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We analyze in details a scheme for cloning of Gaussian states based on linear optical components and homodyne detection recently demonstrated by U. L. Andersen et al. [PRL 94 240503 (2005)]. The input-output fidelity is evaluated for a…

Quantum Physics · Physics 2009-11-13 Stefano Olivares , Matteo G. A. Paris , Ulrik L. Andersen

A scheme for optimal Gaussian cloning of optical coherent states is proposed and experimentally demonstrated. Its optical realization is based entirely on simple linear optical elements and homodyne detection. The optimality of the…

Quantum Physics · Physics 2009-11-11 Ulrik L. Andersen , Vincent Josse , Gerd Leuchs

We construct a probabilistic quantum cloning machine by a general unitary-reduction operation. With a postselection of the measurement results, the machine yields faithful copies of the input states. It is shown that the states secretly…

Quantum Physics · Physics 2009-10-31 Lu-Ming Duan , Guang-Can Guo

The fidelity of a quantum transformation is strongly linked with the prior partial information of the state to be transformed. We illustrate this interesting point by proposing and demonstrating the superior cloning of coherent states with…

Quantum Physics · Physics 2009-11-13 Metin Sabuncu , Gerd Leuchs , Ulrik L. Andersen

We investigate the asymmetric Gaussian cloning of coherent states which produces M copies from N input replicas, such that the fidelity of all copies may be different. We show that the optimal asymmetric Gaussian cloning can be performed…

Quantum Physics · Physics 2009-11-13 Jaromir Fiurasek , Nicolas J. Cerf

We describe an optical scheme for optimal Gaussian n to m cloning of coherent states. The scheme, which generalizes a recently demonstrated scheme for 1 to 2 cloning, involves only linear optical components and homodyne detection.

Quantum Physics · Physics 2009-11-13 Stefano Olivares , Matteo G. A. Paris , Ulrik L. Andersen

We consider the optimal cloning of quantum coherent states with single-clone and joint fidelity as figures of merit. Both optimal fidelities are attained for phase space translation covariant cloners. Remarkably, the joint fidelity is…

Quantum Physics · Physics 2007-05-23 N. J. Cerf , O. Krueger , P. Navez , R. F. Werner , M. M. Wolf

The cloning of continuous quantum variables is analyzed based on the concept of Gaussian cloning machines, i.e., transformations that yield copies that are Gaussian mixtures centered on the state to be copied. The optimality of Gaussian…

Quantum Physics · Physics 2009-11-06 N. J. Cerf , S. Iblisdir

The cloning of quantum variables with continuous spectra is investigated. We define a Gaussian 1-to-2 cloning machine, which copies equally well two conjugate variables such as position and momentum or the two quadrature components of a…

Quantum Physics · Physics 2007-05-23 N. J. Cerf , S. Iblisdir , G. Van Assche

Cloning machines, that is, transformations that achieve the best approximate copying of a quantum state compatible with the no-cloning theorem, have been a fundamental research topic over the last five years. This study is of particular…

Quantum Physics · Physics 2007-05-23 Nicolas J. Cerf

From Ref. [Phys. Rev. Lett. 80(1998)4999] one knows that the quantum states secretly chosen from a certain set can be probabilistically cloned with positive cloning efficiencies if and only if all the states in the set are linearly…

Quantum Physics · Physics 2016-03-24 Pinshu Rui , Wen Zhang , Yanlin Liao , Ziyun Zhang

The cloning of quantum variables with continuous spectra is analyzed. A universal - or Gaussian - quantum cloning machine is exhibited that copies equally well the states of two conjugate variables such as position and momentum. It also…

Quantum Physics · Physics 2009-10-31 N. J. Cerf , A. Ipe , X. Rottenberg

We propose an optical implementation of the Gaussian continuous-variable quantum cloning machines. We construct a symmetric N -> M cloner which optimally clones coherent states and we also provide an explicit design of an asymmetric 1 -> 2…

Quantum Physics · Physics 2009-11-06 Jaromir Fiurasek

We show how to implement the optimal Gaussian $N$-to-$M$ cloning with linear optics and homodyne detection. We also show that the Gaussian $N$-to-$M$ cloning of known-phase coherent states can be performed with the fidelity $\sqrt \frac{2 M…

Quantum Physics · Physics 2007-05-23 Ryo Namiki , Masato Koashi , Nobuyuki Imoto

We investigate the probabilistic cloning and purification of quantum states. The performance of these probabilistic operations is quantified by the average fidelity between the ideal and actual output states. We provide a simple formula for…

Quantum Physics · Physics 2009-11-10 Jaromir Fiurasek

We show that, there are physical means for cloning two non-orthogonal pure states which are secretly chosen from a certain set $% \$={ | \Psi_0 > , | \Psi_1 > }$. The states are cloned through a unitary evolution together with a…

Quantum Physics · Physics 2016-09-08 Lu-Ming Duan , Guang-Can Guo

We study machines that take N identical replicas of a pure qudit state as input and output a set of M_A clones of a given fidelity and another set of $M_B$ clones of another fidelity. The trade-off between these two fidelities is…

Quantum Physics · Physics 2007-05-23 S. Iblisdir , A. Acin , N. Gisin

We propose a scheme for continuous-variable quantum cloning of coherent states with phase-conjugate input modes using linear optics. The quantum cloning machine yields $M$ identical optimal clones from $N$ replicas of a coherent state and…

Quantum Physics · Physics 2009-11-13 Haixia Chen , Jing Zhang

we envisage a novel quantum cloning machine, which takes an input state and produces an output state whose success branch can exist in a linear superposition of multiple copies of the input state and the failure branch exist in a…

Quantum Physics · Physics 2009-01-23 Arun Kumar Pati

We propose a scheme to enhance the fidelity of symmetric quantum cloning machine using a weak measurement. By adjusting the intensity of weak measurement parameter $p$, we obtain the copies with different optimal fidelity. Choosing proper…

Quantum Physics · Physics 2019-01-23 Ming-Hao Wang , Qing-Yu Cai
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