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Phys. Rev. A 78, 024304 (2008) [3 pages]

Schmidt measure is not fully additive for pure states

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W. Huang1,* and Zhaohui Wei2
1Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, Michigan 48109, USA
2State Key Laboratory of Intelligent Technology and Systems, Department of Computer Science and Technology, Tsinghua University, Beijing 100084, China

Received 6 May 2008; published 15 August 2008

The Schmidt measure was introduced as a tool to quantify the degree of multipartite entanglement, which is a natural generalization of the Schmidt rank for a bipartite system and is particularly suitable for characterizing the multiparticle entanglement of graph states and other quantum states with underlying discrete structures. In this paper, by a counterexample we show that the Schmidt measure is not fully additive for pure states.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.78.024304
DOI:
10.1103/PhysRevA.78.024304
PACS:
03.67.Mn

*weihuang@eecs.umich.edu

 
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