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Related papers: Optimal 1->M universal quantum cloning via spin ne…

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The optimal N to M ($M>N$) quantum cloning machines for the d-level system are presented. The unitary cloning transformations achieve the bound of the fidelity.

Quantum Physics · Physics 2009-11-07 Heng Fan , Keiji Matsumoto , Miki Wadati

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

We establish the best possible approximation to a perfect quantum cloning machine which produces two clones out of a single input. We analyze both universal and state-dependent cloners. The maximal fidelity of cloning is shown to be 5/6 for…

Quantum Physics · Physics 2009-10-30 D. Bruss , D. P. DiVincenzo , A. Ekert , C. A. Fuchs , C. Macchiavello , J. A. Smolin

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

The optimal phase covariant cloning machine (PQCM) broadcasts the information associated to an input qubit into a multi-qubit systems, exploiting a partial a-priori knowledge of the input state. This additional a priori information leads to…

Quantum Physics · Physics 2009-11-13 Fabio Sciarrino , Francesco De Martini

A system of unitary transformations providing two optimal copies of an arbitrary input cubit is obtained. An algorithm based on classical Boolean algebra and allowing one to find any unitary transformation realized by the quantum CNOT…

Quantum Physics · Physics 2009-11-07 V. N. Dumachev , S. V. Orlov

We derive an explicit Hamiltonian for copying the basis up and down states of a quantum two-state system - a qubit - onto n "copy" qubits initially all prepared in the down state. In terms of spin components, for spin-1/2 particle spin…

Quantum Physics · Physics 2014-11-18 Dima Mozyrsky , Vladimir Privman , Mark Hillery

We propose and analyze an efficient high-dimensional quantum state transfer scheme through an $XXZ$-Heisenberg spin chain in an inhomogeneous magnetic field. By the use of a combination of coherent quantum coupling and free spin-wave…

Quantum Physics · Physics 2015-10-27 Zhe Yang , Ming Gao , Wei Qin

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

It is shown that any quantum operation that perfectly clones the entanglement of all maximally-entangled qubit pairs cannot preserve separability. This ``entanglement no-cloning'' principle naturally suggests that some approximate cloning…

Quantum Physics · Physics 2009-11-10 Louis-Philippe Lamoureux , Patrick Navez , Jaromir Fiurasek , Nicolas J. Cerf

Attempts at cloning a quantum system result in the introduction of imperfections in the state of the copies. This is a consequence of the no-cloning theorem, which is a fundamental law of quantum physics and the backbone of security for…

Quantum Physics · Physics 2016-08-17 Frédéric Bouchard , Robert Fickler , Robert W Boyd , Ebrahim Karimi

Quantum cloning machine for arbitrary mixed states in symmetric subspace is proposed. This quantum cloning machine can be used to copy part of the output state of another quantum cloning machine and is useful in quantum computation and…

Quantum Physics · Physics 2009-11-10 Heng Fan

We present a unified universal quantum cloning machine, which combines several different existing universal cloning machines together including the asymmetric case. In this unified framework, the identical pure states are projected equally…

Quantum Physics · Physics 2013-05-29 Yi-Nan Wang , Han-Duo Shi , Zhao-Xi Xiong , Li Jing , Xi-Jun Ren , Liang-Zhu Mu , Heng Fan

We propose a probabilistic quantum cloning scheme using Greenberger-Horne-Zeilinger states, Bell basis measurements, single-qubit unitary operations and generalized measurements, all of which are within the reach of current technology.…

Quantum Physics · Physics 2009-11-06 Chuan-Wei Zhang , Chuan-Feng Li , Zi-Yang Wang , Guang-Can Guo

Due to the axioms of quantum mechanics, perfect cloning of an unknown quantum state is impossible. But since imperfect cloning is still possible, a question arises: "Is there an optimal quantum cloning machine?" Buzek and Hillery answer to…

Quantum Physics · Physics 2016-11-15 Azam Kheirollahi , Hamidreza Mohammadi , Seyed Javad Akhtarshenasc

Quantum cloning machines for equatorial qubits are studied. For the case of 1 to 2 phase-covariant quantum cloning machine, we present the networks consisting of quantum gates to realize the quantum cloning transformations. The copied…

Quantum Physics · Physics 2009-11-07 Heng Fan , Keiji Matsumoto , Xiang-Bin Wang , Miki Wadati

A uniformly coupled double quantum Hamiltonian for a spin chain has recently been implemented experimentally. We propose a method for the determination of initial quantum states that will provide perfect or near-perfect state transmission…

Quantum Physics · Physics 2015-06-11 Zhao-Ming Wang , Lian-Ao Wu , C. Allen Bishop , Yong-Jian Gu , Mark S. Byrd

We investigate the universal asymmetric cloning of states in a Hilbert space of arbitrary dimension. We derive the class of optimal and fully asymmetric 1->3 cloners, which produce three copies, each having a different fidelity. A simple…

Quantum Physics · Physics 2007-05-23 Jaromir Fiurasek , Radim Filip , Nicolas J. Cerf

A coupled array of $N$ identical cavities, each of which contains a five-level atom is investigated. The results show that the atoms via the exchange of virtual photons can be effectively equal to spin 1 Heisenberg model under certain…

Quantum Physics · Physics 2015-05-13 Ling Zhou , Wei Bin Yan , Xin Yu Zhao

Probabilistic quantum cloning and identifying machines can be constructed via unitary-reduction processes [Duan and Guo, Phys. Rev. Lett. 80, 4999 (1998)]. Given the cloning (identifying) probabilities, we derive an explicit representation…

Quantum Physics · Physics 2009-10-31 Chuan-Wei Zhang , Zi-Yang Wang , Chuan-Feng Li , Guang-Can Guo