Groverian entanglement measure of pure quantum states with arbitrary partitions

doi:10.1103/PHYSREVA.75.022308

Title: Groverian entanglement measure of pure quantum states with arbitrary partitions

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Abstract

The Groverian entanglement measure of pure quantum states of n qubits is generalized to the case in which the qubits are divided into any p{<=}n parties. The entanglement between these parties is evaluated numerically using an efficient parametrization. To demonstrate this measure we apply it to symmetric states such as the Greenberg-Horne-Zeiliner state and the W state. Interestingly, this measure is equivalent to an entanglement measure introduced earlier [H. Barnum and N. Linden, J. Phys. A 34, 6787 (2001)], using different considerations.

Authors:

Shimoni, Yishai; Biham, Ofer ^[1]

Racah Institute of Physics, The Hebrew University, Jerusalem 91904 (Israel)

Publication Date:: Thu Feb 15 00:00:00 EST 2007

OSTI Identifier:: 20982075

Resource Type:: Journal Article

Resource Relation:: Journal Name: Physical Review. A; Journal Volume: 75; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevA.75.022308; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ENERGY LEVELS; QUANTUM COMPUTERS; QUANTUM ENTANGLEMENT; QUANTUM INFORMATION; QUANTUM MECHANICS; QUBITS

Citation Formats


                    Shimoni, Yishai, and Biham, Ofer. Groverian entanglement measure of pure quantum states with arbitrary partitions.  United States: N. p., 2007. 
        Web.  doi:10.1103/PHYSREVA.75.022308.

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                    Shimoni, Yishai, & Biham, Ofer. Groverian entanglement measure of pure quantum states with arbitrary partitions.  United States.  doi:10.1103/PHYSREVA.75.022308.

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                    Shimoni, Yishai, and Biham, Ofer. Thu .  
        "Groverian entanglement measure of pure quantum states with arbitrary partitions".  United States.  
        doi:10.1103/PHYSREVA.75.022308.

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@article{osti_20982075,

  title        = {Groverian entanglement measure of pure quantum states with arbitrary partitions},

  author       = {Shimoni, Yishai and Biham, Ofer},

  abstractNote = {The Groverian entanglement measure of pure quantum states of n qubits is generalized to the case in which the qubits are divided into any p{<=}n parties. The entanglement between these parties is evaluated numerically using an efficient parametrization. To demonstrate this measure we apply it to symmetric states such as the Greenberg-Horne-Zeiliner state and the W state. Interestingly, this measure is equivalent to an entanglement measure introduced earlier [H. Barnum and N. Linden, J. Phys. A 34, 6787 (2001)], using different considerations.},

  doi          = {10.1103/PHYSREVA.75.022308},

  journal      = {Physical Review. A},

  number       = 2,

  volume       = 75,

  place        = {United States},

  year         = {Thu Feb 15 00:00:00 EST 2007},

  month        = {Thu Feb 15 00:00:00 EST 2007}

}

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DOI: 10.1103/PHYSREVA.75.022308

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