scholarly journals Non-Gaussian Entanglement and Wigner Function

2020 ◽  
Author(s):  
Mustapha Ziane ◽  
Morad El Baz
Keyword(s):  
Wigner Function ◽  
Non Gaussian

WIGNER FUNCTION EVOLUTION OF EXCITED EVEN AND ODD COHERENT STATE IN THERMAL ENVIRONMENT VIA THERMO ENTANGLED APPROACH

2013 ◽  
Vol 27 (23) ◽  
pp. 1350120 ◽  
Author(s):  
HONG-CHUN YUAN ◽  
YE-JUN XU ◽  
LEI CHEN ◽  
XUE-FEN XU
Keyword(s):  
Coherent State ◽  
Wigner Function ◽  
Decay Time ◽  
Arbitrary Number ◽  
Coherent States ◽  
Density Operator ◽  
Thermal Environment ◽  
New Approach ◽  
Non Gaussian ◽  
Analytical Expressions

We adopt a new approach, thermo entangled representation, to study time evolution of density operator in thermal environment. We then investigate the analytical expressions of Wigner function (WF) evolution of arbitrary number excited coherent states (ECSs) and excited even (odd) coherent states (EECSs, EOCSs) in thermal environment, respectively. In addition, their nonclassicality is numerically discussed by exploring the negativity of WF with decay time in thermal channel, respectively. It is found that WF loses its non-Gaussian nature and becomes Gaussian after long times.

scholarly journals Detecting Nonclassicality and Non-gaussianity by the Wigner Function and Quantum Teleportation in Photon-added-and-subtracted Two Modes Pair Coherent State

2021 ◽  
Author(s):  
Minh Duc Truong ◽  
Chuong Sy Ho ◽  
Dat Quang Tran
Keyword(s):  
Coherent State ◽  
Wigner Function ◽  
Phase Difference ◽  
Quantum Teleportation ◽  
Entangled State ◽  
Pair Coherent State ◽  
Non Gaussian ◽  
Degree Of Entanglement

Abstract We introduce a new state called photon-added-and-subtracted two modes pair coherent state (PAASTMPCS) by simultaneously adding and subtracting photons to the different modes of a pair coherent state. Its nonclassical and non-Gaussian properties are strengthened via the negative values of its Wigner function as the numbers of adding and subtracting photons are increased. It indicates that the PAASTMPCS is an entangled state. When increasing the numbers of photon-added and photon-subtracted to a pair coherent state, the degree of entanglement in the PAASTMPCS is enhanced compared with the original pair coherent state. By using a PAASTMPCS as a non-Gaussian entangled resource, the quantum teleportation processes are studied in detail. It is shown that the number sum and phase difference measurements protocol is more appropriate than the orthogonal quadrature components measurements protocol in the quantum teleportation process of a coherent state.

scholarly journals EXPERIMENTAL QUANTIFICATION OF NON-GAUSSIANITY OF PHASE-RANDOMIZED COHERENT STATES

2012 ◽  
Vol 10 (08) ◽  
pp. 1241006 ◽  
Author(s):  
ALESSIA ALLEVI ◽  
STEFANO OLIVARES ◽  
MARIA BONDANI
Keyword(s):  
Experimental Investigation ◽  
Wigner Function ◽  
Coherent States ◽  
The Other ◽  
Fock States ◽  
Two Measures ◽  
Non Gaussian

We present the experimental investigation of the non-Gaussian nature of some mixtures of Fock states by reconstructing their Wigner function and exploiting two recently introduced measures of non-Gaussianity. In particular, we demonstrate the consistency between the different approaches and the monotonicity of the two measures for states belonging to the class of phase-randomized coherent states. Moreover, we prove that the exact behavior of one measure with respect to the other depends on the states under investigation and devise possible criteria to discriminate which measure is more useful for the characterization of the states in realistic applications.

Orthogonal state of coherent state based on Hermite-excited superposition operator: Production and Wigner function

2019 ◽  
Vol 33 (26) ◽  
pp. 1950320 ◽  
Author(s):  
Jian-Ming Wang ◽  
Zu-Jian Wang ◽  
Hong-Chun Yuan ◽  
Xue-Xiang Xu
Keyword(s):  
Coherent State ◽  
Wigner Function ◽  
Numerical Results ◽  
Interaction Parameters ◽  
Superposition Operator ◽  
Wigner Functions ◽  
Orthogonal State ◽  
Non Gaussian ◽  
Analytical Expressions

An orthogonal state of coherent state is produced by applying an orthogonalizer related with Hermite-excited superposition operator [Formula: see text]. Using some technique, we cleverly deal with the normalization and discuss the nonclassical and non-Gaussian characters of the orthogonal state. The analytical expressions for the Wigner functions of the orthogonal state are derived in detail. Numerical results show that the orthogonal state will exhibit its richly nonclassical and non-Gaussian character by changing the interaction parameters.

scholarly journals Entanglement and Wigner Function Negativity of Multimode Non-Gaussian States

2017 ◽  
Vol 119 (18) ◽  
Author(s):  
Mattia Walschaers ◽  
Claude Fabre ◽  
Valentina Parigi ◽  
Nicolas Treps
Keyword(s):  
Wigner Function ◽  
Gaussian States ◽  
Non Gaussian

scholarly journals Non-classical properties and generation schemes of superposition of multiple-photon-added two-mode squeezed vacuum state

2021 ◽  
Vol 130 (1B) ◽  
pp. 5-12
Author(s):  
Tran Quang Dat ◽  
Truong Minh Thang ◽  
Truong Minh Duc
Keyword(s):  
Wigner Function ◽  
Vacuum State ◽  
Optical Devices ◽  
Higher Order ◽  
Gaussian State ◽  
Squeezed Vacuum State ◽  
Squeezed Vacuum ◽  
The Difference ◽  
Non Gaussian ◽  
Usual Order

In this paper, we study some non-classical properties and propose the generation schemes of the superposition of multiple-photon-added two-mode squeezed vacuum state (SMPA-TMSVS). Based on the   Wigner function, we clarify that this state is a non-Gaussian state, while the original two-mode squeezed vacuum state (TMSVS) is a Gaussian state. Besides, the SMPA-TMSVS is sum squeezing, as well as difference squeezing. In particular, the manifestation of the sum squeezing and the difference squeezing in the SMPA-TMSVS becomes more pronounced when increasing parameters r and e. In addition, by exploiting the schemes of photon-added superposition in the usual order, we give some schemes that the SMPA-TMSVS can be generated with the higher-order photon-added superposition by using some optical devices.

PHOTON-NUMBER CORRELATION OF A CLASSICAL EXOTIC STATE IN THE MESOSCOPIC REGIME

2011 ◽  
Vol 09 (supp01) ◽  
pp. 103-110 ◽  
Author(s):  
ALESSIA ALLEVI ◽  
FEDERICA A. BEDUINI ◽  
MARIA BONDANI ◽  
ALESSANDRA ANDREONI
Keyword(s):  
Quantum Information ◽  
Correlation Coefficient ◽  
Wigner Function ◽  
Photon Number ◽  
Exotic State ◽  
Classical State ◽  
Theoretical Predictions ◽  
Non Gaussian ◽  
Good Agreement

We demonstrate that by using a pair of hybrid photodetectors, it is possible to quantify the photon-number correlation coefficient between the components of a classical state described by non-trivial statistics and by a non-Gaussian Wigner function. The measurements, performed in the quite unexplored mesoscopic domain (up to 100 photons incident onto the detector), are in good agreement with the theoretical predictions, and thus open the possibility of performing further tests on this exotic state for its application in the field of quantum information.

scholarly journals Generation of plasmon-polaritons in epsilon-near-zero polaritonic metamaterial

2021 ◽  
Vol 130 (1B) ◽  
pp. 35-41
Author(s):  
Nguyen Pham Quynh Anh
Keyword(s):  
Wigner Function ◽  
Vacuum State ◽  
Optical Devices ◽  
Gaussian State ◽  
Squeezed Vacuum State ◽  
Squeezed Vacuum ◽  
The Difference ◽  
Non Gaussian ◽  
Plasmon Polaritons ◽  
Usual Order

In this paper, we study some non-classical properties and propose the generation schemes of the superposition of multiple-photon-added two-mode squeezed vacuum state (SMPA-TMSVS). Based on the   Wigner function, we clarify that this state is a non-Gaussian state, while the original two-mode squeezed vacuum state (TMSVS) is a Gaussian state. Besides, the SMPA-TMSVS is sum squeezing, as well as difference squeezing. In particular, the manifestation of the sum squeezing and the difference squeezing in the SMPA-TMSVS becomes more pronounced when increasing parameters r and e. In addition, by exploiting the schemes of photon-added superposition in the usual order, we give some schemes that the SMPA-TMSVS can be generated with the higher-order photon-added superposition by using some optical devices.

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