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We experimentally verify uncertainty relations for mixed states in the tomographic representation by measuring the radiation field tomograms, i.e. homodyne distributions. Thermal states of single-mode radiation field are discussed in…

Quantum Physics · Physics 2012-11-29 V. I. Man'ko , G. Marmo , A. Porzio , S. Solimeno , F. Ventriglia

The generation of quantum entangled states of many particles is a central goal of quantum information science. Characterizing such states is a complex task that demands exponentially large resources as particles are being added. Previously,…

Quantum Physics · Physics 2017-12-12 E. Megidish , A. Halevy , Y. Pilnyak , A. Slapa , H. S. Eisenberg

The state-extended uncertainty relations generalizing the Robertson Schrodinger inequality are presented in the form appropriate for the experimental check by homodyne photon state detection. The method of qubit portrait of qudit states…

Quantum Physics · Physics 2015-06-04 Vladimir Chernega

Different constructions for Hilbert state space for constrained systems are investigated. Properties of Gaussian states analogous to quantum mechanical Gaussian wave functions are studied. Their evolution for quadratic Hamiltonian case are…

Mathematical Physics · Physics 2008-12-31 O. Yu. Shvedov

Identification, and subsequent quantification of quantum correlations, is critical for understanding, controlling, and engineering quantum devices and processes. We derive and implement a general method to quantify various forms of quantum…

Quantum Physics · Physics 2023-02-09 Artur Barasinski , Jan Perina , Antonin Cernoch

Partial symplectic conditional and joint probability representations of quantum mechanics are considered. The correspondence rules for most interesting physical operators are found and the expressions of the dual symbols of operators are…

Quantum Physics · Physics 2024-06-12 Ya. A. Korennoy , V. I. Man'ko

We analyze the statistics of photons originating from amplified spontaneous emission generated by a quantum dot superluminescent diode. Experimentally detectable emission properties are taken into account by parametrizing the corresponding…

Quantum Physics · Physics 2015-06-23 S. Hartmann , F. Friedrich , A. Molitor , M. Reichert , W. Elsäßer , R. Walser

Determining an unknown quantum state from an ensemble of identical systems is a fundamental, yet experimentally demanding, task in quantum science. Here we study the number of measurement bases needed to fully characterize an arbitrary…

Quantum Physics · Physics 2019-02-11 Leonardo Banchi , W. Steven Kolthammer , M. S. Kim

We derive a closed photo-counting formula, including noise counts and a finite quantum efficiency, for photon number resolving detectors based on on-off detectors. It applies to detection schemes such as array detectors and multiplexing…

Quantum Physics · Physics 2015-06-04 J. Sperling , W. Vogel , G. S. Agarwal

We present a complete polarization characterization of any quantum state of two orthogonal polarization modes, and give a systematic measurement procedure to collect the necessary data. Full characterization requires measurements of the…

Quantum Physics · Physics 2015-06-11 Jonas Soderholm , Gunnar Bjork , Andrei B. Klimov , Luis L. Sanchez-Soto , Gerd Leuchs

We analyze the impact of photon loss on the photon-number statistics of Gaussian states. Specifically, we propose and carefully evaluate several methods to mitigate deviations in the photon-number distributions of lossy (displaced) squeezed…

Quantum Physics · Physics 2026-03-24 Hendrik Ellenberg , René Sondenheimer

Using entropic inequalities for Shannon entropies new inequalities for some classical polynomials are obtained. To this end, photon distribution functions for one-, two- and multi-mode squeezed states in terms of Hermite, Laguerre, Legendre…

Quantum Physics · Physics 2016-03-07 V. I. Man'ko , L. A. Markovich

Photon subtraction and addition are experimental means of generating non-Gaussian states from Gaussian states. Coherent subtraction or addition is a combination of photon subtractions or additions. The resultant states are quite general…

Quantum Physics · Physics 2012-11-27 Li-zhen Jiang , Xiao-yu Chen , Tian-yu Ye , Fang-yu Hong

We study the possibility of producing and detecting continuous variable cluster states in an optical set-up in an extremely compact fashion. This method is based on a multi-pixel homodyne detection system recently demonstrated…

Quantum Physics · Physics 2015-06-15 Giulia Ferrini , Jean-Pierre Gazeau , Thomas Coudreau , Claude Fabre , Nicolas Treps

We present a proposal and a feasibility study for the creation and quantum state tomography of a single polariton state of an atomic ensemble. The collective non-classical and non-Gaussian state of the ensemble is generated by detection of…

In this article, we investigate the efficiency of photonic state tomography in the presence of fiber attenuation. The theoretical formalism of the photon loss is provided by implementing methods from the theory of open quantum systems. The…

Quantum Physics · Physics 2022-06-22 Artur Czerwinski , Jakub Szlachetka

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…

The method of constructing the tomographic probability distributions describing quantum states in parallel with density operators is presented. Known examples of Husimi-Kano quasi-distribution and photon number tomography are reconsidered…

Quantum Physics · Physics 2009-02-23 V. I. Man'ko , G. Marmo , A. Simoni , E. C. G. Sudarshan , F. Ventriglia

In this review we present the potentialities and the achievements of the use of non-classical photon number correlations in twin beams (TWB) states for many applications, ranging from imaging to metrology. Photon number correlations in the…

Recent progress in ultrafast optics facilitates the investigation of the dynamics of highly multimode quantum states of light, as demonstrated by the application of electro-optic sampling to quantum states of the electromagnetic field. Yet,…

Quantum Physics · Physics 2025-06-13 Emanuel Hubenschmid , Guido Burkard
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