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      14-qubit entanglement: creation and coherence

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          Abstract

          We report the creation of Greenberger-Horne-Zeilinger states with up to 14 qubits. By investigating the coherence of up to 8 ions over time, we observe a decay proportional to the square of the number of qubits. The observed decay agrees with a theoretical model which assumes a system affected by correlated, Gaussian phase noise. This model holds for the majority of current experimental systems developed towards quantum computation and quantum metrology.

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          Universal Quantum Simulators

          Lloyd (1996)
          Feynman's 1982 conjecture, that quantum computers can be programmed to simulate any local quantum system, is shown to be correct.
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            Decoherence Free Subspaces for Quantum Computation

            Decoherence in quantum computers is formulated within the Semigroup approach. The error generators are identified with the generators of a Lie algebra. This allows for a comprehensive description which includes as a special case the frequently assumed spin-boson model. A generic condition is presented for error-less quantum computation: decoherence-free subspaces are spanned by those states which are annihilated by all the generators. It is shown that these subspaces are stable to perturbations and moreover, that universal quantum computation is possible within them.
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              Noiseless Quantum Codes

              In this paper we study a model quantum register \(\cal R\) made of \(N\) replicas (cells) of a given finite-dimensional quantum system S. Assuming that all cells are coupled with a common environment with equal strength we show that, for \(N\) large enough, in the Hilbert space of \(\cal R\) there exists a linear subspace \({\cal C}_N\) which is dynamically decoupled from the environment. The states in \({\cal C}_N\) evolve unitarily and are therefore decoherence-dissipation free. The space \({\cal C}_N\) realizes a noiseless quantum code in which information can be stored, in principle, for arbitrarily long time without being affected by errors.
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                Author and article information

                Journal
                30 September 2010
                2011-03-23
                Article
                10.1103/PhysRevLett.106.130506
                1009.6126
                57bc00bb-7da8-4aba-887b-ba26493460a9

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                Custom metadata
                Phys. Rev. Lett. 106, 130506 (2011)
                4 pages, 2 figures, 1 table
                quant-ph

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