Correlations in a chain of three oscillators with nearest neighbour coupling

Idrus, Bahari; Konstadopoulou, A.; Spiller, Timothy P.; Vourdas, A.

doi:10.1080/09500341003789926

Cited by 4 publications

(1 citation statement)

References 10 publications

(7 reference statements)

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“…This study employs two types of measurements specifically to detect the state either entangled or separable during the classification. First, the von Neumann entropy [19,21]  or also known as the residue entanglement. Threetangle measure, 3  is often used to differentiate between the GHZ-state and the W-state when these states become genuine entangled state [23,24].…”

Section: Introductionmentioning

confidence: 99%

Entanglement Classification for a Three-qubit System using Special Unitary Groups, SU(2) and SU(4)

Mohd

Idrus

Zainuddin

et al. 2019

IJACSA

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Entanglement is a physical phenomenon that links a pair, or a set of particles that correlates with each other, regardless of the distance between them. Recent researches conducted on entanglement are mostly focused on measurement and classification in multiqubit systems. Classification of two qubits will only distinguish the quantum state as either separable or entangled, and it can be done by measurement. Meanwhile, in a three-qubit system, it becomes more complex because of the structure of the three qubits itself. It is not sufficient to do measurement because the states are divided into three types, including fully separable state, biseparable state, and genuine entangled state. Therefore, the classification is needed to distinguish the type of states in the three-qubit system. This study aims to classify the entanglement of three-qubit pure states using a combination model of special unitary groups, SU(2) and SU(4), by changing the angle of selected parameters in SU(4) and acting on the separable pure state. The matrix represents SU(2) is matrix while matrix for SU(4) is 4 matrix. Hence, the combination of SU(2) and SU(4) represent 8 matrix. This classification uses the von Neumann entropy and three tangle measurements to classify the class, respectively. The results of this study have indicated that the three-qubit pure state has been successfully classified into different classes, namely, A-B-C, A-BC, CAB , GHZ, and W, with A-B-C being a fully separable state, A-BC and CAB are biseparable states, and GHZ and W are genuine entangled states. The results show that this model can change separable pure states to other entanglement class after transformation is done.

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Section: Introductionmentioning

confidence: 99%

Entanglement Classification for a Three-qubit System using Special Unitary Groups, SU(2) and SU(4)

Mohd

Idrus

Zainuddin

et al. 2019

IJACSA

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Critical Review of Measurement for Multipartite Entanglement: Detection and Quantification

Mohd

Idrus

Mukhtar

et al. 2016

Regional Conference on Science, Technology and Social Sciences (RCSTSS 2014)

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Quantum entanglement is one of the fields in quantum mechanics. Recently, quantum entanglement becomes the heart of many tasks in quantum information such as quantum cryptography, quantum teleportation and quantum computing due to the capability it to compute data more efficient compare classical computer. Therefore, the measurement of entanglement become important to determine either the state is entangled or separable. The aim of this paper is to view all possible methods of measurement in term of detection and quantification for multipartite entanglement cases. The outcome of this paper is to classify the method of detection and quantification including summarize the criteria and advantage or disadvantage of each method.

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Non-selective Measurement in a Tripartite Quantum System

Idrus

Mukhtar

2013

Procedia Technology

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Correlations in a chain of three oscillators with nearest neighbour coupling

Cited by 4 publications

References 10 publications

Entanglement Classification for a Three-qubit System using Special Unitary Groups, SU(2) and SU(4)

Entanglement Classification for a Three-qubit System using Special Unitary Groups, SU(2) and SU(4)

Critical Review of Measurement for Multipartite Entanglement: Detection and Quantification

Non-selective Measurement in a Tripartite Quantum System

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