local quantum error correction\ncan preserve nonlocal features of entangled quantum systems. We also\ndemonstrate these results by use of specific examples employing correlated\noptical cavities interacting locally with resonant atoms. By way of counter\nexample, we also describe a mechanism by which correlations can be increased,\nwhich demonstrates the need for it non-local interactions.",
"arxiv_id": "quant-ph/9608030",
"authors": [
"V. Vedral",
"M. A. Rippin",
"M. B. Plenio"
],
"categories": [
"quant-ph"
],
"doi": "10.1080/09500349708231878",
"title": "Quantum Correlations, Local Interactions and Error Correction",
"url": "https://arxiv.org/abs/quant-ph/9608030"
},
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