171 citations
- Heriot-Watt UniversityGB4 papers
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14 papers · 1 filter
Canonical lossless state-space systems: Staircase forms and the Schur algorithm
Ralf L. M. Peeters, Bernard Hanzon, Martine Olivi
A new finite atlas of overlapping balanced canonical forms for multivariate discrete-time lossless systems is presented. The canonical forms have the property that the controllabil…
Balanced realizations of discrete-time stable all-pass systems and the tangential Schur algorithm
Bernard Hanzon, Martine Olivi, Ralf L. M. Peeters
In this paper, the connections are investigated between two different approaches towards the parametrization of multivariable stable all-pass systems in discrete-time. The first ap…
Transport, atom blockade and output coupling in a Tonks-Girardeau gas
L. Rutherford, J. Goold, Th. Busch +1
Recent experiments have demonstrated how quantum-mechanical impurities can be created within strongly correlated quantum gases and used to probe the coherence properties of these s…
A Partial Taxonomy of Substitutability and Interchangeability
Shant Karakashian, Robert Woodward, Berthe Y. Choueiry +2
Substitutability, interchangeability and related concepts in Constraint Programming were introduced approximately twenty years ago and have given rise to considerable subsequent re…
Mimicking the probability distribution of a two-dimensional Grover walk with a single-qubit coin
C. Di Franco, M. McGettrick, Th. Busch
Multi-dimensional quantum walks usually require large coin spaces. Here we show that the non-localized case of the spatial density probability of the two-dimensional Grover walk ca…
The Baire partial quasi-metric space: A mathematical tool for asymptotic complexity analysis in Computer Science
M. A. Cerdà-Uguet, M. P. Schellekens, O. Valero
In 1994, S.G. Matthews introduced the notion of partial metric space in order to obtain a suitable mathematical tool for program verification [Ann. New York Acad. Sci. 728 (1994),…