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173 papers · 1 filter
Spectrum conditions for symmetric extendible states
Geir Ove Myhr, Norbert Lütkenhaus
We analyze bipartite quantum states that admit a symmetric extension. Any such state can be decomposed into a convex combination of states that allow a _pure_ symmetric extension.…
On the chromatic number of random d-regular graphs
Graeme Kemkes, Xavier Pérez-Giménez, Nicholas Wormald
In this work we show that, for any fixed d, random d-regular graphs asymptotically almost surely can be coloured with k colours, where k is the smallest integer satisfying d<2(k-1)…
Growth and characterization of GaAs nanowires on carbon nanotubes composite films: toward flexible nanodevices
P. K. Mohseni, G. Lawson, C. Couteau +3
Poly(ethylene imine) functionalized carbon nanotube thin films, prepared using the vacuum filtration method, were decorated with Au nanoparticles by in situ reduction of HAuCl4 und…
Two-Qubit State Tomography using a Joint Dispersive Read-Out
S. Filipp, P. Maurer, P. J. Leek +8
Quantum state tomography is an important tool in quantum information science for complete characterization of multi-qubit states and their correlations. Here we report a method to…
Specializations of elliptic surfaces, and divisibility in the Mordell-Weil group
Patrick Ingram
Let be an elliptic surface over the curve , defined over a number field , let be a section of , and let be a rational prime. For any non-singular fibre $E_t…
Density of rational points on diagonal quartic surfaces
Adam Logan, David McKinnon, Ronald van Luijk
Let a,b,c,d be nonzero rational numbers whose product is a square, and let V be the diagonal quartic surface in PP^3 defined by ax^4+by^4+cz^4+dw^4=0. We prove that if V contains a…