We present several applications of quantum amplitude amplification to finding claws and collisions in ordered or unordered functions. Our algorithms generalize those of Brassard...
— Much recent research activity has focused on the theory and application of quantum calculus. This branch of mathematics continues to find new and useful applications and there ...
Recent experimental advances have demonstrated technologies capable of supporting scalable quantum computation. A critical next step is how to put those technologies together into...
Tzvetan S. Metodi, Darshan D. Thaker, Andrew W. Cr...
—Consider the following Simultaneous Message Passing (SMP) model for computing a relation f ⊆ X ×Y ×Z. In this model Alice, on input x ∈ X and Bob, on input y ∈ Y, send o...
We study the complexity of some computational problems on finite black-box rings whose elements are encoded as strings of a given length and the ring operations are performed by a ...