Quantum information technologies, on the one hand, and intelligent learning systems, on the
other, are both emergent technologies that are likely to have a transformative impact on our …

Quantum walks, the quantum mechanical counterpart of classical random walks, is an
advanced tool for building quantum algorithms that has been recently shown to constitute a …

Quantum walks are the quantum mechanical analog of classical random walks and an
extremely powerful tool in quantum simulations, quantum search algorithms, and even for …

Photonics is a promising platform for implementing universal quantum information
processing. Its main challenges include precise control of massive circuits of linear optical …

Quantum walks of correlated particles offer the possibility of studying large-scale quantum
interference; simulating biological, chemical, and physical systems; and providing a route to …

In some of the earliest work on quantum computing, Feynman showed how to implement
universal quantum computation with a time-independent Hamiltonian. I show that this …

Quantum walks provide a framework for designing quantum algorithms that is both intuitive
and universal. To leverage the computational power of these walks, it is important to be able …

We use quantum walks to construct a new quantum algorithm for element distinctness and
its generalization. For element distinctness (the problem of finding two equal items among N …

We present an efficient quantum algorithm for simulating the evolution of a quantum state for
a sparse Hamiltonian H over a given time t in terms of a procedure for computing the matrix …

The recent success in quantum annealing, ie, optimization of the cost or energy functions of
complex systems utilizing quantum fluctuations is reviewed here. The concept is introduced …