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Quantum cellular automata are important tools in understanding quantum dynamics, thanks to their simple and effective list of rules. Here we investigate explicitly how coherence is built and lost in the evolution of one-dimensional automata…

Quantum Physics · Physics 2018-01-09 Federico Centrone , Marco Barbieri , Alessio Serafini

We show that quantum cellular automata naturally form the degree-zero part of a coarse homology theory. The recent result of Ji and Yang that the space of QCA forms an Omega-spectrum in the sense of algebraic topology is a direct…

K-Theory and Homology · Mathematics 2026-03-27 Matthias Ludewig

This paper has been withdrawn by the author due to rewritting and skipping crucial sign errors.

Numerical Analysis · Mathematics 2012-08-08 Juergen Geiser

Near zero-energy computing describes the concept of executing logic operations below the (kBT ln 2) energy limit. Landauer discussed that it is impossible to break this limit as long as the computations are performed in the conventional,…

Emerging Technologies · Computer Science 2020-08-18 Frank Sill Torres , Philipp Niemann , Robert Wille , Rolf Drechsler

This paper has being withdrawn by the authors due to an error in the conclusion.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

This submission is withdrawn by arXiv administrators. arXiv does not accept book advertisements.

High Energy Physics - Phenomenology · Physics 2009-01-12 Stephan Narison

This entry has been removed since we are an archive and not an advertisement space.

Condensed Matter · Physics 2015-06-25 J. Gonzalez , M. A. Martin-Delgado , G. Sierra , M. A. H. Vozmediano

withdrawn by the authors because of an error.

Quantum Physics · Physics 2007-08-28 Y. -J. Han , L. -M. Duan

We discuss the role of classical control in the context of reversible quantum cellular automata. Employing the structure theorem for quantum cellular automata, we give a general construction scheme to turn an arbitrary cellular automaton…

Quantum Physics · Physics 2009-11-11 D. J. Shepherd , T. Franz , R. F. Werner

Withdrawn by arXiv administration because authors have forged affiliations and acknowledgements, and have not adequately responded to charges [hep-th/9912039] of unattributed use of verbatim material.

High Energy Physics - Theory · Physics 2010-02-01 N. Mebarki , A. Maireche

We introduce a scheme to perform universal quantum computation in quantum cellular automata (QCA) fashion in arbitrary subsystem dimension (not necessarily finite). The scheme is developed over a one spatial dimension $N$-element array,…

Quantum Physics · Physics 2010-09-02 G. A. Paz-Silva , G. K. Brennen , J. Twamley

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

Quantum Physics · Physics 2007-05-23 G. R. Jin , D. L. Zhou

The paper has been withdrawn due to an error in Lemma 1.

Data Structures and Algorithms · Computer Science 2007-05-23 Sumit Ganguly

We have investigated the behavior of bistable cells made up of four quantum dots and occupied by two electrons, in the presence of realistic confinement potentials produced by depletion gates on top of a GaAs/AlGaAs heterostructure. Such a…

Condensed Matter · Physics 2009-10-31 M. Governale , M. Macucci , G. Iannaccone , C. Ungarelli , J. Martorell

arXiv admin note: This submission has been withdrawn by arXiv administrators due to unprofessional personal attack.

Mesoscale and Nanoscale Physics · Physics 2015-01-23 Kuntal Roy

The quantum cellular automata (QCA) effect is a transition in which multiple electron move coordinately by Coulomb interactions and observed in multiple quantum dots. This effect will be useful for realizing and improving quantum cellular…

We present a quantum error correcting code that is invariant under the conditional time evolution between spontaneous emissions and which can correct for one general error. The code presented here generalizes previous error correction codes…

Quantum Physics · Physics 2009-10-30 M. B. Plenio , V. Vedral , P. L. Knight

We consider the group structure of quantum cellular automata (QCA) modulo circuits and show that it is abelian even without assuming the presence of ancillas, at least for most reasonable choices of control space; this is a corollary of a…

Quantum Physics · Physics 2022-04-21 Michael Freedman , Jeongwan Haah , Matthew B. Hastings

The recent opinion article "A decade of molecular cell atlases" by Stephen Quake narrates the incredible single-cell genomics technology advances that have taken place over the last decade, and how they have translated to increasingly…

Other Quantitative Biology · Quantitative Biology 2022-04-05 Lior Pachter

This paper has been superseded by arXiv:1007.3624

Quantum Physics · Physics 2010-07-23 Abuzer Yakaryilmaz , A. C. Cem Say
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