Simple algorithm for computing the geometric measure of entanglement

Journal Article · Mon Aug 15 00:00:00 EDT 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.84.022323· OSTI ID:22068516

Streltsov, Alexander; Kampermann, Hermann; Bruss, Dagmar ^[1]

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1. Heinrich-Heine-Universitaet Duesseldorf, Institut fuer Theoretische Physik III, D-40225 Duesseldorf (Germany)

We present an easy implementable algorithm for approximating the geometric measure of entanglement from above. The algorithm can be applied to any multipartite mixed state. It involves only the solution of an eigenproblem and finding a singular value decomposition; no further numerical techniques are needed. To provide examples, the algorithm was applied to the isotropic states of three qubits and the three-qubit XX model with external magnetic field.

• OSTI ID: 22068516
• Journal Information: Physical Review. A, Vol. 84, Issue 2; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGORITHMS
GEOMETRY
MATHEMATICAL SOLUTIONS
MIXED STATE
MIXED STATES
QUANTUM ENTANGLEMENT
QUBITS