Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/1259
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.
URI: http://hdl.handle.net/2289/1259
ISSN: 0022-2488
Alternative Location: http://link.aip.org/link/?jmp/46/122105
http://arxiv.org/abs/quant-ph/0406135
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)

Files in This Item:
File Description SizeFormat 
2005 JMP v46 p122105.pdfOpen Access248.49 kBAdobe PDFView/Open


Items in RRI Digital Repository are protected by copyright, with all rights reserved, unless otherwise indicated.