Characterization of pure quantum states of multiple qubits using the Groverian entanglement measure

Details Characterization of pure quantum states of multiple qubits using the Groverian entanglement measure Characterization of pure quantum states of multiple qubits using the Groverian entanglement measure

2003-09-07

arxiv.org/abs/quant-ph/0309062v1

Phys. Rev. A 69, 062303 (2004)

Physics

Quantum Physics

28 pages, 5 figures

Scientific paper

10.1103/PhysRevA.69.062303

The Groverian entanglement measure, G(psi), is applied to characterize a variety of pure quantum states |psi> of multiple qubits. The Groverian measure is calculated analytically for certain states of high symmetry, while for arbitrary states it is evaluated using a numerical procedure. In particular, it is calculated for the class of Greenberger-Horne-Zeilinger states, the W states as well as for random pure states of n qubits. The entanglement generated by Grover's algorithm is evaluated by calculating G(psi) for the intermediate states that are obtained after t Grover iterations, for various initial states and for different sets of the marked states.

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