dorsal/arxiv
View SchemaA sequence of unsharp measurements enabling a real time visualization of a quantum oscillation
| Authors | Juergen Audretsch, Thomas Konrad, Artur Scherer |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0008026 |
| URL | https://arxiv.org/abs/quant-ph/0008026 |
| DOI | 10.1103/PhysRevA.63.052102 |
Abstract
The normalized state $\ket{\psi(t)}=c_1(t)\ket{1}+c_2(t)\ket{2}$ of a single two-level system performs oscillations under the influence of a resonant driving field. It is assumed that only one realization of this process is available. We show that it is possible to approximately visualize in real time the evolution of the system as far as it is given by $|c_2(t)|^2$. For this purpose we use a sequence of particular unsharp measurements separated in time. They are specified within the theory of generalized measurements in which observables are represented by positive operator valued measures (POVM). A realization of the unsharp measurements may be obtained by coupling the two-level system to a meter and performing the usual projection measurements on the meter only.
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"abstract": "The normalized state $\\ket{\\psi(t)}=c_1(t)\\ket{1}+c_2(t)\\ket{2}$ of a single\ntwo-level system performs oscillations under the influence of a resonant\ndriving field. It is assumed that only one realization of this process is\navailable. We show that it is possible to approximately visualize in real time\nthe evolution of the system as far as it is given by $|c_2(t)|^2$. For this\npurpose we use a sequence of particular unsharp measurements separated in time.\nThey are specified within the theory of generalized measurements in which\nobservables are represented by positive operator valued measures (POVM). A\nrealization of the unsharp measurements may be obtained by coupling the\ntwo-level system to a meter and performing the usual projection measurements on\nthe meter only.",
"arxiv_id": "quant-ph/0008026",
"authors": [
"Juergen Audretsch",
"Thomas Konrad",
"Artur Scherer"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.63.052102",
"title": "A sequence of unsharp measurements enabling a real time visualization of a quantum oscillation",
"url": "https://arxiv.org/abs/quant-ph/0008026"
},
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