31 citations · 31 across the 1 of their papers we have counts for
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Realization of a General Three-Qubit Quantum Gate
Farrokh Vatan, Colin P. Williams
We prove that a generic three-qubit quantum logic gate can be implemented using at most 98 one-qubit rotations about the - and -axes and 40 CNOT gates, beating an earlier bou…
Universal Quantum Gates for Single Cooper Pair Box Based Quantum Computing
P. Echternach, C. P. Williams, S. C. Dultz +3
We describe a method for achieving arbitrary 1-qubit gates and controlled-NOT gates within the context of the Single Cooper Pair Box (SCB) approach to quantum computing. Such gates…
Fast quantum algorithms for numerical integrals and stochastic processes
Daniel S. Abrams, Colin P. Williams
We discuss quantum algorithms that calculate numerical integrals and descriptive statistics of stochastic processes. With either of two distinct approaches, one obtains an exponent…
Quantum Wavelet Transforms: Fast Algorithms and Complete Circuits
Amir Fijany, Colin P. Williams
The quantum Fourier transform (QFT), a quantum analog of the classical Fourier transform, has been shown to be a powerful tool in developing quantum algorithms. However, in classic…