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This paper has been withdrawn by the authors because the paper is largely revised and improved, and to appear in Mechanics Research Communications.

Classical Physics · Physics 2007-05-23 Y. C. Huang , Z. X. Liu , X. G. Li

This paper has been withdrawn.

Quantum Physics · Physics 2007-05-23 Ruadhan O'Flanagan

This paper has been withdrawn by the author.

Quantum Physics · Physics 2007-05-23 Chi-Yee Cheung

This paper has been withdrawn by the author due to a missing figure

This paper has been withdrawn

Quantum Physics · Physics 2007-05-23 Lei-Lei Huang , Bing Qi , Li Qian , Hoi-Kwong Lo

This paper has been withdrawn by the author, because a better treatment is given in the author's Phd. thesis (Sections 3.4.6 and 4.4), now available on the arxiv.

Operator Algebras · Mathematics 2010-02-26 Orr Shalit

This version of the paper has been withdrawn due to an error. Please contact one of the authors for an updated copy.

Cryptography and Security · Computer Science 2010-01-18 Octavian Catrina , Amitabh Saxena , Sebastiaan J Hoogh

This submission to arXiv has been withdrawn by the authors

Statistical Mechanics · Physics 2009-11-11 Cristobal Lopez , Francisco Ramos , Emilio Hernandez-Garcia , Miguel A. Munoz

This submission has been removed by arXiv administrators because it is a duplicate of astro-ph/0603735.

Astrophysics · Physics 2009-11-11 A. H. Córsico , L. G. Althaus

This paper has been withdrawn by the author due to some mistakes

Quantum Physics · Physics 2009-06-18 Daqing Liu

In recent years, Variational Quantum Algorithms (VQAs) have emerged as a promising approach for solving optimization problems on quantum computers in the NISQ era. However, one limitation of VQAs is their reliance on fixed-structure…

Quantum Physics · Physics 2026-03-03 Gloria Turati , Maurizio Ferrari Dacrema , Paolo Cremonesi

This paper has been withdrawn by the author

Quantum Physics · Physics 2008-05-07 Yibo Zhao

This paper has been withdrawn because of serious errors.

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

This paper has been withdrawn by the author due to text overlap with arXiv:1102.5004, as well as omission of proper citations to arXiv:1110.4655 and arXiv:1111.0313

Instrumentation and Methods for Astrophysics · Physics 2015-03-19 Noble P. Abraham

We present a novel approach for designing complex approximate arithmetic circuits that trade correctness for power consumption and play important role in many energy-aware applications. Our approach integrates in a unique way formal methods…

Neural and Evolutionary Computing · Computer Science 2020-07-03 Milan Ceska , Jiri Matyas , Vojtech Mrazek , Lukas Sekanina , Zdenek Vasicek , Tomas Vojnar

Erroneous submission in violation of copyright removed by arXiv admin.

Computers and Society · Computer Science 2015-03-20 Sumit Katiyar , R. K. Jain , N. K. Agrawal

Designing effective quantum circuits remains a central challenge in quantum computing, as circuit structure strongly influences expressivity, trainability, and hardware feasibility. Current approaches, whether using manually designed…

Neural and Evolutionary Computing · Computer Science 2026-02-04 Devroop Kar , Daniel Krutz , Travis Desell

This document is a pdf version of the series of blogposts about variational quantum algorithms (VQA) I originally posted on my blog Musty Thoughts. It provides an explanation of the basic variational algorithms, such as Variational Quantum…

Quantum Physics · Physics 2024-02-27 Michał Stęchły

Removed by arXiv administrators because submission violated the terms of arXiv's license agreement.

Optics · Physics 2014-06-18 Stevan Urošević
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