dorsal/arxiv
View SchemaOptimal phase measurements with pure Gaussian states
| Authors | Alex Monras |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0509018 |
| URL | https://arxiv.org/abs/quant-ph/0509018 |
| DOI | 10.1103/PhysRevA.73.033821 |
| Journal | Phys. Rev. A 73, 033821 (2006) |
Abstract
We analyze the Heisenberg limit on phase estimation for Gaussian states. In the analysis, no reference to a phase operator is made. We prove that the squeezed vacuum state is the most sensitive for a given average photon number. We provide two adaptive local measurement schemes that attain the Heisenberg limit asymptotically. One of them is described by a positive operator-valued measure and its efficiency is exhaustively explored. We also study Gaussian measurement schemes based on phase quadrature measurements. We show that homodyne tomography of the appropriate quadrature attains the Heisenberg limit for large samples. This proves that this limit can be attained with local projective Von Neuman measurements.
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"abstract": "We analyze the Heisenberg limit on phase estimation for Gaussian states. In\nthe analysis, no reference to a phase operator is made. We prove that the\nsqueezed vacuum state is the most sensitive for a given average photon number.\nWe provide two adaptive local measurement schemes that attain the Heisenberg\nlimit asymptotically. One of them is described by a positive operator-valued\nmeasure and its efficiency is exhaustively explored. We also study Gaussian\nmeasurement schemes based on phase quadrature measurements. We show that\nhomodyne tomography of the appropriate quadrature attains the Heisenberg limit\nfor large samples. This proves that this limit can be attained with local\nprojective Von Neuman measurements.",
"arxiv_id": "quant-ph/0509018",
"authors": [
"Alex Monras"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.73.033821",
"journal_ref": "Phys. Rev. A 73, 033821 (2006)",
"title": "Optimal phase measurements with pure Gaussian states",
"url": "https://arxiv.org/abs/quant-ph/0509018"
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