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quant-ph2000
An Exponentially Fast Quantum Search Algorithm
Goong Chen, Zijian Diao
This paper has been withdrawn by the authors.
quant-ph2000
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…
quant-ph2000
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…
quant-ph2000
The Universality of the Quantum Fourier Transform in Forming the Basis of Quantum Computing Algorithms
Charles M. Bowden, Goong Chen, Zijian Diao +1
The quantum Fourier transform (QFT) is a powerful tool in quantum computing. The main ingredients of QFT are formed by the Walsh-Hadamard transform H and phase shifts P(.), both of…