Analytic expressions for geometric measure of three-qubit states

Journal Article · Fri Feb 15 04:00:00 EST 2008 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.77.022325· OSTI ID:21140470

Tamaryan, Levon; Park, DaeKil; Tamaryan, Sayatnova ^[1]

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1. Physics Department, Yerevan State University, Yerevan 375025 (Armenia)

A method is developed to derive algebraic equations for the geometric measure of entanglement of three-qubit pure states. The equations are derived explicitly and solved in the cases of most interest. These equations allow one to derive analytic expressions of the geometric entanglement measure in a wide range of three-qubit systems, including the general class of W states and states which are symmetric under the permutation of two qubits. The nearest separable states are not necessarily unique, and highly entangled states are surrounded by a one-parametric set of equally distant separable states. A possibility for physical applications of the various three-qubit states to quantum teleportation and superdense coding is suggested from the aspect of entanglement.

• OSTI ID: 21140470
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 2 Vol. 77; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
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QUANTUM COMPUTERS
QUANTUM ENTANGLEMENT
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QUANTUM TELEPORTATION
QUBITS