365 citations
- California Institute of TechnologyUS4 papers
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27 papers · 1 filter
The Computational Power of the W and GHZ states
Ellie D'Hondt, Prakash Panangaden
It is well understood that the use of quantum entanglement significantly enhances the computational power of systems. Much of the attention has focused on Bell states and their mul…
Nucleation and Growth of bundles of Single-Wall Carbon Nanotubes (C-SWNTs): the Benard-Marangoni Instability (BMI) model
F. Larouche, J. Duquette, L. Cortelezzi +2
A complete explanation of the synthesis of metal-catalyst nanoparticles, and the subsequent nucleation and growth of bundles of C-SWNTs is introduced using a novel model. It is sho…
Quantum state transformations and the Schubert calculus
Sumit Daftuar, Patrick Hayden
Recent developments in mathematics have provided powerful tools for comparing the eigenvalues of matrices related to each other via a moment map. In this paper we survey some of th…
Spectral problems with mixed Dirichlet-Neumann boundary conditions: isospectrality and beyond
Dmitry Jakobson, Michael Levitin, Nikolai Nadirashvili +1
Consider a bounded domain with the Dirichlet condition on a part of the boundary and the Neumann condition on its complement. Does the spectrum of the Laplacian determine uniquely…
Periodic Oscillations of Blood Cell Populations in Chronic Myelogenous Leukemia
Michael C. Mackey, Chunhua Ou, Laurent Pujo-Menjouet +1
We develop some techniques to prove analytically the existence and stability of long period oscillations of stem cell populations in the case of periodic chronic myelogenous leukem…
A Ferromagnetic Lieb-Mattis Theorem
Bruno Nachtergaele, Shannon Starr
We prove ferromagnetic ordering of energy levels for XXX Heisenberg chains of any spin and XXZ spin chains with all spins equal to 1/2. Ferromagnetic ordering means that the minimu…