dorsal/arxiv
View SchemaUniversally valid reformulation of the Heisenberg uncertainty principle on noise and disturbance in measurement
| Authors | Masanao Ozawa |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0207121 |
| URL | https://arxiv.org/abs/quant-ph/0207121 |
| DOI | 10.1103/PhysRevA.67.042105 |
| Journal | Phys. Rev. A 67, 042105-(1--6) (2003). |
Abstract
The Heisenberg uncertainty principle states that the product of the noise in a position measurement and the momentum disturbance caused by that measurement should be no less than the limit set by Planck's constant, hbar/2, as demonstrated by Heisenberg's thought experiment using a gamma-ray microscope. Here I show that this common assumption is false: a universally valid trade-off relation between the noise and the disturbance has an additional correlation term, which is redundant when the intervention brought by the measurement is independent of the measured object, but which allows the noise-disturbance product much below Planck's constant when the intervention is dependent. A model of measuring interaction with dependent intervention shows that Heisenberg's lower bound for the noise-disturbance product is violated even by a nearly nondisturbing, precise position measuring instrument. An experimental implementation is also proposed to realize the above model in the context of optical quadrature measurement with currently available linear optical devices.
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"abstract": "The Heisenberg uncertainty principle states that the product of the noise in\na position measurement and the momentum disturbance caused by that measurement\nshould be no less than the limit set by Planck\u0027s constant, hbar/2, as\ndemonstrated by Heisenberg\u0027s thought experiment using a gamma-ray microscope.\nHere I show that this common assumption is false: a universally valid trade-off\nrelation between the noise and the disturbance has an additional correlation\nterm, which is redundant when the intervention brought by the measurement is\nindependent of the measured object, but which allows the noise-disturbance\nproduct much below Planck\u0027s constant when the intervention is dependent. A\nmodel of measuring interaction with dependent intervention shows that\nHeisenberg\u0027s lower bound for the noise-disturbance product is violated even by\na nearly nondisturbing, precise position measuring instrument. An experimental\nimplementation is also proposed to realize the above model in the context of\noptical quadrature measurement with currently available linear optical devices.",
"arxiv_id": "quant-ph/0207121",
"authors": [
"Masanao Ozawa"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.67.042105",
"journal_ref": "Phys. Rev. A 67, 042105-(1--6) (2003).",
"title": "Universally valid reformulation of the Heisenberg uncertainty principle on noise and disturbance in measurement",
"url": "https://arxiv.org/abs/quant-ph/0207121"
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