Phys. Rev. A 64, 050101(R) (2001) [4 pages]

Degree of entanglement for two qubits

Abstract

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Ayman F. Abouraddy, Bahaa E. A. Saleh^*, Alexander V. Sergienko, and Malvin C. Teich^†
Quantum Imaging Laboratory, Departments of Electrical & Computer Engineering and Physics, Boston University, 8 Saint Mary’s Street, Boston, Massachusetts 02215-2421

Received 5 April 2001; published 8 October 2001

We demonstrate that any pure bipartite state of two qubits may be decomposed into a superposition of a maximally entangled state and an orthogonal factorizable one. Although there are many such decompositions, the weights of the two superposed states are, remarkably, unique. We propose a measure of entanglement based on this decomposition. We also demonstrate that this measure is connected to three measures of entanglement previously set forth: maximal violation of Bell’s inequality, concurrence, and two-particle visibility.

URL:

http://link.aps.org/doi/10.1103/PhysRevA.64.050101

DOI:

10.1103/PhysRevA.64.050101

PACS:

03.65.Ud, 03.67.-a

^*Electronic address: besaleh@bu.edu

^†URL: http://www.bu.edu/qil

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Phys. Rev. A 64, 050101(R) (2001) [4 pages]

Degree of entanglement for two qubits