dorsal/arxiv
View SchemaMeasurements of Nondegenerate Discrete Observables
| Authors | Masanao Ozawa |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0003033 |
| URL | https://arxiv.org/abs/quant-ph/0003033 |
| DOI | 10.1103/PhysRevA.62.062101 |
| Journal | Phys. Rev. A 62 (2000) 062101 |
Abstract
Every measurement on a quantum system causes a state change from the system state just before the measurement to the system state just after the measurement conditional upon the outcome of measurement. This paper determines all the possible conditional state changes caused by measurements of nondegenerate discrete observables. For this purpose, the following conditions are shown to be equivalent for measurements of nondegenerate discrete observables: (i) The joint probability distribution of the outcomes of successive measurements depends affinely on the initial state. (ii) The apparatus has an indirect measurement model. (iii) The state change is described by a positive superoperator valued measure. (iv) The state change is described by a completely positive superoperator valued measure. (v) The output state is independent of the input state and the family of output states can be arbitrarily chosen by the choice of the apparatus. The implications to the measurement problem are discussed briefly.
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"abstract": "Every measurement on a quantum system causes a state change from the system\nstate just before the measurement to the system state just after the\nmeasurement conditional upon the outcome of measurement. This paper determines\nall the possible conditional state changes caused by measurements of\nnondegenerate discrete observables. For this purpose, the following conditions\nare shown to be equivalent for measurements of nondegenerate discrete\nobservables: (i) The joint probability distribution of the outcomes of\nsuccessive measurements depends affinely on the initial state. (ii) The\napparatus has an indirect measurement model. (iii) The state change is\ndescribed by a positive superoperator valued measure. (iv) The state change is\ndescribed by a completely positive superoperator valued measure. (v) The output\nstate is independent of the input state and the family of output states can be\narbitrarily chosen by the choice of the apparatus. The implications to the\nmeasurement problem are discussed briefly.",
"arxiv_id": "quant-ph/0003033",
"authors": [
"Masanao Ozawa"
],
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"quant-ph"
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"doi": "10.1103/PhysRevA.62.062101",
"journal_ref": "Phys. Rev. A 62 (2000) 062101",
"title": "Measurements of Nondegenerate Discrete Observables",
"url": "https://arxiv.org/abs/quant-ph/0003033"
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