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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…

Quantum Physics · Physics 2013-01-01 Li Jing , Yi-Nan Wang , Han-Duo Shi , Liang-Zhu Mu , Heng Fan

We propose a scheme to implement the $1\to2$ universal quantum cloning machine of Buzek et.al [Phys. Rev.A 54, 1844(1996)] in the context of cavity QED. The scheme requires cavity-assisted collision processes between atoms, which cross…

Quantum Physics · Physics 2009-11-10 XuBo Zou , K. Pahlke , W. Mathis

Totally asymmetric simple exclusion processes, consisting of two coupled parallel lattice chains with particles interacting with hard-core exclusion and moving along the channels and between them, are considered. In the limit of strong…

Statistical Mechanics · Physics 2009-11-10 Ekaterina Pronina , Anatoly B. Kolomeisky

Perfect cloning of a known set of states with arbitrary prior probabilities is possible if we allow the cloner to sometimes fail completely. In the optimal case the probability of failure is at its minimum allowed by the laws of quantum…

Quantum Physics · Physics 2016-09-08 E. Bagan , V. Yerokhin , A. Shehu , E. Feldman , J. A. Bergou

We study the mapping which occurs when a single qubit in an arbitrary state interacts with another qubit in a given, fixed state resulting in some unitary transformation on the two qubit system which, in effect, makes two copies of the…

Quantum Physics · Physics 2009-10-31 Chi-Sheng Niu , Robert B. Griffiths

A scheme for the optimal Gaussian cloning of coherent light states at the light-atoms interface is proposed. The distinct feature of this proposal is that the clones are stored in an atomic quantum memory, which is important for…

Quantum Physics · Physics 2009-11-10 Jaromir Fiurasek , Nicolas J. Cerf , Eugene S. Polzik

We re-analyse the Bu\v{z}ek-Hillery Universal Quantum Cloning machine protocol and show that it allows better values for fidelity and Hilbert-Schmidt norm than hitherto reported. This higher value for the fidelity is identical to the…

Quantum Physics · Physics 2015-09-29 D. Gangopadhyay , A. Sinha Roy

Quantum information provides fundamentally different computational resources than classical information. We prove that there is no unitary protocol able to add unknown quantum states belonging to different Hilbert spaces. This is an…

General Physics · Physics 2015-07-14 U. Alvarez-Rodriguez , M. Sanz , L. Lamata , E. Solano

We pose the question whether the asymptotic equivalence between quantum cloning and quantum state estimation, valid at single-copy level, still holds when all the copies are examined jointly. For an N-to-M cloner, we consider the overall…

Quantum Physics · Physics 2014-04-07 Yuxiang Yang , Giulio Chiribella

Unmeasureability of a quantum state has important consequences in practical implementation of quantum computers. Like copying, deleting of an unknown state from among several copies is prohibited. This is called no-deletion prinicple. Here,…

Quantum Physics · Physics 2007-05-23 Arun K. Pati , Samuel L. Braunstein

Suppose we are given two identical copies of an unknown quantum state and we wish to delete one copy from among the given two copies. The quantum no-deletion principle restricts us from perfectly deleting a copy but it does not prohibit us…

Quantum Physics · Physics 2009-11-11 Satyabrata Adhikari

Incompatibility is a feature of quantum theory that sets it apart from classical theory, and the inability to clone an unknown quantum state is one of the most fundamental instances. The no-hiding theorem is another such instance that…

Quantum Physics · Physics 2025-08-12 Matthew Girling , Cristina Cirstoiu , David Jennings

We investigate the cases where a set $S$ of states $\{\ket{\psi_i} \}$ cannot be cloned by itself, but is clonable with the help of another system prepared in state $\hat{\rho}_i$. When $S$ is pair-wise nonorthogonal, it is known that one…

Quantum Physics · Physics 2007-05-23 Koji Azuma , Masato Koashi , Hosho Katsura , Nobuyuki Imoto

Cloning of observables, unlike standard cloning of states, aims at copying the information encoded in the statistics of a class of observables rather then on quantum states themselves. In such a process the emphasis is on the quantum…

Quantum Physics · Physics 2007-08-08 Alessandro Ferraro , Matteo G A Paris

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…

Quantum Physics · Physics 2012-05-28 Karol Bartkiewicz , Adam Miranowicz

Heisenberg's uncertainty principle is usually taken to express a limitation of operational possibilities imposed by quantum mechanics. Here we demonstrate that the full content of this principle also includes its positive role as a…

Quantum Physics · Physics 2007-10-31 P. Busch , T. Heinonen , P. Lahti

A simultaneous realization of the Universal Optimal Quantum Cloning Machine (UOQCM) and of the Universal-NOT gate by a quantum injected optical parametric amplification (QIOPA), is reported. The two processes, forbidden in their exact form…

Quantum Physics · Physics 2009-11-10 Francesco De Martini , Daniele Pelliccia , Fabio Sciarrino

We study the low energy states of finite spin chains with isotropic (Heisenberg) and anisotropic (XY and Ising-like) exchange interaction with uniform and non-uniform coupling constants. We show that for an odd number of sites a spin…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Florian Meier , Jeremy Levy , Daniel Loss

The existence of maximally incompatible quantum observables in the sense of a minimal joint measurability region is investigated. Employing the universal quantum cloning device it is argued that only infinite dimensional quantum systems can…

Quantum Physics · Physics 2014-06-06 Teiko Heinosaari , Jussi Schultz , Alessandro Toigo , Mario Ziman

Recently, the nonlocal optimal probabilistic cloning (NLOPC) of two non-orthogonal qubit states has been proposed [Phys. Rev. A 86, 052332 (2012)] by means of an experimental setup based on a pair of twin photons in a maximally entangled…

Quantum Physics · Physics 2016-11-02 Nataly Cisternas , Gabriel Araneda , Omar Jiménez , Aldo Delgado
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