scholarly journals Detecting Non‐Markovianity via Linear Entropy of Choi State

2019 ◽  
Vol 532 (1) ◽  
pp. 1900320 ◽  
Author(s):  
Xiao Zheng ◽  
Shao‐Qiang Ma ◽  
Guo‐Feng Zhang
Keyword(s):  
Linear Entropy

A linear entropy relationship for fusion of n-alkyl chains

1985 ◽  
Vol 86 ◽  
pp. 1-6 ◽  
Author(s):  
M.J.M. van Oort ◽  
M.A. White
Keyword(s):  
Linear Entropy ◽  
Alkyl Chains

ENTROPY EXCHANGE AND CORRELATION IN u(2) ALGEBRAIC MODEL

2008 ◽  
Vol 19 (10) ◽  
pp. 1495-1507 ◽  
Author(s):  
XI-WEN HOU ◽  
MING-FANG WAN ◽  
ZHONG-QI MA
Keyword(s):  
Quantum Information Processing ◽  
Algebraic Model ◽  
Linear Entropy ◽  
Squeezed States ◽  
Correlation Index ◽  
Suitable Parameter ◽  
Diagonal Approximation ◽  
Initial States ◽  
Thermal States ◽  
Exchange And Correlation

The dynamics of entropy exchange and correlation in u(2) algebraic model for two stretches of H 2 O and SO 2 is studied in terms of the linear entropy with diagonal approximation, where various initial states are respectively taken to be the product of thermal states and squeezed states on each mode. It is shown that with a suitable parameter in initial states, the entropies in each stretch are positively correlated or anticorrelated, which depend on initial states and a molecule. The entropy correlation is also studied in terms of a correlation index. It is demonstrated that the correlation index and the sum of linear entropies in each stretch are identical in oscillation. The differences in the linear entropy in each stretch and the correlation index of the thermal states and the squeezed states between H 2 O and SO 2 are noticed. These may be useful for quantum computing and quantum information processing based on two stretching modes in both molecules.

The influence of excitation number of photon-added coherent state field on the entanglement swapping process

2017 ◽  
Vol 31 (27) ◽  
pp. 1750198 ◽  
Author(s):  
M. Soltani ◽  
M. K. Tavassoly ◽  
R. Pakniat
Keyword(s):  
Coherent State ◽  
Quantum Electrodynamics ◽  
Coherent States ◽  
Success Probability ◽  
Entanglement Swapping ◽  
Cavity Quantum Electrodynamics ◽  
Linear Entropy ◽  
Entangled State ◽  
Maximally Entangled State ◽  
Coherent Field

In this paper, we outline a scheme for the entanglement swapping procedure based on cavity quantum electrodynamics using the Jaynes–Cummings model consisting of the coherent and photon-added coherent states. In particular, utilizing the photon-added coherent states ([Formula: see text][Formula: see text][Formula: see text][Formula: see text], where [Formula: see text] is the Glauber coherent state) in the scheme, enables us to investigate the effect of [Formula: see text], i.e., the number of excitations corresponding to the photon-added coherent field on the entanglement swapping process. In the scheme, two two-level atoms [Formula: see text] and [Formula: see text] are initially entangled together, and distinctly two exploited cavity fields [Formula: see text] and [Formula: see text] are prepared in an entangled state (a combination of coherent and photon-added coherent states). Interacting the atom [Formula: see text] with field [Formula: see text] (via the Jaynes–Cummings model) and then making detection on them, transfers the entanglement from the two atoms [Formula: see text], [Formula: see text] and the two fields [Formula: see text], [Formula: see text] to the atom-field “[Formula: see text]-[Formula: see text]”, i.e., entanglement swapping occurs. In the continuation, we pay our attention to the evaluation of the fidelity of the swapped entangled state relative to a suitable maximally entangled state, success probability of the performed detections and linear entropy as the degree of entanglement of the swapped entangled state. It is demonstrated that, an increase in the number of excitations, [Formula: see text], leads to the increment of fidelity as well as the amount of entanglement. According to our numerical results, the maximum values of fidelity (linear entropy) 0.98 (0.46) is obtained for [Formula: see text], however, the maximum value of success probability does not significantly change by increasing [Formula: see text].

scholarly journals Relation Between The Roughness, Linear Entropy and Visibility of A Quantum State, The Jaynes-Cummings Model.

2021 ◽  
Author(s):  
Adélcio Carlos de Oliveira ◽  
Mauricio Reis
Keyword(s):  
Quantum State ◽  
Parameter Space ◽  
Linear Entropy ◽  
Parameter Spaces ◽  
Dispersive Term

Abstract In this work, an analysis of the Jaynes-Cummings Model is conducted in the parameter spaces, composed of Roughness, Concurrence/Linear Entropy and Visibility. The analysis was carried out without including the effects of the environment and with the inclusion of a dispersive environment. As Roughness measures the state’s degree of non-classicality, its inclusion in the analysis allows to identify points in the dynamics that are not usually perceived by traditional analysis. It is observed that the parameter space is almost completely occupied when the dispersive term is small, and is concentrated in the region of less roughness and less purity as the dispersive coefficient is increased.

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