Detecting nonclassicality and non-Gaussianity by the Wigner function and quantum teleportation in photon-added-and-subtracted two modes pair coherent state

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

10.21203/rs.3.rs-529622/v1 ◽

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.

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

Quantum Information and Computation ◽

10.26421/qic3.2-2 ◽

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.

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Wigner function for the generalized excited pair coherent state

Chinese Physics B ◽

10.1088/1674-1056/17/5/040 ◽

2008 ◽

Vol 17 (5) ◽

pp. 1791-1797 ◽

Cited By ~ 14

Author(s):

Meng Xiang-Guo ◽

Wang Ji-Suo ◽

Liang Bao-Long ◽

Li Hong-Qi

Keyword(s):

Coherent State ◽

Wigner Function ◽

Pair Coherent State

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QUANTUM TELEPORTATION WITH PAIR-COHERENT STATES

International Journal of Quantum Information ◽

10.1142/s0219749907002475 ◽

2007 ◽

Vol 05 (01n02) ◽

pp. 17-22 ◽

Cited By ~ 20

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.

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