Superoperator Analysis of Entanglement in a Four-Qubit Cluster State

Abstract

In this paper we utilize superoperator formalism to explore the entanglement evolution of four-qubit cluster states in a number of decohering environments. A four-qubit cluster state is a resource for the performance of an arbitrary single logical qubit rotation via measurement based cluster state quantum computation. We are specifically interested in the relationship between entanglement evolution and the fidelity with which the arbitrary single logical qubit rotation can be implemented in the presence of decoherence as this will have important experimental ramifications. We also note the exhibition of entanglement sudden death (ESD) and ask how severely its onset affects the utilization of the cluster state as a means of implementing an arbitrary single logical qubit rotation.

9 pages, 9 composite figures, presentation of results completely rewritten

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Cited by in corpus (9)

• Time-invariant entanglement and sudden death of nonlocality for multipartite systems under collective dephasing
• Dynamics of genuine multipartite entanglement under local non-Markovian dephasing
• Robustness of multiparticle entanglement: specific entanglement classes and random states
• Sudden change in dynamics of genuine multipartite entanglement of cavity-reservoir qubits
• Qubit-Qutrit ($2\otimes 3$) quantum systems: An investigation of some quantum correlations under collective dephasing
• Genuine entanglement under squeezed generalized amplitude damping channels with memory
• Fusing Imperfect Photonic Cluster States
• Dynamic phases induced by two-level system defects on driven qubits
• Sudden change of genuine multipartite entanglement in non-Markovian dynamics