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Title: A combinatorial approach for studying local operations and classical communication transformations of multipartite states
Authors: Singh, Sudhir Kumar
Pal, Sudebkumar Prasant
Kumar, Somesh
Srikanth, R.
Issue Date: Dec-2005
Publisher: The American Institute of Physics
Citation: Journal of Mathematical Physics, 2005, Vol.46, p122105
Abstract: We develop graph theoretic methods for analyzing maximally entangled pure states distributed between a number of different parties. We introduce a technique called bicolored merging, based on the monotonicity feature of entanglement measures, for determining combinatorial conditions that must be satisfied for any two distinct multiparticle states to be comparable under local operations and classical communication. We present several results based on the possibility or impossibility of comparability of pure multipartite states. We show that there are exponentially many such entangled multipartite states among n agents. Further, we discuss a new graph theoretic metric on a class of multipartite states, and its implications.
ISSN: 0022-2488
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Copyright: (2005) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.
Appears in Collections:Research Papers (LAMP)

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