Entanglement witnesses and geometry of entanglement of two-qutrit states

Journal Article · Wed Jul 15 00:00:00 EDT 2009 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2009.01.008· OSTI ID:21308061

Krammer, Philipp ^[1]

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1. Faculty of Physics, University of Vienna, Boltzmanngasse 5, A-1090 Vienna (Austria)

We construct entanglement witnesses with regard to the geometric structure of the Hilbert-Schmidt space and investigate the geometry of entanglement. In particular, for a two-parameter family of two-qutrit states that are part of the magic simplex, we calculate the Hilbert-Schmidt measure of entanglement. We present a method to detect bound entanglement which is illustrated for a three-parameter family of states. In this way, we discover new regions of bound entangled states. Furthermore, we outline how to use our method to distinguish entangled from separable states.

• OSTI ID: 21308061
• Journal Information: Annals of Physics (New York), Vol. 324, Issue 7; Other Information: DOI: 10.1016/j.aop.2009.01.008; PII: S0003-4916(09)00043-8; Copyright (c) 2009 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
GEOMETRY
INFORMATION THEORY
MATHEMATICAL SPACE
QUANTUM ENTANGLEMENT
QUANTUM INFORMATION
QUANTUM MECHANICS