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      Experimental one-way quantum computing.

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          Abstract

          Standard quantum computation is based on sequences of unitary quantum logic gates that process qubits. The one-way quantum computer proposed by Raussendorf and Briegel is entirely different. It has changed our understanding of the requirements for quantum computation and more generally how we think about quantum physics. This new model requires qubits to be initialized in a highly entangled cluster state. From this point, the quantum computation proceeds by a sequence of single-qubit measurements with classical feedforward of their outcomes. Because of the essential role of measurement, a one-way quantum computer is irreversible. In the one-way quantum computer, the order and choices of measurements determine the algorithm computed. We have experimentally realized four-qubit cluster states encoded into the polarization state of four photons. We characterize the quantum state fully by implementing experimental four-qubit quantum state tomography. Using this cluster state, we demonstrate the feasibility of one-way quantum computing through a universal set of one- and two-qubit operations. Finally, our implementation of Grover's search algorithm demonstrates that one-way quantum computation is ideally suited for such tasks.

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          Most cited references19

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          Separability Criterion for Density Matrices

          A quantum system consisting of two subsystems is separable if its density matrix can be written as \(\rho=\sum_A w_A\,\rho_A'\otimes\rho_A''\), where \(\rho_A'\) and \(\rho_A''\) are density matrices for the two subsytems. In this Letter, it is shown that a necessary condition for separability is that a matrix, obtained by partial transposition of \(\rho\), has only non-negative eigenvalues. This criterion is stronger than Bell's inequality.
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            Quantum information and computation

            In information processing, as in physics, our classical world view provides an incomplete approximation to an underlying quantum reality. Quantum effects like interference and entanglement play no direct role in conventional information processing, but they can--in principle now, but probably eventually in practice--be harnessed to break codes, create unbreakable codes, and speed up otherwise intractable computations.
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              Separability of Mixed States: Necessary and Sufficient Conditions

              We provide necessary and sufficient conditions for separability of mixed states. As a result we obtain a simple criterion of separability for \(2\times2\) and \(2\times3\) systems. Here, the positivity of the partial transposition of a state is necessary and sufficient for its separability. However, it is not the case in general. Some examples of mixtures which demonstrate the utility of the criterion are considered.
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                Author and article information

                Journal
                Nature
                Nature
                Springer Nature
                1476-4687
                0028-0836
                Mar 10 2005
                : 434
                : 7030
                Affiliations
                [1 ] Institute of Experimental Physics, University of Vienna, Boltzmanngasse 5, 1090 Vienna, Austria. pwalther@quantum.at
                Article
                nature03347
                10.1038/nature03347
                15758991
                b167cafa-4f8d-4fd2-acc5-0f870d4aa3f7
                History

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