dorsal/arxiv
View SchemaPath Integrals over Measurement Amplitudes: Practical Quantum Foundations for Signal Processing and Control
| Authors | J. A. Sidles |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0211108 |
| URL | https://arxiv.org/abs/quant-ph/0211108 |
Abstract
It is shown that classical control diagrams can be mapped one-to-one onto quantum path integrals over measurement amplitudes. To show the practical utility of this method, exact closed-form expressions are derived for the control dynamics and quantum noise levels of a test mass observed by a Fabry-Perot interferometer. This formalism provides an efficient yet rigorous method for analyzing complex systems such as interferometric gravity wave detectors and magnetic resonance force microscopy (MRFM) experiments. Quantum limits are conjectured for the sensitivity of interferometric observation of test mass trajectories.
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"abstract": "It is shown that classical control diagrams can be mapped one-to-one onto\nquantum path integrals over measurement amplitudes. To show the practical\nutility of this method, exact closed-form expressions are derived for the\ncontrol dynamics and quantum noise levels of a test mass observed by a\nFabry-Perot interferometer. This formalism provides an efficient yet rigorous\nmethod for analyzing complex systems such as interferometric gravity wave\ndetectors and magnetic resonance force microscopy (MRFM) experiments. Quantum\nlimits are conjectured for the sensitivity of interferometric observation of\ntest mass trajectories.",
"arxiv_id": "quant-ph/0211108",
"authors": [
"J. A. Sidles"
],
"categories": [
"quant-ph"
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"title": "Path Integrals over Measurement Amplitudes: Practical Quantum Foundations for Signal Processing and Control",
"url": "https://arxiv.org/abs/quant-ph/0211108"
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