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This paper surveys various results in the field of Quantum Learning theory, specifically focusing on learning quantum-encoded classical concepts in the Probably Approximately Correct (PAC) framework. The cornerstone of this work is the…

Quantum Physics · Physics 2026-02-03 Sagnik Chatterjee

We present classical and quantum algorithms based on spectral methods for a problem in tensor principal component analysis. The quantum algorithm achieves a quartic speedup while using exponentially smaller space than the fastest classical…

Quantum Physics · Physics 2020-03-04 M. B. Hastings

This paper has been withdrawn due to security loophole. We thank Dr G. P. he for pointing this to us.

Quantum Physics · Physics 2009-01-14 Chun-Yan Li , Si-Yu Song , Wan-ying Wang , Gui Lu Long

This paper is withdrawn because the results in the paper are included in a paper to be published in Mathematical and Computer Modelling.

General Topology · Mathematics 2011-05-02 Huseyin Cakalli

This paper has been withdrawn by the authour.

Computer Vision and Pattern Recognition · Computer Science 2015-04-21 Fumin Shen , Chunhua Shen , Wei Liu , Heng Tao Shen

This paper has been withdrawn by the author due to a crucial sign error in equation 1

Networking and Internet Architecture · Computer Science 2011-06-28 Ayon Chakraborty , Swarup Kumar Mitra , Mrinal Kanti Naskar

This paper has been withdrawn by the authors due to substantial changes.

Condensed Matter · Physics 2011-08-12 J. M. B. Noronha , D. J. Toms

This paper has been withdrawn by the authors. We have discovered an error in the evaluation of the diagram, which invalidates our conclusion.

High Energy Physics - Phenomenology · Physics 2007-05-23 M. E. Bracco , F. S. Navarra , M. Nielsen

The paper has been withdrawn by the author.

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Jellal

This early trial has been withdrawn by the author. For a completed and published version cf. arXiv:math/0608597v5.

High Energy Physics - Theory · Physics 2008-04-21 Gabor Etesi

This paper has been withdrawn by the author because it has been substantially modified.

Methodology · Statistics 2011-12-21 Caterina May , Chiara Tommasi

This paper has been withdrawn because the models on which it was based have undergone significant changes and improvements. A new paper with the same title, based on the improved models, is accepted for publication in MNRAS and is available…

Astrophysics · Physics 2009-10-30 Rachel S. Somerville , Joel R. Primack , S. M. Faber

This paper has been withdrawn by the author due to a crucial sign error in some equations

Biological Physics · Physics 2010-03-16 Marco Iovenitti

This paper has been withdrawn by the author, due to a crucial error in the proof of Thm.1

Number Theory · Mathematics 2007-09-04 Giovanni Coppola

A number of elegant approaches have been developed for the identification of quantum circuits which can be efficiently simulated on a classical computer. Recently, these methods have been employed to demonstrate the classical simulability…

Quantum Physics · Physics 2007-06-13 Daniel E. Browne

This paper has been withdrawn by the author,due a immature idea.

High Energy Physics - Phenomenology · Physics 2007-05-23 Yong Zhou

This paper has been withdrawn by the authors due to a serious technical error in treating the quark form factors F in the gluon operators.

High Energy Physics - Phenomenology · Physics 2009-06-17 Hui-Young Ryu , Seung-il Nam , Hyun-Chul Kim

This paper is withdrawn because the results in the paper are included in a paper to be published in Mathematical and Computer Modelling.

General Topology · Mathematics 2011-05-02 Huseyin Cakalli

This paper has been withdrawn.

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

The paper has been withdrawn by the authors. The contents of the paper will be used in a future communication which will contain major addition and shift of focus.

High Energy Physics - Theory · Physics 2007-05-23 Anirban Saha , Anisur Rahaman , Pradip Mukherjee
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