27 research outputs found

    Quantum teleportation with nonclassical correlated states in noninertial frames

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    Quantum teleportation is studied in noninertial frame, for fermionic case, when Alice and Bob share a general nonclassical correlated state. In noninertial frames two fidelities of teleportation are given. It is found that the average fidelity of teleportation from a separable and nonclassical correlated state is increasing with the amount of nonclassical correlation of the state. However, for any particular nonclassical correlated state, the fidelity of teleportation decreases by increasing the acceleration.Comment: 10 pages, 3 figures, expanded version to appear in Quantum Inf. Proces

    Application of Pseudo-Hermitian Quantum Mechanics to a Complex Scattering Potential with Point Interactions

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    We present a generalization of the perturbative construction of the metric operator for non-Hermitian Hamiltonians with more than one perturbation parameter. We use this method to study the non-Hermitian scattering Hamiltonian: H=p^2/2m+\zeta_-\delta(x+a)+\zeta_+\delta(x-a), where \zeta_\pm and a are respectively complex and real parameters and \delta(x) is the Dirac delta function. For regions in the space of coupling constants \zeta_\pm where H is quasi-Hermitian and there are no complex bound states or spectral singularities, we construct a (positive-definite) metric operator \eta and the corresponding equivalent Hermitian Hamiltonian h. \eta turns out to be a (perturbatively) bounded operator for the cases that the imaginary part of the coupling constants have opposite sign, \Im(\zeta_+) = -\Im(\zeta_-). This in particular contains the PT-symmetric case: \zeta_+ = \zeta_-^*. We also calculate the energy expectation values for certain Gaussian wave packets to study the nonlocal nature of \rh or equivalently the non-Hermitian nature of \rH. We show that these physical quantities are not directly sensitive to the presence of PT-symmetry.Comment: 22 pages, 4 figure

    An exactly solvable quantum-lattice model with a tunable degree of nonlocality

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    An array of N subsequent Laguerre polynomials is interpreted as an eigenvector of a non-Hermitian tridiagonal Hamiltonian HH with real spectrum or, better said, of an exactly solvable N-site-lattice cryptohermitian Hamiltonian whose spectrum is known as equal to the set of zeros of the N-th Laguerre polynomial. The two key problems (viz., the one of the ambiguity and the one of the closed-form construction of all of the eligible inner products which make HH Hermitian in the respective {\em ad hoc} Hilbert spaces) are discussed. Then, for illustration, the first four simplest, kk-parametric definitions of inner products with k=0,k=1,k=2k=0,k=1,k=2 and k=3k=3 are explicitly displayed. In mathematical terms these alternative inner products may be perceived as alternative Hermitian conjugations of the initial N-plet of Laguerre polynomials. In physical terms the parameter kk may be interpreted as a measure of the "smearing of the lattice coordinates" in the model.Comment: 35 p

    Non-Hermitian Hamiltonians with a Real Spectrum and Their Physical Applications

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    We present an evaluation of some recent attempts at understanding the role of pseudo-Hermitian and PT-symmetric Hamiltonians in modeling unitary quantum systems and elaborate on a particular physical phenomenon whose discovery originated in the study of complex scattering potentials.Comment: 9 pages, contributed to Homi Bhabha Centenary Conference on Non-Hermitian Hamiltonians in Quantum Physics (8th International Workshop on Pseudo-Hermitian Hamiltonians in Quantum Physics), held in Mumbai, January 13-16, 200

    Presenter: Graduate Student M.Sc. program presenter in platform presentation. A Clustered SMT Architecture for Scalable Embedded Processors ABSTRACT

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    Power consumption and wire delays are two limiting factors in designing embedded systems with a centralized architecture. Traditionally, the majority of embedded systems have used either VLIW or superscalar architectures. Recently, Simultaneous Multithreaded (SMT) architecture processors have appeared commercially such as the Intel Pentium 4 and the IBM Power 5. SMT architectures differ from superscalar processors in allowing multiple threads to execute concurrently and share resources. This allows better utilization of processor resources and potentially better performance. Recently, several studies have been exploring SMT architectures for embedded systems. Clustering is a technique by which resources are partitioned between threads to reduce wire delays, complexity, and power consumption, as well as enhance scalability. These advantages make clustering suitable for embedded systems, which favor cost and power consumption over performance. In this work we study the different clustering options of an SMT processor favoring the reduction of power consumption and their effects on performance. We concentrate on how new processor features such as clustered SMT can be tailored to benefit embedded processors. CLUSTERED SMT EMBEDDED PROCESSORS Embedded processor architectures differ from general purpose processor architectures in thei

    Finite element sparse matrix vector multiplication on graphic processing units

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    A wide class of finite-element (FE) electromagnetic applications requires computing very large sparse matrix vector multiplications (SMVM). Due to the sparsity pattern and size of the matrices, solvers can run relatively slowly. The rapid evolution of graphic processing units (GPUs) in performance, architecture, and programmability make them very attractive platforms for accelerating computationally intensive kernels such as SMVM. This work presents a new algorithm to accelerate the performance of the SMVM kernel on graphic processing units

    Finite-Element Sparse Matrix Vector Multiplication on Graphic Processing Units

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    Enhancing the Performance of Conjugate Gradient Solvers on Graphic Processing Units

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    Giannacopoulos. Alternate Parallel Processing Approach for FEM[J

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    In this work we present a new alternate way to formulate the finite element method (FEM) for parallel processing based on the solution of single mesh elements called FEM-SES. The key idea is to decouple the solution of a single element from that of the whole mesh, thus exposing parallelism at the element level. Individual element solutions are then superimposed node-wise using a weighted sum over concurrent nodes. A classic 2-D electrostatic problem is used to validate the proposed method obtaining accurate results. Results show that the number of iterations of the proposed FEM-SES method scale sublinearly with the number of unknowns. Two generations of CUDA enabled NVIDIA GPUs were used to implement the FEM-SES method and the execution times were compared to the classic FEM showing important performance benefits
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