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We improve the test to show the impossibility of a quantum theory based on real numbers by a larger ratio of complex-to-real bound on a Bell-type parameter. In contrast to previous theoretical and experimental proposals the test requires…

Quantum Physics · Physics 2025-01-15 Josep Batle , Tomasz Białecki , Tomasz Rybotycki , Jakub Tworzydło , Adam Bednorz

Major mistake. The paper has been withdrawn.

Number Theory · Mathematics 2010-10-05 Nicolas Billerey

This preprint has been withdrawn.

Quantum Physics · Physics 2011-05-26 André van Tonder , Miquel Dorca

We consider the problem of discriminating between two different states of a finite quantum system in the setting of large numbers of copies, and find a closed form expression for the asymptotic exponential rate at which the specified error…

Quantum Physics · Physics 2011-05-13 K. M. R. Audenaert , M. Nussbaum , A. Szkola , F. Verstraete

This paper has been withdrawn by the author due to a crucial sign error in equation which we use from Ref. 7 that is incorrect. In particular, Eq.(1-8) is not the correct equation from the variation of N. See, for example, Eq.(6) in PRD93,…

General Relativity and Quantum Cosmology · Physics 2017-02-27 Ali Övgün , Kimet Jusufi

This paper has been withdrawn because there is a fundamental error in the computations; with the right computational scheme it seems to be just a version of the Jones polynomial

Geometric Topology · Mathematics 2010-07-28 Louis H. Kauffman , Simon King , Sostenes Lins

The paper has been withdrawn by the author.

Symplectic Geometry · Mathematics 2012-06-19 Leonid Polterovich

This paper has been withdrawn by the author due to a crucial error in equation.

General Relativity and Quantum Cosmology · Physics 2011-01-07 Naonori Suma Sugiyama , Toshifumi Futamase

Paper withdrawn due to errors. Revised version may or may not appear in the future.

Mesoscale and Nanoscale Physics · Physics 2008-02-03 Steven H. Simon

This paper has been withdrawn. See quant-ph/9806031 for a discussion.

Quantum Physics · Physics 2007-05-23 Adrian Kent

This paper has been withdrawn by the author due to serious error found in main argument.

Geometric Topology · Mathematics 2016-09-07 Valery Marenich

This paper is part of series on self-contained papers in which a large part, if not the full extent, of the asymptotic limit theory of summands of independent random variables is exposed. Each paper of the series may be taken as review…

Probability · Mathematics 2021-08-24 Aladji Babacar Niang , Gane Samb Lo , Moumouni Diallo

Impropriety testing for complex-valued vector has been considered lately due to potential applications ranging from digital communications to complex media imaging. This paper provides new results for such tests in the asymptotic regime,…

Signal Processing · Electrical Eng. & Systems 2020-01-07 Florent Chatelain , Nicolas Le Bihan , Jonathan H. Manton

This paper has been withdrawn by the author due to a crucial error in equation (51).

Combinatorics · Mathematics 2009-02-04 Jonathan Novak

This paper has been withdrawn due to an error in the proof of the main theorem.

Chaotic Dynamics · Physics 2010-11-09 E. Pecou , B. Cessac , G. Espinoza

The paper is being withdrawn. A new submission will follow.

High Energy Physics - Theory · Physics 2007-05-23 Shyamoli Chaudhuri

This paper has been withdrawn by the authors due to a crucial error in the proof of the main result. In a new manuscript (with two new authors) available at arXiv:1010.2791v1 this problem has been resolved.

Quantum Physics · Physics 2010-10-18 Anton Arnold , Irene M. Gamba , Maria Pia Gualdani , Christof Sparber

We have observed a gap in one of the arguments in the main theorem. We choose to withdraw the paper until we rectify the gap.

Commutative Algebra · Mathematics 2008-10-06 A. V. Jayanthan , Ramakrishna Nanduri

This paper has been withdrawn by the author(s), due to some technical problem.

Quantum Physics · Physics 2009-11-08 M. Ramzan , M. K. Khan

Given observations from a stationary time series, permutation tests allow one to construct exactly level $\alpha$ tests under the null hypothesis of an i.i.d. (or, more generally, exchangeable) distribution. On the other hand, when the null…

Statistics Theory · Mathematics 2020-09-09 Joseph P. Romano , Marius A. Tirlea