Entanglement Sudden Death as an Indicator of Fidelity in a Four-Qubit Cluster State

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 of behavior or discontinuity in the fidelity but may indicate when the fidelity of certain states goes to .5.

8 pages, 9 figures

References in corpus (19)

• Finite-Time Disentanglement via Spontaneous Emission
• Resource-efficient linear optical quantum computation
• Quantum Open System Theory: Bipartite Aspects
• Sudden Birth Versus Sudden Death of Entanglement in Multipartite Systems
• Detecting Genuine Multipartite Entanglement with Two Local Measurements
• Heralded Entanglement between Atomic Ensembles: Preparation, Decoherence, and Scaling
• Sudden Death of Entanglement of Two Jaynes-Cummings Atoms
• Experimental investigation of the dynamics of entanglement: Sudden death, complementarity, and continuous monitoring of the environment
• Scaling laws for the decay of multiqubit entanglement
• Pairwise Concurrence Dynamics: A Four-Qubit Model
• Multiparticle entanglement under the influence of decoherence
• Entanglement invariant for the double Jaynes-Cummings model
• Tri-partite Entanglement Witnesses and Sudden Death
• Efficient one-step generation of large cluster states with solid-state circuits
• Quantum error correction may delay, but also cause, entanglement sudden death
• Efficient Construction of Photonic Quantum Computational Clusters
• Robustness of multi-qubit entanglement in the independent decoherence model
• Preparation of Decoherence Free Cluster States with Optical Superlattices
• A Scalable Architecture for Coherence-Preserving Qubits

Cited by in corpus (11)

• Entanglement Sudden Death in Three Qubit X-States
• Noisy One-Way Quantum Computations: The Role of Correlations
• Superoperator Analysis of Entanglement in a Four-Qubit Cluster State
• Spin Squeezing, Negative Correlations, and Concurrence in the Quantum Kicked Top Model
• Topology of Entanglement Evolution of Two Qubits
• Entanglement Sudden Death in a Quantum Memory
• The Fidelity of Measurement-Based Quantum Computation under a Boson Environment
• Fusing Imperfect Photonic Cluster States
• Probing multipartite entanglement, coherence and quantum information preservation under classical Ornstein-Uhlenbeck noise
• Exact dynamics of single qubit gate fidelities under the measurement-based quantum computation scheme
• Storing Small Photonic Cluster States in a Dephasing Environment