Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Bipartite entanglement through nonorthogonal pure states

Mostafa Mansour

Published Nov 2, 2018• 0 citations
Publisher

Abstract

The purpose of this conference paper is to investigate the entanglement of a more general type of two qubitsnonorthogonal pure state by using the linear entropy as a measure of the degree of bipartite entangle-ment. Moreover, we study the behaviour of this entanglement measure in the context of Su(2)-coherentstates theory and we reformulate it as a function of some new parameters that specify coherent states.Finally we find some conditions for maximal and minimal entanglement of nonorthogonal states interms of the amplitudes of spin coherent states

DOI
10.5281/zenodo.19983062

Related papers

ENTANGLEMENT OF TWO-QUBIT NONORTHOGONAL STATES

K. Berrada, A. Chafik, Hichem Eleuch +1 more

We studied the entangled two-qubit nonorthogonal pure states through spin coherent states. Using the concurrence as a measure of entanglement we express it as a function of the amplitudes of those states and find conditions for maximal and minimal entanglement.

International Journal of Modern Physics B•Mar 30, 2009•12 citations

ENTANGLEMENT MEASURE OF BIPARTITE SYSTEM STATES

K. Berrada, Y. Hassouni

Linear entropy as a measure of entanglement is applied to explain conditions for minimal and maximal entanglement of bipartite nonorthogonal pure states. We formulate this measure in terms of the amplitudes of coherent states in the case of entangled coherent states and calculate the conditions. We generalize this formalism to the case of bipartite mixed states and show that the entanglement measure is also a function of the probabilities.

International Journal of Geometric Methods in Modern Physics•Sep 1, 2010•2 citations

Maximal Entanglement of Nonorthogonal States: Classification

Hong‐Chen Fu, Xiaoguang Wang, A. I. Solomon

A necessary and sufficient condition for the maximal entanglement of bipartite nonorthogonal pure states is found. The condition is applied to the maximal entanglement of coherent states. Some new classes of maximally entangled coherent states are explicited constructed; their limits give rise to maximally entangled Belllike states. 1

•Jan 1, 2001•41 citations

NEGATIVITY OF TWO-QUBIT SYSTEM THROUGH SPIN COHERENT STATES

K. Berrada, Abdus Salam, M. El Baz +1 more

Using the negativity, we express and analyze the entanglement of two-qubit nonorthogonal pure states through the spin coherent states. We formulate this measure in terms of the amplitudes of coherent states and we give the conditions for the minimal and the maximal entanglement. We generalize this formalism to the case of a class of mixed states and show that the negativity is also a function of probabilities.

•Jan 1, 2009•0 citations

Entanglement of General Two-Qubit States in a Realistic Framework

S. Abdel‐Khalek, K. Berrada, Eied Mahmoud Khalil +1 more

In the present paper, we examine the quantum entanglement for more general states of two-qubit system in the context of spin coherent states (SCSs). We consider the concurrence as a quantifier of entanglement and express it in terms of SCSs. We determine new set of maximally entangled conditions that provide the maximal amount of entanglement for certain values of the amplitudes of SCSs for the case of pure states. Finally, we examine the entanglement of a class of mixed states of the two qubits and provide the range in which the entanglement value is maximal with respect to the values of the amplitudes of SCSs.

Symmetry•Feb 27, 2021•2 citations

Entanglement of spin coherent mixed states

Mostafa Mansour, Y. Hassouni

In this paper, we quantify the amount of entanglement of bipartite mixed states represented by a statistical mixture of the more general type of two-qubit non-orthogonal states of the form: [Formula: see text], constructed by linearly independent spin coherent states. We use the concurrence as a measure of entanglement and we study its behavior in terms of the amplitudes of SU(2) coherent states.

International Journal of Quantum Information•Feb 1, 2016•7 citations
The purpose of this conference paper is to investigate the entanglement of a more general type of two qubitsnonorthogonal pure state by using the linear entropy as a measure of the degree of bipartite entangle-ment. Moreover, we study the behaviour of this entanglement measure in the context of Su(2)-coherentstates theory and we reformulate it as a function of some new parameters that specify coherent states.Finally we find some conditions for maximal and minimal entanglement of nonorthogonal states interms of the amplitudes of spin coherent states
In the present paper, we examine the quantum entanglement for more general states of two-qubit system in the context of spin coherent states (SCSs). We consider the concurrence as a quantifier of entanglement and express it in terms of SCSs. We determine new set of maximally entangled conditions that provide the maximal amount of entanglement for certain values of the amplitudes of SCSs for the case of pure states. Finally, we examine the entanglement of a class of mixed states of the two qubits and provide the range in which the entanglement value is maximal with respect to the values of the amplitudes of SCSs.