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Entanglement entropies have revealed, in the last years, to be a powerful tool to extract information about the physics of condensed-matter systems. In the first part of this thesis, we show how to extract essential details about the…

Strongly Correlated Electrons · Physics 2013-09-17 Luca Taddia

Casini et al raise the issue that the entanglement entropy in gauge theories is ambiguous because its definition depends on the choice of the boundary between two regions.; even a small change in the boundary could annihilate the otherwise…

High Energy Physics - Theory · Physics 2015-07-02 Ling-Yan Hung , Yidun Wan

This paper has been withdrawn by the author. Much simpler proof of the main result was obtained which led to major changes in the presentation.

General Topology · Mathematics 2009-11-09 A. Chigogidze

This paper has been withdrawn by the authors due to a crucial error in eqn 27.

Analysis of PDEs · Mathematics 2010-02-26 Miao-jung Ou , Robert Lipton

It is shown that the condition of Theorem 1 in [1] never holds in practice and that Theorem 2 is incorrect under the stated condition. Extra assumptions or/and modifications are needed to make the conclusions of Theorem 1 and 2 above valid,…

Information Theory · Computer Science 2020-02-20 S. Loyka , M. Khojastehnia

This paper has been withdrawn as it has been superseded by arXiv:1103.0251

Quantum Physics · Physics 2011-03-03 Wonmin Son , Luigi Amico , Saverio Pascazio , Rosario Fazio , Vlatko Vedral

This paper has been withdrawn by the author due to a crucial error related with the consideration of regular points

Differential Geometry · Mathematics 2007-05-23 J. C. González- Dávila

Withdrawn by author - Superseded by arXiv:0910.5106 [math.FA].

Complex Variables · Mathematics 2009-10-27 Daniel H. T. Franco

This paper has being withdrawn by the authors due to an error in the conclusion.

General Relativity and Quantum Cosmology · Physics 2007-05-23 B. J. Carson , G. C. Joshi

The paper has been withdrawn due to a crucial error in section 3.

Rings and Algebras · Mathematics 2016-09-08 Mariana Haim , Blas Torrecillas

We study entanglement entropy in theories with gravitational or mixed U(1) gauge-gravitational anomalies in two, four and six dimensions. In such theories there is an anomaly in the entanglement entropy: it depends on the choice of…

High Energy Physics - Theory · Physics 2017-07-25 Nabil Iqbal , Aron C. Wall

The entanglement of formation gives a necessary and sufficient condition for the existence of a perfect quantum error correction procedure.

Quantum Physics · Physics 2009-11-07 Benjamin Schumacher , Michael D. Westmoreland

This is an erratum to our paper.

Quantum Physics · Physics 2011-01-28 Zhao Liu , Heng Fan

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

Dynamical Systems · Mathematics 2008-02-03 Nandor Simanyi , Domokos Szasz

An elementary topological error in Bell's representation of the EPR elements of reality is identified. Once recognized, it leads to a topologically correct local-realistic framework that provides exact, deterministic, and local underpinning…

Quantum Physics · Physics 2010-10-26 Joy Christian

This paper has been withdrawn by the author(s) and included into the new version of "An extension theorem for separately holomorphic functions with singularities", math.CV/0104089.

Complex Variables · Mathematics 2007-05-23 Marek Jarnicki , Peter Pflug

This paper has been withdrawn due a crucial mistake due to a crucial mistake in the proof of Lemma 2.3.

Spectral Theory · Mathematics 2007-05-23 Raphael Ponge

In this paper we correct an inaccuracy that appears in the proof of Theorem 1. in Czerwik's article "Contraction mappings in $b$-metric spaces.", Acta Math. Inform. Univ. Ostraviensis, 1:5--11, 1993.

Classical Analysis and ODEs · Mathematics 2019-03-22 Sándor Kajántó , Andor Lukács

The paper is withdrawn due to mistakes in the proofs for Proposition 1.2 and Theorem 2.2.

Algebraic Geometry · Mathematics 2007-05-23 Stefan Schroeer

An elementary gap in the proof of corollary 2.2 was found, the claim in the first version of the paper is thus retracted.

Number Theory · Mathematics 2011-06-10 Thomas Sauvaget