dorsal/arxiv
View SchemaCharacterisation of an entanglement-free evolution
| Authors | Thomas Durt |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0109112 |
| URL | https://arxiv.org/abs/quant-ph/0109112 |
Abstract
Two or more quantum systems are said to be in an entangled or non-factorisable state if their joint (supposedly pure) wave-function is not expressible as a product of individual wave functions but is instead a superposition of product states. It is only when the systems are in a factorisable state that they can be considered to be separated (in the sense of Bell). We show that whenever two quantum systems interact with each other, it is impossible that all factorisable states remain factorisable during the interaction unless the full Hamiltonian does not couple these systems so to say unless they do not really interact. We also present certain conditions under which particular factorisable states remain factorisable although they represent a bipartite system whose components mutually interact and pay a particular attention to the case where the two particles interact mutually through an action at a distance in the three dimensional space.
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"abstract": "Two or more quantum systems are said to be in an entangled or\nnon-factorisable state if their joint (supposedly pure) wave-function is not\nexpressible as a product of individual wave functions but is instead a\nsuperposition of product states. It is only when the systems are in a\nfactorisable state that they can be considered to be separated (in the sense of\nBell). We show that whenever two quantum systems interact with each other, it\nis impossible that all factorisable states remain factorisable during the\ninteraction unless the full Hamiltonian does not couple these systems so to say\nunless they do not really interact. We also present certain conditions under\nwhich particular factorisable states remain factorisable although they\nrepresent a bipartite system whose components mutually interact and pay a\nparticular attention to the case where the two particles interact mutually\nthrough an action at a distance in the three dimensional space.",
"arxiv_id": "quant-ph/0109112",
"authors": [
"Thomas Durt"
],
"categories": [
"quant-ph"
],
"title": "Characterisation of an entanglement-free evolution",
"url": "https://arxiv.org/abs/quant-ph/0109112"
},
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