dorsal/arxiv
View SchemaConceptual Inadequacy of the Shannon Information in Quantum Measurements
| Authors | Caslav Brukner, Anton Zeilinger |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0006087 |
| URL | https://arxiv.org/abs/quant-ph/0006087 |
| DOI | 10.1103/PhysRevA.63.022113 |
| Journal | Phys.Rev.A63:022113,2001 |
Abstract
In a classical measurement the Shannon information is a natural measure of our ignorance about properties of a system. There, observation removes that ignorance in revealing properties of the system which can be considered to preexist prior to and independent of observation. Because of the completely different root of a quantum measurement as compared to a classical measurement conceptual difficulties arise when we try to define the information gain in a quantum measurement using the notion of Shannon information. The reason is that, in contrast to classical measurement, quantum measurement, with very few exceptions, cannot be claimed to reveal a property of the individual quantum system existing before the measurement is performed.
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"abstract": "In a classical measurement the Shannon information is a natural measure of\nour ignorance about properties of a system. There, observation removes that\nignorance in revealing properties of the system which can be considered to\npreexist prior to and independent of observation. Because of the completely\ndifferent root of a quantum measurement as compared to a classical measurement\nconceptual difficulties arise when we try to define the information gain in a\nquantum measurement using the notion of Shannon information. The reason is\nthat, in contrast to classical measurement, quantum measurement, with very few\nexceptions, cannot be claimed to reveal a property of the individual quantum\nsystem existing before the measurement is performed.",
"arxiv_id": "quant-ph/0006087",
"authors": [
"Caslav Brukner",
"Anton Zeilinger"
],
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"quant-ph"
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"doi": "10.1103/PhysRevA.63.022113",
"journal_ref": "Phys.Rev.A63:022113,2001",
"title": "Conceptual Inadequacy of the Shannon Information in Quantum Measurements",
"url": "https://arxiv.org/abs/quant-ph/0006087"
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