Berlin 2018 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 10: Statistical Physics I (General)
DY 10.8: Talk
Monday, March 12, 2018, 12:00–12:15, BH-N 333
Random distributions: what doping densities enable entangling gates to be formed in silicon? — •Eleanor Crane1, Thomas Crane2, 3, Nguyen H. Le4, and Andrew J. Fisher1 — 1London Centre for Nanotechnology, University College London, London WC1H 0AH, UK — 2ENS Paris, 45 Rue d'Ulm, 75005 Paris, France — 3Université Sorbonne Paris Cité, Université Paris Diderot - Paris VII, 5 Rue Thomas Mann, 75013 Paris, France — 4Advanced Technology Institute, University of Surrey, Guildford, GU2 7XH, United Kingdom
Entangling the quantum states of impurity atoms in condensed matter is a crucial step towards the creation of a solid state quantum computer. In a whole range of experiments aiming at this, atoms need to be spaced by specific spatial distances. This is also the case in the Stoneham Fisher Greenland scheme [1] for which we determine the density of entangling gates in a randomly doped multi-species silicon sample. We use Poisson point processes, for which we also show a number of properties, and verify our results using a Monte Carlo simulation. These methods are of general interest for Poisson point processes and the fields which use them as models of random physical phenomena.
[1] Stoneham A M, Fisher A J and Greenland P T, 2003, J. Phys.: Condens. Matter 15 L447--L451