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Scattering theory and discrete-time quantum walks
Edgar Feldman, Mark Hillery
We study quantum walks on general graphs from the point of view of scattering theory. For a general finite graph we choose two vertices and attach one half line to each. We are int…
Generalized measurements via programmable quantum processor
Marian Rosko, Vladimir Buzek, Paul Robert Chouha +1
We show that it is possible to control the trade-off between information gain and disturbance in generalized measurements of qudits by utilizing the programmable quantum processor.…
Improving performance of probabilistic programmable quantum processors
Mark Hillery, Mario Ziman, Vladimir Buzek
We present a systematic analysis how one can improve performance of probabilistic programmable quantum processors. We generalize a simple Vidal-Masanes-Cirac processor that realize…
Quantum walks based on an interferometric analogy
Mark Hillery, Janos Bergou, Edgar Feldman
There are presently two models for quantum walks on graphs. The "coined" walk uses discrete time steps, and contains, besides the particle making the walk, a second quantum system,…