27 research outputs found
Quantum teleportation with nonclassical correlated states in noninertial frames
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
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
An array of N subsequent Laguerre polynomials is interpreted as an
eigenvector of a non-Hermitian tridiagonal Hamiltonian 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 Hermitian in the respective {\em ad hoc} Hilbert spaces) are
discussed. Then, for illustration, the first four simplest, parametric
definitions of inner products with and 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 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
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
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
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
Giannacopoulos. Alternate Parallel Processing Approach for FEM[J
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