dorsal/arxiv
View SchemaIncoherent control and entanglement for two-dimensional coupled systems
| Authors | R. Romano, D. D'Alessandro |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0510020 |
| URL | https://arxiv.org/abs/quant-ph/0510020 |
| DOI | 10.1117/12.664735 |
| Journal | Phys. Rev. A 73, 022323 (2006) |
Abstract
We investigate accessibility and controllability of a quantum system S coupled to a quantum probe P, both described by two-dimensional Hilbert spaces, under the hypothesis that the external control affects only P. In this context accessibility and controllability properties describe to what extent it is possible to drive the state of the system S by acting on P and using the interaction between the two systems. We give necessary and sufficient conditions for these properties and we discuss the relation with the entangling capability of the interaction between S and P. In particular, we show that controllability can be expressed in terms of the SWAP operator, acting on the composite system, and its square root.
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"abstract": "We investigate accessibility and controllability of a quantum system S\ncoupled to a quantum probe P, both described by two-dimensional Hilbert spaces,\nunder the hypothesis that the external control affects only P. In this context\naccessibility and controllability properties describe to what extent it is\npossible to drive the state of the system S by acting on P and using the\ninteraction between the two systems. We give necessary and sufficient\nconditions for these properties and we discuss the relation with the entangling\ncapability of the interaction between S and P. In particular, we show that\ncontrollability can be expressed in terms of the SWAP operator, acting on the\ncomposite system, and its square root.",
"arxiv_id": "quant-ph/0510020",
"authors": [
"R. Romano",
"D. D\u0027Alessandro"
],
"categories": [
"quant-ph"
],
"doi": "10.1117/12.664735",
"journal_ref": "Phys. Rev. A 73, 022323 (2006)",
"title": "Incoherent control and entanglement for two-dimensional coupled systems",
"url": "https://arxiv.org/abs/quant-ph/0510020"
},
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