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Completely positive quantum operations are frequently discussed in the contexts of statistical mechanics and quantum information. They are customarily given by maps forming positive operator-values measures. To intuitively understand…

Statistical Mechanics · Physics 2015-01-23 Sumiyoshi Abe , Yasuyuki Matsuo

In this paper we study the application of four-mode squeezed states in the cosmological context, studying two weakly coupled scalar fields in the planar patch of the de Sitter space. We construct the four-mode squeezed state formalism and…

General Relativity and Quantum Cosmology · Physics 2022-12-13 Sayantan Choudhury , Sudhakar Panda , Nilesh Pandey , Abhishek Roy

Analysis of the effects of decoherence on the radiative and squeezing properties of a coherently driven two-level atom trapped in a resonant cavity applying the corresponding master equation is presented. The atomic dynamics as well as the…

Quantum Physics · Physics 2009-11-13 Sintayehu Tesfa

Non-Gaussian operations are essential to exploit the quantum advantages in optical continuous variable quantum information protocols. We focus on mode-selective photon addition and subtraction as experimentally promising processes to create…

Quantum Physics · Physics 2017-11-08 Mattia Walschaers , Claude Fabre , Valentina Parigi , Nicolas Treps

Heralding, which is often used for preparing quantum optical states, is studied to determine the effects of the spatiotemporal properties of the process. Incorporating all the spatiotemporal degrees of freedom, we follow a Wigner functional…

Quantum Physics · Physics 2024-04-09 Filippus S. Roux

We experimentally verify the quantum non-Gaussian character of a conditionally generated noisy squeezed single-photon state with positive Wigner function. Employing an optimized witness based on probabilities of squeezed vacuum and squeezed…

Quantum Physics · Physics 2013-05-30 M. Jezek , A. Tipsmark , R. Dong , J. Fiurasek , L. Mista , R. Filip , U. L. Andersen

The state of a microscopic system encodes its complete quantum description, from which the probabilities of all measurement outcomes are inferred. Being a statistical concept, the state cannot be obtained from a single system realization.…

In this thesis concrete quantum systems are investigated in the framework of the environment induced decoherence. The focus is on the dynamics of highly nonclassical quantum states, the Wigner function of which are negative over some…

Quantum Physics · Physics 2007-05-23 Peter Foldi

We apply the Wigner function formalism to partial Bell-state analysis using polarization entanglement produced in parametric down conversion. Two-photon statistics at a beam-splitter are reproduced by a wavelike description with zeropoint…

Quantum Physics · Physics 2011-06-24 A. Casado , S. Guerra , J. Plácido

Much of the discussion of decoherence has been in terms of a particle moving in one dimension that is placed in an initial superposition state (a Schr\"{o}dinger "cat" state) corresponding to two widely separated wave packets. Decoherence…

Quantum Physics · Physics 2007-05-23 M. Murakami , G. W. Ford , R. F. O'Connell

We introduce sum-frequency generation (SFG) as an effective physical two-photon detector for high power two-mode squeezed coherent states with arbitrary frequency separation, as produced by parametric oscillators well above the threshold.…

Optics · Physics 2013-10-30 Faina Shikerman , Avi Pe'er

For N-mode light described by the Wigner function of generic Gaussian form the photon distribution function is obtained explicitly and expressed in terms of Hermite polynomial of $2N$ variables with equal pairs of indices.The mean values…

High Energy Physics - Theory · Physics 2009-10-22 V. V. Dodonov , O. V. Man'ko , V. I. Man'ko

The effects of squeezed photons and thermal photons on the entanglement dynamics of atom-atom, atom-field and field-field subsystems are studied for the double Jaynes-Cummings model. For this purpose, squeezed coherent states and…

Quantum Physics · Physics 2024-03-25 Koushik Mandal , Chandrashekar Radhakrishnan , M. V. Satyanarayana

We study the harmonic entanglement and squeezing in a two-mode radiation produced in a degenerate parametric down conversion process coupled to a two-mode vacuum reservoir employing the linearization procedure. It is found that there is a…

Quantum Physics · Physics 2007-07-26 Sintayehu Tesfa

In this paper we investigate the quantum phase properties for the coherent superposition states (Schr\"odinger-cat states) for two-mode multiphoton Jaynes-Cummings model in the framework of the Pegg-Barnett formalism. We also demonstrate…

Quantum Physics · Physics 2015-05-13 Faisal A. A. El-Orany , M. H. Mahran , M. R. B. Wahiddin , A. M. Hashim

We investigate the conditions of entanglement for a system of two atoms and two photon modes in vacuum, using the Jaynes-Cummings model in the rotating-wave approximation. It is found, by generalizing the existing results, that the strength…

Quantum Physics · Physics 2016-06-27 Samina S. Masood , Allen Miller

Decoherence remains one of the most serious challenges to the implementation of quantum technology. It appears as a result of the transformation over time of a quantum superposition state into a classical mixture due to the quantum system…

Optics · Physics 2021-07-28 Fu Li , Tian Li , Girish S. Agarwal

In previous articles we have developed a theory of down conversion in nonlinear crystals, based on the Wigner representation of the radiation field. Taking advantage of the fact that the Wigner function is always positive in parametric down…

Quantum Physics · Physics 2007-05-23 Alberto Casado , Trevor Marshall , Ramon Risco-Delgado , Emilio Santos

We study the properties of the discrete Wigner distribution for two qubits introduced by Wotters. In particular, we analyze the entanglement properties within the Wigner distribution picture by considering the negativity of the Wigner…

Quantum Physics · Physics 2009-11-11 R. Franco , V. Penna

We show that if the Wigner function of a (possibly mixed) quantum state decays toward infinity faster than any polynomial in the phase space variables $x$ and $p$, then so do all of its derivatives, i.e., it is a Schwartz function on phase…

Quantum Physics · Physics 2022-02-18 Felipe Hernandez , C. Jess Riedel
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