dorsal/arxiv
View SchemaA Straightforward Introduction to Continuous Quantum Measurement
| Authors | Kurt Jacobs, Daniel A. Steck |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0611067 |
| URL | https://arxiv.org/abs/quant-ph/0611067 |
| DOI | 10.1080/00107510601101934 |
| Journal | Contemporary Physics 47, 279 (2006) |
Abstract
We present a pedagogical treatment of the formalism of continuous quantum measurement. Our aim is to show the reader how the equations describing such measurements are derived and manipulated in a direct manner. We also give elementary background material for those new to measurement theory, and describe further various aspects of continuous measurements that should be helpful to those wanting to use such measurements in applications. Specifically, we use the simple and direct approach of generalized measurements to derive the stochastic master equation describing the continuous measurements of observables, give a tutorial on stochastic calculus, treat multiple observers and inefficient detection, examine a general form of the measurement master equation, and show how the master equation leads to information gain and disturbance. To conclude, we give a detailed treatment of imaging the resonance fluorescence from a single atom as a concrete example of how a continuous position measurement arises in a physical system.
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"abstract": "We present a pedagogical treatment of the formalism of continuous quantum\nmeasurement. Our aim is to show the reader how the equations describing such\nmeasurements are derived and manipulated in a direct manner. We also give\nelementary background material for those new to measurement theory, and\ndescribe further various aspects of continuous measurements that should be\nhelpful to those wanting to use such measurements in applications.\nSpecifically, we use the simple and direct approach of generalized measurements\nto derive the stochastic master equation describing the continuous measurements\nof observables, give a tutorial on stochastic calculus, treat multiple\nobservers and inefficient detection, examine a general form of the measurement\nmaster equation, and show how the master equation leads to information gain and\ndisturbance. To conclude, we give a detailed treatment of imaging the resonance\nfluorescence from a single atom as a concrete example of how a continuous\nposition measurement arises in a physical system.",
"arxiv_id": "quant-ph/0611067",
"authors": [
"Kurt Jacobs",
"Daniel A. Steck"
],
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"doi": "10.1080/00107510601101934",
"journal_ref": "Contemporary Physics 47, 279 (2006)",
"title": "A Straightforward Introduction to Continuous Quantum Measurement",
"url": "https://arxiv.org/abs/quant-ph/0611067"
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