scholarly journals A common parametrization for finite mode Gaussian states, their symmetries, and associated contractions with some applications

2021 ◽  
Vol 62 (2) ◽  
pp. 022102
Author(s):  
Tiju Cherian John ◽  
K. R. Parthasarathy
Keyword(s):  
Gaussian States

scholarly journals One-particle and two-particle visibilities in bipartite entangled Gaussian states

2021 ◽  
Vol 103 (6) ◽  
Author(s):  
Danko Georgiev ◽  
Leon Bello ◽  
Avishy Carmi ◽  
Eliahu Cohen
Keyword(s):  
Gaussian States

scholarly journals On the entanglement of formation of two-mode Gaussian states: a compact form

2015 ◽  
Vol 14 (11) ◽  
pp. 4179-4199 ◽  
Author(s):  
Y. Akbari-Kourbolagh ◽  
H. Alijanzadeh-Boura
Keyword(s):  
Compact Form ◽  
Gaussian States ◽  
Entanglement Of Formation

scholarly journals ENTANGLEMENT AND FRUSTRATION IN ORDERED SYSTEMS

2003 ◽  
Vol 01 (04) ◽  
pp. 465-477 ◽  
Author(s):  
MICHAEL M. WOLF ◽  
FRANK VERSTRAETE ◽  
J. IGNACIO CIRAC
Keyword(s):  
Ground State ◽  
State Energy ◽  
Nearest Neighbor ◽  
Bell Inequalities ◽  
Harmonic Oscillators ◽  
Neighbor Interaction ◽  
Gaussian States ◽  
Classical Systems ◽  
Entanglement Of Formation ◽  
Starting Point

This article reviews and extends recent results concerning entanglement and frustration in multipartite systems which have some symmetry with respect to the ordering of the particles. Starting point of the discussion are Bell inequalities: their relation to frustration in classical systems and their satisfaction for quantum states which have a symmetric extension. We then discussed how more general global symmetries of multipartite systems constrain the entanglement between two neighboring particles. We prove that maximal entanglement (measured in terms of the entanglement of formation) is always attained for the ground state of a certain nearest neighbor interaction Hamiltonian having the considered symmetry with the achievable amount of entanglement being a function of the ground state energy. Systems of Gaussian states, i.e. quantum harmonic oscillators, are investigated in more detail and the results are compared to what is known about ordered qubit systems.

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