Entanglement dynamics in three-qubit X states

Journal Article · Wed Sep 15 04:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.032326· OSTI ID:21448664

Weinstein, Yaakov S ^[1]

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1. Quantum Information Science Group, MITRE Corporation, 260 Industrial Way West, Eatontown, New Jersey 07224 (United States)

I explore the entanglement dynamics of a three-qubit system in an initial X state undergoing decoherence including the possible exhibition of entanglement sudden death. To quantify entanglement I utilize negativity measures and make use of appropriate entanglement witnesses. The negativity results are then extended to X states with an arbitraty number of qubits. I also demonstrate nonstandard behavior of the tripartite negativity entanglement metric: its sudden appearance after some amount of decoherence, followed quickly by its disappearance. Finally, I solve for a lower bound on the three-qubit X-state concurrence, demonstrate when this bound goes to 0, and outline simplifcations for the calculation of higher-order X-state concurrences.

• OSTI ID: 21448664
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 3 Vol. 82; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOUND STATE
ENERGY LEVELS
INFORMATION
MECHANICS
QUANTUM DECOHERENCE
QUANTUM ENTANGLEMENT
QUANTUM INFORMATION
QUANTUM MECHANICS
QUANTUM STATES
QUBITS