dorsal/arxiv
View SchemaDirect sampling of exponential phase moments of smoothed Wigner functions
| Authors | Jaromir Fiurasek |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0005120 |
| URL | https://arxiv.org/abs/quant-ph/0005120 |
| DOI | 10.1103/PhysRevA.62.013822 |
Abstract
We investigate exponential phase moments of the s-parametrized quasidistributions (smoothed Wigner functions). We show that the knowledge of these moments as functions of s provides, together with photon-number statistics, a complete description of the quantum state. We demonstrate that the exponential phase moments can be directly sampled from the data recorded in balanced homodyne detection and we present simple expressions for the sampling kernels. The phase moments are Fourier coefficients of phase distributions obtained from the quasidistributions via integration over the radial variable in polar coordinates. We performed Monte Carlo simulations of the homodyne detection and we demonstrate the feasibility of direct sampling of the moments and subsequent reconstruction of the phase distribution.
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"abstract": "We investigate exponential phase moments of the s-parametrized\nquasidistributions (smoothed Wigner functions). We show that the knowledge of\nthese moments as functions of s provides, together with photon-number\nstatistics, a complete description of the quantum state. We demonstrate that\nthe exponential phase moments can be directly sampled from the data recorded in\nbalanced homodyne detection and we present simple expressions for the sampling\nkernels. The phase moments are Fourier coefficients of phase distributions\nobtained from the quasidistributions via integration over the radial variable\nin polar coordinates. We performed Monte Carlo simulations of the homodyne\ndetection and we demonstrate the feasibility of direct sampling of the moments\nand subsequent reconstruction of the phase distribution.",
"arxiv_id": "quant-ph/0005120",
"authors": [
"Jaromir Fiurasek"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.62.013822",
"title": "Direct sampling of exponential phase moments of smoothed Wigner functions",
"url": "https://arxiv.org/abs/quant-ph/0005120"
},
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