Computation of the geometric measure of entanglement for pure multiqubit states

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

DOI:https://doi.org/10.1103/PHYSREVA.82.032301· OSTI ID:21448641

Lin, Chen ^[1]; Aimin, Xu ^[2]; Huangjun, Zhu ^[1]

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1. Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543 (Singapore)
2. Institute of Mathematics, Zhejiang Wanli University, Ningbo 315100 (China)

We provide methods for computing the geometric measure of entanglement for two families of pure states with both experimental and theoretical interests: symmetric multiqubit states with non-negative amplitudes in the Dicke basis and symmetric three-qubit states. In addition, we study the geometric measure of pure three-qubit states systematically in virtue of a canonical form of their two-qubit reduced states and derive analytical formulas for a three-parameter family of three-qubit states. Based on this result, we further show that the W state is the maximally entangled three-qubit state with respect to the geometric measure.

• OSTI ID: 21448641
• Journal Information: Physical Review. A, Vol. 82, Issue 3; Other Information: DOI: 10.1103/PhysRevA.82.032301; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AMPLITUDES
CALCULATION METHODS
GEOMETRY
PURE STATES
QUANTUM ENTANGLEMENT
QUANTUM MECHANICS
QUBITS
SYMMETRY
INFORMATION
MATHEMATICS
MECHANICS
QUANTUM INFORMATION
QUANTUM STATES