Iterative maximum-likelihood reconstruction in quantum homodyne tomography
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In this paper, an iterative expectation maximization algorithm for reconstructing the density matrix of an optical ensemble from a set of balanced homodyne measurements is proposed, which applies directly to the acquired data, bypassing the intermediate step of calculating marginal distributions.Abstract:
I propose an iterative expectation maximization algorithm for reconstructing the density matrix of an optical ensemble from a set of balanced homodyne measurements. The algorithm applies directly to the acquired data, bypassing the intermediate step of calculating marginal distributions. The advantages of the new method are made manifest by comparing it with the traditional inverse Radon transformation technique.read more
Citations
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Journal ArticleDOI
Continuous-variable optical quantum-state tomography
A. I. Lvovsky,Michael G. Raymer +1 more
TL;DR: In this paper, a review of the latest developments in continuous-variable quantum-state tomography of optical fields and photons, placing a special emphasis on its practical aspects and applications in quantum information technology, is presented.
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Generating Optical Schrödinger Kittens for Quantum Information Processing
TL;DR: A detailed experimental analysis of a free-propagating light pulse prepared in a “Schrödinger kitten” state, which is defined as a quantum superposition of “classical” coherent states with small amplitudes, providing an essential tool for quantum information processing.
Journal ArticleDOI
Generation of a superposition of odd photon number states for quantum information networks.
Jonas S. Neergaard-Nielsen,B. Melholt Nielsen,B. Melholt Nielsen,C. Hettich,C. Hettich,Klaus Mølmer,Klaus Mølmer,Eugene S. Polzik,Eugene S. Polzik +8 more
TL;DR: The experimental observation of quantum-network-compatible light described by a nonpositive Wigner function, generated by photon subtraction from a squeezed vacuum state produced by a continuous wave optical parametric amplifier, is reported on.
Journal ArticleDOI
Fisher information and entanglement of non-Gaussian spin states
Helmut Strobel,W. Muessel,Daniel Linnemann,Tilman Zibold,D. B. Hume,Luca Pezzè,Augusto Smerzi,Markus K. Oberthaler +7 more
TL;DR: A general method is developed to extract the Fisher information, which reveals that the quantum dynamics of a classically unstable system creates quantum states that are not spin squeezed but nevertheless entangled, which quantifies metrologically useful entanglement.
Journal ArticleDOI
Probing Quantum Commutation Rules by Addition and Subtraction of Single Photons to/from a Light Field
TL;DR: This work experimentally implemented simple alternated sequences of photon creation and annihilation on a thermal field and used quantum tomography to verify the peculiar character of the resulting light states, representing a step toward the full quantum control of a field.
References
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TL;DR: In this paper, the theory underpinning the measurement of density matrices of a pair of quantum two-level systems is described, and a detailed error analysis is presented, allowing errors in quantities derived from the density matrix, such as the entropy or entanglement of formation.
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Measurement of the Wigner distribution and the density matrix of a light mode using optical homodyne tomography: Application to squeezed states and the vacuum.
TL;DR: In this paper, the probability distributions of quadrature-field amplitude for both vacuum and quadraturesqueezed states of a mode of the electromagnetic field were measured using optical homodyne tomography.
Journal ArticleDOI
Determination of quasiprobability distributions in terms of probability distributions for the rotated quadrature phase
K. Vogel,Hannes Risken +1 more
TL;DR: In this article, it was shown that the probability distribution for the rotated quadrature phase can be expressed in terms of quasiprobability distributions such as P, Q, and Wigner functions.
Proceedings Article
Measurement of the Wigner distribution and the density matrix of a light mode by using optical homodyne tomography: application to squeezed states and vacuum
TL;DR: From measurements of quadrature-field amplitude, the technique of optical homodyne tomography is demonstrated to determine the Wigner distribution and the density matrix of the mode, providing a complete quantum mechanical characterization of the measured mode.
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