329 citations · 329 across the 3 of their papers we have counts for
3 papers
A new quantum ripple-carry addition circuit
Steven A. Cuccaro, Thomas G. Draper, Samuel A. Kutin +1
We present a new linear-depth ripple-carry quantum addition circuit. Previous addition circuits required linearly many ancillary qubits; our new adder uses only a single ancillary…
Flows that are sums of hamiltonian cycles in Cayley graphs on abelian groups
Dave Morris, Joy Morris, David P. Moulton
If X is any connected Cayley graph on any finite abelian group, we determine precisely which flows on X can be written as a sum of hamiltonian cycles. (This answers a question of B…
A general notion of visiblity graphs
Mike Develin, Stephen Hartke, David Petrie Moulton
We define a natural class of graphs by generalizing prior notions of visibility, allowing the representing regions and sightlines to be arbitrary. We consider mainly the case of co…