1,212 research outputs found
Explanation and observability of diffraction in time
Diffraction in time (DIT) is a fundamental phenomenon in quantum dynamics due
to time-dependent obstacles and slits. It is formally analogous to diffraction
of light, and is expected to play an increasing role to design coherent matter
wave sources, as in the atom laser, to analyze time-of-flight information and
emission from ultrafast pulsed excitations, and in applications of coherent
matter waves in integrated atom-optical circuits. We demonstrate that DIT
emerges robustly in quantum waves emitted by an exponentially decaying source
and provide a simple explanation of the phenomenon, as an interference of two
characteristic velocities. This allows for its controllability and
optimization.Comment: 4 pages, 6 figure
Quantum neural networks with multi-qubit potentials
We propose quantum neural networks that include multi-qubit interactions in
the neural potential leading to a reduction of the network depth without losing
approximative power. We show that the presence of multi-qubit potentials in the
quantum perceptrons enables more efficient information processing tasks such as
XOR gate implementation and prime numbers search, while it also provides a
depth reduction to construct distinct entangling quantum gates like CNOT,
Toffoli, and Fredkin. This simplification in the network architecture paves the
way to address the connectivity challenge to scale up a quantum neural network
while facilitates its training.Comment: 11 pages, 6 figure
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