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Related papers: Perfect cloning of harmonic oscillator coherent st…

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This paper has been withdrawn by the authors due to a crucial error in eqn 27.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

We construct the optimal 1 to 2 cloning transformation for the family of displaced thermal equilibrium states of a harmonic oscillator, with a fixed and known temperature. The transformation is Gaussian and it is optimal with respect to the…

Quantum Physics · Physics 2011-06-23 Madalin Guta , Keiji Matsumoto

This article has been withdrawn.

Quantum Physics · Physics 2007-05-23 John C. Howell , Irfan A. Khan , Dik Bouwmeester , N. P. Bigelow

The paper is temporarily withdrawn by the authors.

Quantum Physics · Physics 2007-05-23 Somshubhro Bandyopadhyay , Guruprasad Kar

This paper has been withdrawn by the authors

Nuclear Theory · Physics 2007-05-23 Alexander Volya , Vladimir Zelevinsky

This paper has been withdrawn by the author, due to an error in relation (11).

Strongly Correlated Electrons · Physics 2007-05-23 Xiang-Yu Ge

We analyze a reversibility of optimal Gaussian $1\to 2$ quantum cloning of a coherent state using only local operations on the clones and classical communication between them and propose a feasible experimental test of this feature.…

Quantum Physics · Physics 2009-11-10 R. Filip , J. Fiurasek , P. Marek

It is known that to imperfectly clone a phase-set of states uncorrelatedly is impossible due to the linearity and the hermitian-preservation of quantum operations deterministically shown by D'Ariano et al. In this paper we address…

Quantum Physics · Physics 2015-03-24 Yuji Sekino

We construct the most general SO(4,2) hydrogen atom coherent states which are the counterpart of Schr\"{o}dinger's harmonic oscillator coherent states. We show that these states cannot be localized and cannot follow the classical orbits.…

Nuclear Theory · Physics 2009-10-22 Ivaylo Zlatev , Wei-Min Zhang , Da Hsuan Feng

This paper is being withdrawn.

High Energy Physics - Phenomenology · Physics 2007-05-23 C. J. Horowitz

This paper has been withdrawn because there is a fundamental error in the computations; with the right computational scheme it seems to be just a version of the Jones polynomial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

We examine the perfect cloning of non-local, orthogonal states with only local operations and classical communication. We provide a complete characterisation of the states that can be cloned under these restrictions, and their relation to…

Quantum Physics · Physics 2009-11-11 Alastair Kay , Marie Ericsson

This paper has been withdrawn due to crucial erros in equations (24)--(31).

General Relativity and Quantum Cosmology · Physics 2015-06-25 J. Acacio de Barros , N. Pinto-Neto , M. A. Sagioro-Leal

This paper has been withdrawn by the author due to a mistake in the section 4.

Complex Variables · Mathematics 2013-04-30 Su-Jen Kan

We consider optimal cloning of the spin coherent states in Hilbert spaces of different dimensionality d. We give explicit form of optimal cloning transformation for spin coherent states in the three-dimensional space, analytical results for…

Quantum Physics · Physics 2009-11-10 Rafal Demkowicz-Dobrzanski , Marek Kus , Krzysztof Wodkiewicz

This paper has been withdrawn by the author(s), due a crucial error in Eqn. 30.

Materials Science · Physics 2007-05-23 Titus Sandu , R. I. Iftimie , M. van Schilfgaarde

It is well known that it is impossible to clone an arbitrary quantum state. However, this inability does not lead directly to no-cloning of quantum coherence. Here, we show that it is impossible to clone the coherence of an arbitrary…

This paper has been withdrawn by the authors, due to the discovery of paper 0201028 which predates it and contains most of it's results.

Quantum Physics · Physics 2007-05-23 Y. Suhov , T. Voice

Orthogonal pure states can be cloned as well as deleted. However if there is an initial disorder in the system, that is for orthogonal mixed states, one cannot perform deletion. And cloning, in such cases, necessarily produces an…

Quantum Physics · Physics 2007-05-23 Michal Horodecki , Aditi Sen De , Ujjwal Sen

We study the problem of universal quantum cloning -- taking several identical copies of a pure but unknown quantum state and producing further copies. While it is well known that it is impossible to perfectly reproduce the state, how well…

Quantum Physics · Physics 2016-08-09 Alastair Kay