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This paper was withdrawn on 20.11.97.

Quantum Physics · Physics 2007-05-23 Adrian Kent

This paper has been withdrawn by the author due a crucial error.

Symplectic Geometry · Mathematics 2007-05-23 Sei-Qwon Oh

This paper has been withdrawn since it is identical to the paper math.QA/0601267. It was posted by mistake.

Quantum Algebra · Mathematics 2007-05-23 Xiao-Song Lin , Hao Zheng

This paper has been withdrawn by the author due to the incorrect argument for the security.

Quantum Physics · Physics 2008-05-26 Yibo Zhao

This paper has been withdrawn by the authors due to some fatal errors in the analysis.

General Relativity and Quantum Cosmology · Physics 2008-03-05 Seungjoon Hyun , Jaehoon Jeong , Wontae Kim , John J. Oh

This paper has been withdrawn by the author because there are some typos in proofs.

Commutative Algebra · Mathematics 2013-07-30 M. J. Nikmehr , F. Heydari

This paper has been withdrawn by the author, due to an error in the proof of Theorem 3.8.

Differential Geometry · Mathematics 2008-06-10 Jon Wolfson

This paper has been withdrawn by the author due to an error in the proof of Theorem 1.

Geometric Topology · Mathematics 2009-03-30 Emmanuel Wagner

This paper has been withdrawn.

Combinatorics · Mathematics 2011-03-04 Golnaz Ghasemiesfeh

This paper has been withdrawn by the author due to a mistake in the proof of the main theorem.

Analysis of PDEs · Mathematics 2014-01-14 Christian G. Boehmer

This paper has been withdrawn by the author, due a critical mistake on page 3.

Algebraic Topology · Mathematics 2008-08-22 Alexandru E. Stanculescu

This paper has been withdrawn because of serious errors.

High Energy Physics - Theory · Physics 2007-05-23 T. G. Philbin

This article has been withdrawn due to an error in a proof of the main result.

Algebraic Topology · Mathematics 2011-04-15 Mark Grant

This paper has been withdrawn due to a crucial theoretical error.

This paper has been withdrawn by the author.

Number Theory · Mathematics 2009-06-19 Yuqing Zhang

This paper has been withdrawn by the author due a few mistakes in the paper.

Complex Variables · Mathematics 2011-01-19 Lakshmi Priya Magudeeswari Easwaran

This paper has been withdrawn since it was an inadvertant double submission. An updated version of the original submission can be found at quant-ph/0505131

Quantum Physics · Physics 2007-05-23 A. S. Bradley , M. K. Olsen , O. Pfister , R. C. Pooser

This paper has been withdrawn by the author(s), due a crucial sign error in Thm. 11.

Information Theory · Computer Science 2007-10-29 Zhengbang Zha , XueLi Wang

This paper has been withdrawn by the author due to an error in an inequality in the proof of Theorem 1.1.

Geometric Topology · Mathematics 2007-05-23 Jonathan Williams