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.

Entanglement and nonlocality for a mixture of a pair-coherent state

2003 ◽  
Vol 3 (2) ◽  
pp. 106-115
Author(s):  
S. Mancini ◽  
P. Tombesi
Keyword(s):  
Coherent State ◽  
Quantum Teleportation ◽  
Single Photon ◽  
Continuous Variables ◽  
Bell’S Inequalities ◽  
Nonclassical Properties ◽  
Pair Coherent State ◽  
Photon Loss ◽  
Phase Randomization ◽  
Degree Of Entanglement

We consider a bipartite continuous variables quantum mixture coming from phase randomization of a pair-coherent state. We study the nonclassical properties of such a mixture. In particular, we quantify its degree of entanglement, then we show possible violations of Bell's inequalities. We also consider the use of this mixture in quantum teleportation. Finally, we compare this mixture with that obtained from a pair-coherent state by single photon loss.

Wigner function for the generalized excited pair coherent state

2008 ◽  
Vol 17 (5) ◽  
pp. 1791-1797 ◽  
Author(s):  
Meng Xiang-Guo ◽  
Wang Ji-Suo ◽  
Liang Bao-Long ◽  
Li Hong-Qi
Keyword(s):  
Coherent State ◽  
Wigner Function ◽  
Pair Coherent State

MULTIPARTITE COHERENT ENTANGLED STATE OF CONTINUOUS VARIABLES: STRUCTURE AND GENERATION

2009 ◽  
Vol 24 (14) ◽  
pp. 2689-2701 ◽  
Author(s):  
LI-YUN HU ◽  
HONG-YI FAN
Keyword(s):  
Wigner Function ◽  
Quantum Teleportation ◽  
Entangled State ◽  
Entangled State Representation ◽  
Continuous Variables ◽  
State Representation ◽  
New Approach ◽  
Beam Splitters ◽  
Multipartite Entangled State

Motivated by the new approach to finding multipartite entangled state representation [Int. J. Mod. Phys. A22, 4481 (2007)], we construct the multipartite coherent entangled state (MCES) of continuous variables which exhibits both coherent state's and entangled state's properties. A protocol of generating such an MCES is proposed by using beam splitters in a sequence. Applications of MCES in studying generalized Wigner function, squeezing and quantum teleportation are discussed.

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 QUANTUM TELEPORTATION WITH PAIR-COHERENT STATES

2007 ◽  
Vol 05 (01n02) ◽  
pp. 17-22 ◽  
Author(s):  
AURÉL GÁBRIS ◽  
GIRISH S. AGARWAL
Keyword(s):  
Coherent State ◽  
Quantum Teleportation ◽  
Coherent States ◽  
Continuous Variable ◽  
Quantum Mechanical ◽  
Variable Theory ◽  
Hidden Variable ◽  
Mechanical Explanation ◽  
Pair Coherent State ◽  
Local Hidden Variable

Recently, it has been argued that all presently performed continuous variable quantum teleportation experiments could be explained using a local hidden variable theory. In this paper, we study a modification of the original protocol which requires a fully quantum mechanical explanation even when coherent states are teleported. Our calculations of the fidelity of teleportation using a pair-coherent state under ideal conditions suggest that fidelity above the required limit of 1/2 may be achievable in an experiment also.

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.

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