An effective method to estimate multidimensional Gaussian states
arXiv:0902.0823 · doi:10.1103/PhysRevA.79.032111
Abstract
A simple and efficient method for characterization of multidimensional Gaussian states is suggested and experimentally demonstrated. Our scheme shows analogies with tomography of finite dimensional quantum states, with the covariance matrix playing the role of the density matrix and homodyne detection providing Stern-Gerlach-like projections. The major difference stems from a different character of relevant noises: while the statistics of Stern-Gerlach-like measurements is governed by binomial statistics, the detection of quadrature variances correspond to chi-square statistics. For Gaussian and near Gaussian states the suggested method provides, compared to standard tomography techniques, more stable and reliable reconstructions. In addition, by putting together reconstruction methods for Gaussian and arbitrary states, we obtain a tool to detect the non-Gaussian character of optical signals.
8 pages, 5 fis, accepted for publication on PRA
References in corpus (11)
- Quantum state reconstruction of the single-photon Fock state
- Generation of a superposition of odd photon number states for quantum information networks
- Non-gaussian statistics from individual pulses of squeezed light
- Quantum homodyne tomography of a two-photon Fock state
- Quantum Tomography
- Quantifying the non-Gaussian character of a quantum state by quantum relative entropy
- Diluted maximum-likelihood algorithm for quantum tomography
- A measure of the non-Gaussian character of a quantum state
- Full characterization of Gaussian bipartite entangled states by a single homodyne detector
- Biased tomography schemes: an objective approach
- Characterization of bipartite states using a single homodyne detector
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