dorsal/arxiv
View SchemaPhysical accessibility of non-completely positive maps
| Authors | Hilary Carteret, Daniel R. Terno, Karol Zyczkowski |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0512167 |
| URL | https://arxiv.org/abs/quant-ph/0512167 |
| DOI | 10.1103/PhysRevA.77.042113 |
| Journal | Phys. Rev A 77, 042113 (2008) |
Abstract
Maps that are not completely positive (CP) are often useful to describe the dynamics of open systems. An apparent violation of complete positivity can occur because there are prior correlations of the principal system with the environment, or if the applied transformation is correlated with the state of the system. We provide a physically motivated definition of accessible non-CP maps and derive two necessary conditions for a map to be accessible. We also show that entanglement between the system and the environment is not necessary to generate a non-CP dynamics. We describe two simple approximations that may be sufficient for some problems in process tomography, and then outline what these methods may be able to tell us in other situations where non-CP dynamics naturally arise.
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"abstract": "Maps that are not completely positive (CP) are often useful to describe the\ndynamics of open systems. An apparent violation of complete positivity can\noccur because there are prior correlations of the principal system with the\nenvironment, or if the applied transformation is correlated with the state of\nthe system. We provide a physically motivated definition of accessible non-CP\nmaps and derive two necessary conditions for a map to be accessible. We also\nshow that entanglement between the system and the environment is not necessary\nto generate a non-CP dynamics. We describe two simple approximations that may\nbe sufficient for some problems in process tomography, and then outline what\nthese methods may be able to tell us in other situations where non-CP dynamics\nnaturally arise.",
"arxiv_id": "quant-ph/0512167",
"authors": [
"Hilary Carteret",
"Daniel R. Terno",
"Karol Zyczkowski"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.77.042113",
"journal_ref": "Phys. Rev A 77, 042113 (2008)",
"title": "Physical accessibility of non-completely positive maps",
"url": "https://arxiv.org/abs/quant-ph/0512167"
},
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