scholarly journals Entanglement of a class of non-Gaussian states in disordered harmonic oscillator systems

2018 ◽  
Vol 59 (3) ◽  
pp. 031904 ◽  
Author(s):  
Houssam Abdul-Rahman
Keyword(s):  
Harmonic Oscillator ◽  
Gaussian States ◽  
Non Gaussian

Teleportation improvement by noiseless linear amplification

2019 ◽  
Vol 19 (11&12) ◽  
pp. 935-951
Author(s):  
Hamza Adnane ◽  
Matteo G.A. Paris
Keyword(s):  
Coherent States ◽  
Large Range ◽  
Low Energy ◽  
Entangled State ◽  
Continuous Variables ◽  
Linear Amplification ◽  
Gaussian States ◽  
Linear Amplifier ◽  
Twin Beam ◽  
Non Gaussian

We address de-Gaussification of continuous variables Gaussian states by optimal non-deterministic noiseless linear amplifier (NLA) and analyze in details the properties of the amplified states. In particular, we investigate the entanglement content and the non-Gaussian character for the class of non-Gaussian entangled state obtained by using NL-amplification of two-mode squeezed vacua (twin-beam, TWB). We show that entanglement always increases, whereas improved EPR correlations are observed only when the input TWB has low energy. We then examine a Braunstein-Kimble-like protocol for the teleportation of coherent states, and compare the performances of TWB-based teleprotation with those obtained using NL-amplified resources. We show that teleportation fidelity and security may be improved for a large range of NLA parameters (gain and threshold).

Quantum algebras and parity-dependent spectra

2007 ◽  
Vol 463 (2086) ◽  
pp. 2415-2427 ◽  
Author(s):  
C.V Sukumar ◽  
Andrew Hodges
Keyword(s):  
Quantum Optics ◽  
Harmonic Oscillator ◽  
Combinatorial Theory ◽  
Squeezed States ◽  
Quantum Algebras ◽  
Matrix Elements ◽  
Euler Numbers ◽  
Simple Harmonic Oscillator ◽  
Non Gaussian ◽  
Special Case

We study the structure of a quantum algebra in which a parity-violating term modifies the standard commutation relation between the creation and annihilation operators of the simple harmonic oscillator. We discuss several useful applications of the modified algebra. We show that the Bernoulli and Euler numbers arise naturally in a special case. We also show a connection with Gaussian and non-Gaussian squeezed states of the simple harmonic oscillator. Such states have been considered in quantum optics. The combinatorial theory of Bernoulli and Euler numbers is developed and used to calculate matrix elements for squeezed states.

Teleportation of non-Gaussian states of light

2011 ◽  
Author(s):  
H. Benichi ◽  
N. Lee ◽  
S. Takeda ◽  
A. Furusawa ◽  
Timothy Ralph ◽  
...  
Keyword(s):  
Gaussian States ◽  
Non Gaussian

scholarly journals Variational study of fermionic and bosonic systems with non-Gaussian states: Theory and applications

2018 ◽  
Vol 390 ◽  
pp. 245-302 ◽  
Author(s):  
Tao Shi ◽  
Eugene Demler ◽  
J. Ignacio Cirac
Keyword(s):  
Gaussian States ◽  
Variational Study ◽  
Non Gaussian
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