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4 papers · 2 filters
Factorization of numbers with Gauss sums: II. Suggestions for implementations with chirped laser pulses
W. Merkel, S. Wölk, W. P. Schleich +3
We propose three implementations of the Gauss sum factorization schemes discussed in part I of this series: (i) a two-photon transition in a multi-level ladder system induced by a…
Factorization of numbers with Gauss sums: I. Mathematical background
S. Wölk, W. Merkel, W. P. Schleich +2
We use the periodicity properties of generalized Gauss sums to factor numbers. Moreover, we derive rules for finding the factors and illustrate this factorization scheme for variou…
Generation of a wave packet tailored to efficient free space excitation of a single atom
Andrea Golla, Benoit Chalopin, Marianne Bader +6
We demonstrate the generation of an optical dipole wave suitable for the process of efficiently coupling single quanta of light and matter in free space. We employ a parabolic mirr…
Quantum Data Fitting
Nathan Wiebe, Daniel Braun, Seth Lloyd
We provide a new quantum algorithm that efficiently determines the quality of a least-squares fit over an exponentially large data set by building upon an algorithm for solving sys…