Nonlocal correlations for manifold quantum systems: Entanglement of two-spin states

Berrada, K.; Mohammadzade, A.; Abdel‐Khalek, S.; Eleuch, Hichem; Salimi, S.

doi:10.1016/j.physe.2012.06.014

Cited by 10 publications

(3 citation statements)

References 49 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In order to find the entanglement entropy which is a nonlocal quantity [14], we first conduct bipartition. We can arbitrarily divide the space into two parts, A and B.…”

Section: Topological Entanglement Entropymentioning

confidence: 99%

Topological entanglement entropy in bilayer quantum hall systems

Chung

2014

Journal of the Korean Physical Society

View full text Add to dashboard Cite

We calculate the topological entanglement entropy in bilayer quantum Hall systems, dividing the set of quantum numbers into four parts. This topological entanglement entropy allows us to draw a phase diagram in the parameter space of layer separation and tunneling amplitude. We perform the finite size scaling analysis of the topological entanglement entropy in order to see the quantum phase transition clearly.

show abstract

“…In order to find the entanglement entropy which is a nonlocal quantity [14], we first conduct bipartition. We can arbitrarily divide the space into two parts, A and B.…”

Section: Topological Entanglement Entropymentioning

confidence: 99%

Topological entanglement entropy in bilayer quantum hall systems

Chung

2014

Journal of the Korean Physical Society

View full text Add to dashboard Cite

show abstract

“…But for maximally entangled states (Bell states) these measures exhibit maximum values. Entanglement properties of some special quantum states like superposition of coherent states [4][5][6] and two-qubit Werner states have been investigated [7].Recent studies have demonstrated that quantum systems in higher dimensions may improve the efficiency of quantum information protocols, security of quantum cryptography, and quantum channel capacities [8][9][10][11][12].Because higher dimensional entangled states allow the realization of new types with higher capacity of quantum communication protocols [13].…”

Section: Introductionmentioning

confidence: 99%

Entanglement Increase in Higher Dimensions

Chamgordani¹,

Koppelaar²

2018

IJIRSET

View full text Add to dashboard Cite

Entanglement of generalized Quasi-Bell states is studied and numerically compared with I-concurrence (Ic), D-concurrence (Dc), negativity (N) and mutual information (S A:B ) measures. We illustrate denoted measures reveal more entanglement as the generalized two-qutrit (qudit) Quasi-Bell state tend to be more complete in d×d Hilbert spaces, d∈{3 , 4}. Entanglement and correlation of two qutrit-and two qudit-Werner states are determined analytically by employing negativity and mutual information and then compared numerically.

show abstract

“…Also, it has been used in other important applications such as superdense coding [5] and quantum metrology [6]. Several entanglement measures such as concurrence [7], entanglement of formation [8], tangle [9] and negativity [10] have been proposed in pure and mixed states. In this regard, the concurrence and negativity are used as entanglement measures for a mixed state, but for a pure state, the von Neumann entropy of density matrix can also be used as a measure of entanglement [11].…”

Section: Introductionmentioning

confidence: 99%

Dynamical properties of moving atom–atom entanglement and entanglement between two atoms with optical field

Abdel‐Khalek

Halawani

2015

Pramana - J Phys

View full text Add to dashboard Cite

Quantum information technology largely relies on a sophisticated and fragile resource, called quantum entanglement, which exhibits a highly nontrivial manifestation of the coherent superposition of the states of composite quantum systems. In this paper, we study the interaction between the general and even coherent fields with moving and stationary two two-level atoms. In this regard, this paper investigates the von Neumann entropy and the atoms-field tangle as a measure of entanglement between the general and even coherent fields with the two atoms. Also, the entanglement between the two atoms using concurrence and negativity during time evolution is discussed. This paper examines the effects of multiphoton transitions and initial state setting on the entanglement for the system under consideration. Finally, the results demonstrate an important phenomenon such as the sudden death and birth of entanglement when the two atoms are initially in entangled states.Keywords. von Neumann entropy; concurrence; negativity; atoms-field tangle; sudden death and sudden birth of entanglement.

show abstract

Nonlocal correlations for manifold quantum systems: Entanglement of two-spin states

Cited by 10 publications

References 49 publications

Topological entanglement entropy in bilayer quantum hall systems

Topological entanglement entropy in bilayer quantum hall systems

Entanglement Increase in Higher Dimensions

Dynamical properties of moving atom–atom entanglement and entanglement between two atoms with optical field

Contact Info

Product

Resources

About