dorsal/arxiv
View SchemaUncertainty characteristics of generalized quantum measurements
| Authors | Holger F. Hofmann |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0209162 |
| URL | https://arxiv.org/abs/quant-ph/0209162 |
| DOI | 10.1103/PhysRevA.67.022106 |
| Journal | Phys. Rev. A 67, 022106 (2003) |
Abstract
The effects of any quantum measurement can be described by a collection of measurement operators {M_m} acting on the quantum state of the measured system. However, the Hilbert space formalism tends to obscure the relationship between the measurement results and the physical properties of the measured system. In this paper, a characterization of measurement operators in terms of measurement resolution and disturbance is developed. It is then possible to formulate uncertainty relations for the measurement process that are valid for arbitrary input states. The motivation of these concepts is explained from a quantum communication viewpoint. It is shown that the intuitive interpretation of uncertainty as a relation between measurement resolution and disturbance provides a valid description of measurement back action. Possible applications to quantum cryptography, quantum cloning, and teleportation are discussed.
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"abstract": "The effects of any quantum measurement can be described by a collection of\nmeasurement operators {M_m} acting on the quantum state of the measured system.\nHowever, the Hilbert space formalism tends to obscure the relationship between\nthe measurement results and the physical properties of the measured system. In\nthis paper, a characterization of measurement operators in terms of measurement\nresolution and disturbance is developed. It is then possible to formulate\nuncertainty relations for the measurement process that are valid for arbitrary\ninput states. The motivation of these concepts is explained from a quantum\ncommunication viewpoint. It is shown that the intuitive interpretation of\nuncertainty as a relation between measurement resolution and disturbance\nprovides a valid description of measurement back action. Possible applications\nto quantum cryptography, quantum cloning, and teleportation are discussed.",
"arxiv_id": "quant-ph/0209162",
"authors": [
"Holger F. Hofmann"
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"doi": "10.1103/PhysRevA.67.022106",
"journal_ref": "Phys. Rev. A 67, 022106 (2003)",
"title": "Uncertainty characteristics of generalized quantum measurements",
"url": "https://arxiv.org/abs/quant-ph/0209162"
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