3.4k citations · 9.4k across the 100 of their papers we have counts for
5 papers · 2 filters
Grover search under localized dephasing
D. Reitzner, M. Hillery
Decoherence in quantum searches, and in the Grover search in particular, has already been extensively studied, leading very quickly to the loss of the quadratic speedup over the cl…
Finding paths in tree graphs with a quantum walk
Daniel Koch, Mark Hillery
In this paper, we analyze the potential for new types of searches using the formalism of scattering random walks on Quantum Computers. Given a particular type of graph consisting o…
Duality games and operational duality relations
Emilio Bagan, John Calsamiglia, Janos A. Bergou +1
We give operational meaning to wave-particle duality in terms of discrimination games. Duality arises as a constraint on the probability of winning these games. The games are playe…
Finding paths with quantum walks or quantum walking through a maze
Daniel Reitzner, Mark Hillery, Daniel Koch
We show that it is possible to use a quantum walk to find a path from one marked vertex to another. In the specific case of stars connected in a chain, one can find the path fr…
Sequential discrimination of qudits by multiple observers
Mark Hillery, Jihane Mimih
We discuss a scheme in which sequential state-discrimination measurements are performed on qudits to determine the quantum state in which they were initially prepared. The qudits b…