dorsal/arxiv
View SchemaControl Theoretical Approach to Quantum Control
| Authors | M. Yanagisawa |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0408160 |
| URL | https://arxiv.org/abs/quant-ph/0408160 |
Abstract
We derive the quantum stochastic master equation for bosonic systems without measurement theory but control theory. It is shown that the quantum effect of the measurement can be represented as the correlation between dynamical and measurement noise. The transfer function representation allows us to analyze a dynamical uncertainty relation which imposes strong constraints on the dynamics of the linear quantum systems. In particular, quantum systems preserving the minimum uncertainty are uniquely determined. For large spin systems, it is shown that local dynamics are equivalent to bosonic systems. Considering global behavior, we find quantum effects to which there is no classical counterparts. A control problem of producing maximal entanglement is discussed as the stabilization of a filtering process.
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"abstract": "We derive the quantum stochastic master equation for bosonic systems without\nmeasurement theory but control theory. It is shown that the quantum effect of\nthe measurement can be represented as the correlation between dynamical and\nmeasurement noise. The transfer function representation allows us to analyze a\ndynamical uncertainty relation which imposes strong constraints on the dynamics\nof the linear quantum systems. In particular, quantum systems preserving the\nminimum uncertainty are uniquely determined. For large spin systems, it is\nshown that local dynamics are equivalent to bosonic systems. Considering global\nbehavior, we find quantum effects to which there is no classical counterparts.\nA control problem of producing maximal entanglement is discussed as the\nstabilization of a filtering process.",
"arxiv_id": "quant-ph/0408160",
"authors": [
"M. Yanagisawa"
],
"categories": [
"quant-ph"
],
"title": "Control Theoretical Approach to Quantum Control",
"url": "https://arxiv.org/abs/quant-ph/0408160"
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