5 papers
Generalization of Grover's Algorithm to Multiobject Search in Quantum Computing, Part II: General Unitary Transformations
Goong Chen, Shunhua Sun
There are major advantages in a newer version of Grover's quantum algorithm utilizing a general unitary transformation in the search of a single object in a large unsorted database…
Generalization of Grover's Algorithm to Multiobject Search in Quantum Computing, Part I: Continuous Time and Discrete Time
Goong Chen, Stephen A. Fulling, Jeesen Chen
L. K. Grover's search algorithm in quantum computing gives an optimal, quadratic speedup in the search for a single object in a large unsorted database. In this paper, we generaliz…
A Possible New Quantum Algorithm: Arithmetic with Large Integers via the Chinese Remainder Theorem
S. A. Fulling
Residue arithmetic is an elegant and convenient way of computing with integers that exceed the natural word size of a computer. The algorithms are highly parallel and hence natural…
Grover's Algorithm for Multiobject Search in Quantum Computing
G. Chen, S. A. Fulling, M. O. Scully
L. K. Grover's search algorithm in quantum computing gives an optimal, square-root speedup in the search for a single object in a large unsorted database. In this paper, we expound…
Distributional Asymptotic Expansions of Spectral Functions and of the Associated Green Kernels
R. Estrada, S. A. Fulling
Asymptotic expansions of Green functions and spectral densities associated with partial differential operators are widely applied in quantum field theory and elsewhere. The mathema…