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Entanglement sudden death as an indicator of fidelity in a four-qubit cluster state

2009/02/16 by Yaakov S. Weinstein · 19 citations
Computer Science · Physics and Astronomy · #Algorithm #Bell state #Cluster (spacecraft) #Cluster state #Computer science #Data mining #Dephasing #Fidelity #Measure (data warehouse) #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Qubit #State (computer science) #Statistical physics #Sudden death #Telecommunications #quant-ph

paper · pdf · doi:10.1103/physreva.79.052325

published in Physical Review A 79(5) (American Physical Society) · 8 pages, 9 figures

arxiv created 2009/02/16 · openalex publication_date 2009/05/19 · arxiv updated 2015/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

I explore the entanglement evolution of a four-qubit cluster state in a dephasing environment concentrating on the phenomenon of entanglement sudden death (ESD). Specifically, I ask whether the onset of ESD has an effect on the utilization of this cluster state as a means of implementing a single-qubit rotation in the measurement-based cluster state model of quantum computation. To do this, I compare the evolution of the entanglement to the fidelity, a measure of how accurately the desired state (after the measurement-based operations) is achieved. I find that ESD does not cause a change in behavior or discontinuity in the fidelity but may indicate for certain states when the fidelity goes to 0.5.

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