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We study quantum cloning machines (QCM) that act on an unknown N-level quantum state and make M copies. We give a formula for the maximum of the fidelity of cloning and exhibit the unitary transformations that realize this optimal fidelity.…

Quantum Physics · Physics 2009-10-31 Sergio Albeverio , Shao-Ming Fei

A transformation achieving the optimal symmetric N-to-M cloning of coherent states is presented. Its implementation only requires a phase-insensitive linear amplifier and a network of beam splitters. An experimental demonstration of this…

Quantum Physics · Physics 2009-11-06 Samuel L. Braunstein , Nicolas J. Cerf , Sofyan Iblisdir , Peter van Loock , Serge Massar

Here, asymmetric phase-covariant quantum cloning machines are defined and trade-off between qualities of their outputs and its impact on entanglement properties of the outputs are studies. In addition, optimal families among these cloners…

Quantum Physics · Physics 2008-04-23 A. T. Rezakhani , S. Siadatnejad , A. H. Ghaderi

Quantum cloning of two identical mixed qubits $\rho \otimes \rho $ is studied. We propose the quantum cloning transformations not only for the triplet (symmetric) states but also for the singlet (antisymmetric) state. We can copy these two…

Quantum Physics · Physics 2007-07-12 H. Fan , B. Y. Liu , K. J. Shi

We compute entanglement cost and distillable entanglement of states supported on symmetric subspace. Not only giving general formula, we apply them to the output states of optimal cloning machines. Surprisingly, under some settings, the…

Quantum Physics · Physics 2007-08-24 Keiji Matsumoto

We derive a tight upper bound for the fidelity of a universal N to M qubit cloner, valid for any M \geq N, where the output of the cloner is required to be supported on the symmetric subspace. Our proof is based on the concatenation of two…

Quantum Physics · Physics 2009-01-23 D. Bruss , A. Ekert , C. Macchiavello

It is well known that quantum theory forbids the exact copying of an unknown quantum state. Therefore in broadcasting of classical information by a quantum channel an additional contribution to the error in the decoding is expected. We…

Quantum Physics · Physics 2007-05-23 A. E. Allahverdyan , D. B. Saakian

The efficacies of maximally and that of non-maximally entangled mixed states as teleportation channels have been studied. A new class of non-maximally entangled mixed states have been proposed also. Their advantages as quantum teleportation…

Quantum Physics · Physics 2020-07-22 Sovik Roy

In this work, we extensively study the problem of broadcasting of quantum correlations. This includes broadcasting of quantum entanglement as well as correlations that go beyond the notion of entanglement. It is quite well known from the…

Quantum Physics · Physics 2016-04-13 Sourav Chatterjee , Sk Sazim , Indranil Chakrabarty

We propose a scheme of continuous-variable reversible telecloning, which broadcast the information of an unknown state without loss from a sender to several spatially separated receivers exploiting multipartite entanglement as quantum…

Quantum Physics · Physics 2009-11-11 Jing Zhang , Changde Xie , Kunchi Peng

We show that the distribution of information at the output of the quantum cloner can be efficiently controlled via preparation of the quantum cloner. We present a universal cloning network with the help of which asymmetric cloning can be…

Quantum Physics · Physics 2007-05-23 V. Buzek , M. Hillery , R. Bednik

Despite their fundamental importance in dictating the quantum mechanical properties of a system, ground states of many-body local quantum Hamiltonians form a set of measure zero in the many-body Hilbert space. Hence determining whether a…

Disordered Systems and Neural Networks · Physics 2021-06-23 Michael Matty , Yi Zhang , T. Senthil , Eun-Ah Kim

We establish a connection between optimal quantum cloning and optimal state estimation for d-dimensional quantum systems. In this way we derive an upper limit on the fidelity of state estimation for d-dimensional pure quantum states and,…

Quantum Physics · Physics 2009-10-31 D. Bruss , C. Macchiavello

State-dependent cloning machines that have so far been considered either deterministically copy a set of states approximately, or probablistically copy them exactly. In considering the case of two equiprobable pure states, we derive the…

Quantum Physics · Physics 2009-10-31 Anthony Chefles , Stephen M. Barnett

We investigate a new class of quantum cloning machines that equally duplicate all real states in a Hilbert space of arbitrary dimension. By using the no-signaling condition, namely that cloning cannot make superluminal communication…

Quantum Physics · Physics 2009-11-10 Patrick Navez , Nicolas J. Cerf

In this work,We investigate the problem of secretly broadcasting of three-qubit entangled state between two distant partners. The interesting feature of this problem is that starting from two particle entangled state shared between two…

Quantum Physics · Physics 2009-11-13 Satyabrata Adhikari , B. S. Choudhury

We study an initially inverted three-level atom in the lambda configuration embedded in a waveguide, interacting with a propagating single-photon pulse. Depending on the temporal shape of the pulse, the system behaves either as an optimal…

Quantum Physics · Physics 2012-08-30 D. Valente , Y. Li , J. P. Poizat , J. M. Gerard , L. C. Kwek , M. F. Santos , A. Auffeves

Complementarity have been an intriguing feature of physical systems for a long time. In this work we establish a new kind of complimentary relations in the frame work of quantum information processing tasks. In broadcasting of entanglement…

Quantum Physics · Physics 2016-08-03 Jaya Chaubey , Sourav Chatterjee , Indranil Chakrabarty

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

Optimal quantum cloning is the process of making one or more copies of an arbitrary unknown input quantum state with the highest possible fidelity. All reported demonstrations of quantum cloning have so far been limited to copying…