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

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:
;  [1]
  1. Racah Institute of Physics, The Hebrew University, Jerusalem 91904 (Israel)
Publication Date:
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.
Shimoni, Yishai, & Biham, Ofer. Groverian entanglement measure of pure quantum states with arbitrary partitions. United States. doi:10.1103/PHYSREVA.75.022308.
Shimoni, Yishai, and Biham, Ofer. Thu . "Groverian entanglement measure of pure quantum states with arbitrary partitions". United States. doi:10.1103/PHYSREVA.75.022308.
@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}
}