Abstract
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.
Highlights
The physical features of the entanglement of quantum states has been recognized as a key resource in different domains of the quantum information processing and transmission (QIPT)
The present paper aims at quantifying the entanglement of more general non-orthogonal states with two qubits within the spin coherent states (SCSs) that are important in several tasks of transmitting and processing of quantum information
The findings show that the SCSs benefit quantifying and measuring the degree of entanglement
Summary
The physical features of the entanglement of quantum states has been recognized as a key resource in different domains of the quantum information processing and transmission (QIPT). The quantum entanglement of the mixed states introduced by Ishizaka and Hiroshima is hard to increase by any unitary transformations Concerning those states, the maximality property is obtained under a global unitary operation by considering relative entropy, entanglement of formation, and negativity [16]. Another significant concept that has received a lot of interest in the theory of quantum information is the concept of coherent states. In 1972, Perelomov developed the SCSs that are constructed from the SU(2) group [22,23] These states prescribes a large set of quantum systems with many applications in condensed matter physics, statistical mechanics, and quantum optics [24,25,26].
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