Quantum copying: A network

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Quantum copying: A network

V. Bužek, S. L. Braunstein, M. Hillery, and D. Bruß 1 Optics Section, The Blackett Laboratory, Imperial College, London SW7 2BZ, United Kingdom 2 Institute of Physics, Slovak Academy of Sciences, Dubravská cesta 9, 842 28 Bratislava, Slovakia 3 University of Wales, Dean Street, Bangor LL57 1UT, United Kingdom 4 Department of Physics and Astronomy, Hunter College, CUNY, 695 Park Avenue, New York...

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A Hamiltonian for Quantum Copying

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 (n ≥ 1) initially all prepared in the down state. In terms of spin components , for spin-1 2 particle spin states, the resulting Hamiltonian involves n-and (n + 1)-spin interactions. The case n = 1 also corresponds to a quantum-computing controlled-NOT gate.

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Hamiltonian for Quantum Copying

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 (n ≥ 1) initially all prepared in the down state. In terms of spin components , for spin-1 2 particle spin states, the resulting Hamiltonian involves n-and (n + 1)-spin interactions. The case n = 1 also corresponds to a quantum-computing controlled-NOT gate.

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Network growth by copying.

We introduce a growing network model in which a new node attaches to a randomly selected node, as well as to all ancestors of the target node. This mechanism produces a sparse, ultrasmall network where the average node degree grows logarithmically with network size while the network diameter equals 2. We determine basic geometrical network properties, such as the size dependence of the number o...

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A quantum-copying machine for equatorial qubits

Bužek and Hillery proposed a universal quantum-copying machine (UQCM) (i.e., transformation) to analyze the possibility of cloning arbitrary states. The UQCM copies quantum-mechanical states with the quality of its output does not depend on the input. We propose a slightly different transformation to analyze a restricted set of input states. We impose the conditions (I) the density matrices of ...

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ژورنال

عنوان ژورنال: Physical Review A

سال: 1997

ISSN: 1050-2947,1094-1622

DOI: 10.1103/physreva.56.3446