70 citations · 125 across the 4 of their papers we have counts for
4 papers
Search on a Fractal Lattice using a Quantum Random Walk
Apoorva Patel, K. S. Raghunathan
The spatial search problem on regular lattice structures in integer number of dimensions has been studied extensively, using both coined and coinless quantum walks. The re…
Search on a Hypercubic Lattice through a Quantum Random Walk: II. d=2
Apoorva Patel, K. S. Raghunathan, Md. Aminoor Rahaman
We investigate the spatial search problem on the two-dimensional square lattice, using the Dirac evolution operator discretised according to the staggered lattice fermion formalism…
Quantum Random Walks without a Coin Toss
Apoorva Patel, K. S. Raghunathan, Pranaw Rungta
We construct a quantum random walk algorithm, based on the Dirac operator instead of the Laplacian. The algorithm explores multiple evolutionary branches by superposition of states…
Quantum Random Walks do not need a Coin Toss
Apoorva Patel, K. S. Raghunathan, Pranaw Rungta
Classical randomized algorithms use a coin toss instruction to explore different evolutionary branches of a problem. Quantum algorithms, on the other hand, can explore multiple evo…