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- Brookhaven National LaboratoryUS48 papers
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- Ludwig-Maximilians-Universität MünchenDE45 papers
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23 papers · 1 filter
Quantum Lower Bounds for Fanout
Maosen Fang, Stephen Fenner, Frederic Green +2
We prove several new lower bounds for constant depth quantum circuits. The main result is that parity (and hence fanout) requires log depth circuits, when the circuits are composed…
Finite Size Fluctuations in Interacting Particle Systems
E. Ben-Naim, P. L. Krapivsky
Fluctuations may govern the fate of an interacting particle system even on the mean-field level. This is demonstrated via a three species cyclic trapping reaction with a large, yet…
Universal adiabatic dynamics across a quantum critical point
Anatoli Polkovnikov
We study temporal behavior of a quantum system under a slow external perturbation, which drives the system across a second order quantum phase transition. It is shown that despite…
Spatial Growth of Real-world Networks
Marcus Kaiser, Claus C. Hilgetag
Many real-world networks have properties of small-world networks, with clustered local neighborhoods and low average-shortest path (ASP). They may also show a scale-free degree dis…
Aging in short-ranged attractive colloids: A numerical study
G. Foffi, E. Zaccarelli, S. Buldyrev +2
We study the aging dynamics in a model for dense simple liquids, in which particles interact through a hard-core repulsion complemented by a short-ranged attractive potential, of t…
Extremal Properties of Random Structures
E. Ben-Naim, P. L. Krapivsky, S. Redner
The extremal characteristics of random structures, including trees, graphs, and networks, are discussed. A statistical physics approach is employed in which extremal properties are…