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The method of quantum cloning is divided into two main categories: approximate and probabilistic quantum cloning. The former method is used to approximate an unknown quantum state deterministically, and the latter can be used to faithfully…

Quantum Physics · Physics 2015-05-27 Hongwei Chen , Dawei Lu , Bo Chong , Gan Qin , Xianyi Zhou , Xinhua Peng , Jiangfeng Du

Here we describe a Nuclear Magnetic Resonance (NMR) experiment that uses a three qubit NMR device to implement the one to two approximate quantum cloning network of Buzek et al.

Quantum Physics · Physics 2007-05-23 H. K. Cummins , C. Jones , A. Furze , N. F. Soffe , M. Mosca , J. M. Peach , J. A. Jones

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

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…

Quantum Physics · Physics 2009-11-13 Hongwei Chen , Xianyi Zhou , Dieter Suter , Jiangfeng Du

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,…

Quantum Physics · Physics 2022-08-31 Chloe Kim , Eric Chitambar

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

The security of quantum cryptography is guaranteed by the no-cloning theorem, which implies that an eavesdropper copying transmitted qubits in unknown states causes their disturbance. Nevertheless, in real cryptographic systems some level…

Quantum Physics · Physics 2013-05-06 Karol Bartkiewicz , Karel Lemr , Antonín Černoch , Jan Soubusta , Adam Miranowicz

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…

Quantum Physics · Physics 2015-05-19 Xin-Yu Pan , Gang-Qin Liu , Li-Li Yang , Heng Fan

We present the results of a linear optics photonic implementation of a quantum circuit that simulates a phase covariant cloner, by using two different degrees of freedom of a single photon. We experimentally simulate the action of two…

Quantum Physics · Physics 2017-12-04 Laura T. Knoll , Ignacio H. López Grande , Miguel A. Larotonda

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…

Quantum Physics · Physics 2010-03-30 Michael Siomau , Stephan Fritzsche

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 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…

Quantum Physics · Physics 2009-11-07 Heng Fan , Hiroshi Imai , Keiji Matsumoto , Xiang-Bin Wang

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…

Quantum Physics · Physics 2009-09-10 Karol Bartkiewicz , Adam Miranowicz , Şahin Kaya Özdemir

Nuclear Magnetic Ressonance (NMR) is a widely used technique, with a long history of applications in chemestry, medicine, and material science. Twenty years ago, it emerged as a reliable source for quantum computing too, since the work of…

Quantum Physics · Physics 2021-02-24 José L. Figueiredo

Nuclear magnetic resonance (NMR) has been widely used in the context of quantum information processing (QIP). However, despite the great similarities between NMR and nuclear quadrupole resonance (NQR), no experimental implementation for QIP…

We present Quantum Cloning Machines (QCM) that transform N identical qubits into $M>N$ identical copies and we prove that the fidelity (quality) of these copies is optimal. The connection between cloning and measurement is discussed in…

Quantum Physics · Physics 2009-01-23 N. Gisin , S. Massar

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…

Quantum Physics · Physics 2009-10-31 D. Bruss , M. Cinchetti , G. M. D'Ariano , C. Macchiavello

Simulations of nuclear magnetic resonance (NMR) experiments can be an important tool for extracting information about molecular structure and optimizing experimental protocols but are often intractable on classical computers for large…

Though the BB84 protocol has provable security over a noiseless quantum channel, the security is not proven over current noisy technology. The level of tolerable error on such systems is still unclear, as is how much information about a raw…

Quantum Physics · Physics 2024-09-25 Brian Pigott , Elizabeth Campolongo , Hardik Routray , Alex Khan

We report an ensemble nuclear magnetic resonance (NMR) implementation of a quantum lattice gas algorithm for the diffusion equation. The algorithm employs an array of quantum information processors sharing classical information, a novel…

Quantum Physics · Physics 2007-05-23 Marco A. Pravia , Zhiying Chen , Jeffrey Yepez , David G. Cory
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