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Following the work of Niu and Griffiths, in \emph{Phys.Rev.A 58, 4377(1998)}, we shall investigate the problem, how to design the optimal quantum cloning machines (QCMs) for qubit system, with the help of Bloch-sphere representation. In…

量子物理 · 物理学 2010-04-30 Xiaohua Wu , Fei Wu

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…

量子物理 · 物理学 2009-11-13 Fabio Sciarrino , Francesco De Martini

We find an optimal quantum cloning machine, which clones qubits of arbitrary symmetrical distribution around the Bloch vector with the highest fidelity. The process is referred to as phase-independent cloning in contrast to the standard…

量子物理 · 物理学 2010-11-02 Karol Bartkiewicz , Adam Miranowicz

We present the experimental realization of optimal symmetric and asymmetric phase-covariant 1->2 cloning of qubit states using fiber optics. State of each qubit is encoded into a single photon which can propagate through two optical fibers.…

量子物理 · 物理学 2009-11-13 Lucie Bartuskova , Miloslav Dusek , Antonin Cernoch , Jan Soubusta , Jaromir Fiurasek

It is known that in phase covariant quantum cloning the equatorial states on the Bloch sphere can be cloned with a fidelity higher than the optimal bound established for universal quantum cloning. We generalize this concept to include other…

量子物理 · 物理学 2009-11-07 V. Karimipour , A. T. Rezakhani

We study the phase-covariant quantum cloning machine for qudits, i.e. the input states in d-level quantum system have complex coefficients with arbitrary phase but constant module. A cloning unitary transformation is proposed. After…

量子物理 · 物理学 2009-11-07 Heng Fan , Hiroshi Imai , Keiji Matsumoto , Xiang-Bin Wang

We consider an N -> M quantum cloning transformation acting on pure two-level states lying on the equator of the Bloch sphere. An upper bound for its fidelity is presented, by establishing a connection between optimal phase covariant…

量子物理 · 物理学 2009-10-31 D. Bruss , M. Cinchetti , G. M. D'Ariano , C. Macchiavello

We analyze the problem of approximate quantum cloning when the quantum state is between two latitudes on the Bloch's sphere. We present an analytical formula for the optimized 1-to-2 cloning. The formula unifies the universal quantum…

量子物理 · 物理学 2008-06-23 Jia-Zhong Hu , Zong-Wen Yu , Xiang-Bin Wang

We report on two optical realizations of the $1 \to 2$ asymmetric phase-covariant cloning machines for polarization states of single photons. The experimental setups combine two-photon interference and tunable polarization filtering that…

量子物理 · 物理学 2009-11-13 Jan Soubusta , Lucie Bartuskova , Antonin Cernoch , Miloslav Dusek , Jaromir Fiurasek

We study state-dependent quantum cloning which can outperform universal cloning. This is possible by using some a priori information on a given quantum state to be cloned. Specifically, we propose a generalization and optical implementation…

量子物理 · 物理学 2012-05-28 Karol Bartkiewicz , Adam Miranowicz

After the appearance of the no-cloning theorem, approximate quantum cloning machines (QCMs) have become one of the most well-studied subject in quantum information theory. Among several measures to quantify the performance of a QCM,…

量子物理 · 物理学 2022-08-31 Chloe Kim , Eric Chitambar

We consider cloning transformations of equatorial qubits and qutrits, with the transformation covariant for rotation of the phases. The optimal cloning maps are derived without simplifying assumptions from first principles, for any number…

量子物理 · 物理学 2009-11-10 G. M. D'Ariano , C. Macchiavello

A symmetric 1 to 2 quantum cloning machine (QCM) is presented that provides high-fidelity copies with $0.90 \le F \le 0.95$ for all pure (single-qubit) input states from a given meridian of the Bloch sphere. \cor{Emphasize is placed…

量子物理 · 物理学 2010-03-30 Michael Siomau , Stephan Fritzsche

We report on experimental implementation of the optimal universal asymmetric 1->2 quantum cloning machine for qubits encoded into polarization states of single photons. Our linear optical machine performs asymmetric cloning by partially…

量子物理 · 物理学 2015-05-14 Antonin Cernoch , Jan Soubusta , Lucie Celechovska , Miloslav Dusek , Jaromir Fiurasek

Here we report an experimental realization of optimal phase-covariant quantum cloning machine with a single electron spin in solid state system at room temperature. The involved three states of two logic qubits are encoded physically in…

量子物理 · 物理学 2015-05-19 Xin-Yu Pan , Gang-Qin Liu , Li-Li Yang , Heng Fan

We propose a quantum cloning machine, which clones a qubit into two clones assuming known modulus of expectation value of Pauli Z-matrix. The process is referred to as the mirror phase-covariant cloning, for which the input state is a…

量子物理 · 物理学 2009-09-10 Karol Bartkiewicz , Adam Miranowicz , Şahin Kaya Özdemir

The experimental realization of optimal symmetric phase-covariant 1->2 cloning of qubit states is presented. The qubits are represented by polarization states of photons generated by spontaneous parametric down-conversion. The experiment is…

量子物理 · 物理学 2009-11-13 A. Cernoch , L. Bartuskova , J. Soubusta , M. Jezek , J. Fiurasek , M. Dusek

We study mechanisms that allow one to synchronize the quantum phase of two qubits relative to a fixed basis. Starting from one qubit in a fixed reference state and the other in an unknown state, we find that contrary to the impossibility of…

量子物理 · 物理学 2016-11-04 Lukas J. Fiderer , Marek Kuś , Daniel Braun

While exact cloning of an unknown quantum state is prohibited by the linearity of quantum mechanics, approximate cloning is possible and has been used, e.g., to derive limits on the security of quantum communication protocols. In the case…

量子物理 · 物理学 2009-11-13 Hongwei Chen , Xianyi Zhou , Dieter Suter , Jiangfeng Du

We study the minimal input sets which can determine completely the universal and the phase-covariant quantum cloning machines. We find that the universal quantum cloning machine, which can copy arbitrary input qubit equally well, however…

量子物理 · 物理学 2013-01-01 Li Jing , Yi-Nan Wang , Han-Duo Shi , Liang-Zhu Mu , Heng Fan
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