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31 documents, page 1 of 4

Entanglement distribution for a practical quantum-dot-based quantum processor architecture

We propose a quantum dot (QD) architecture for enabling universal quantum information processing. Quantum registers, consisting of arrays of vertically stacked self-assembled semiconductor QDs, are connected by chains of in-plane self-assembled dots. We propose an entanglement distributor, a device for producing and distributing maximally entangled qubits on demand, communicated through in-plane dot chains. This enables the transmission of entanglement to spatially separated register stacks, ...

Characterising continuous functions on compact spaces.

Knight, RW (2006)
We consider the following problem: given a set X and a function T : X andrightarrow; X, does there exist a compact Hausdorff topology on X which makes T continuous? We characterize such functions in terms of their orbit structure. Given the generality of the problem, the characterization turns out to be surprisingly simple and elegant. Amongst other results, we also characterize homeomorphisms on compact metric spaces.

Rhombus filtrations and Rauzy algebras

Peach introduced rhombal algebras associated to quivers given by tilings of the plane by rhombi. We develop general techniques to analyze rhombal algebras, including a filtration by what we call rhombus modules. We introduce a way to relate the infinite-dimensional rhombal algebra corresponding to a complete tiling of the plane to finite-dimensional algebras corresponding to finite portions of the tiling. Throughout, we apply our general techniques to the special case of the Rauzy tiling, whi...

A Wilson line picture of the Levin-Wen partition functions

Lattice Hamiltonians (e.g. Levin and Wen 2005 Phys. Rev. B 71 045110) can be constructed that have a low energy description, that is a doubled Chern–Simons (CS) theory—two independent opposite chirality topological sectors. We show that the partition function of these theories is an expectation of Wilson loops that form a link in 2+1 dimensional spacetime known in the mathematical literature as chain–mail. This geometric construction establishes a concrete connection between the lattice model...

On Young modules of general linear groups,  

We study ℓ-permutation modules of finite general linear groups GLn(q) acting on partial flags in the natural module, where the coefficient field of the modules has characteristic ℓ, for ℓandnmid;q. We call the indecomposable summands of these permutation modules linear Young modules. We determine their vertices and Green correspondents, by methods relying only on the representation theory of GLn(q). Furthermore, we show that when the multiplicative order of q modulo ℓ is strictly greater t...

Enzyme kinetics far from the standard quasi-steady-state and equilibrium approximations

Analytic approximations of the time-evolution of the single enzyme-substrate reaction are valid for all but a small region of parameter space in the positive initial enzyme-initial substrate concentration plane. We find velocity equations for the substrate decomposition and product formation with the aid of the total quasi-steady-state approximation and an aggregation technique for cases where neither the more normally employed standard nor reverse quasi-steady-state approximations are valid....

Large spin entangled current from a passive device

We show that a large entangled current can be produced from a very simple passive device: a cluster of three resonant quantum dots, tunnel coupled to one input lead and two output leads. The device can function in a `clean' mode, when almost all emitted electrons are paired in Bell states, or a `dirty' mode with a far higher emission rate but a significant portion of non-entangled electrons. Subsequent charge detection can enhance performance by identifying the pairs that are most likely to b...

Central kernels of subspaces of JB*-triples

An investigation of the norm central kernel kn(L) of an arbitrary norm-closed subspace L of a JB*-triple and the central kernel k(L) of a weak*-closed subspace L of a JBW*-triple is carried out. It is shown that these geometrically defined objects have purely algebraic characterizations, the results providing new information about C*-algebras and W*-algebras.

Cavity modes of tapered ZnO nanowires

We report on a cavity mode mapping of ZnO tapered nanowires using micro-photoluminescence spectroscopy at room temperature. Both the Fabry–Perot (FP) and the whispering gallery (WG) modes are identified in a single wire. The emission spectra from single nanowires comprise regular Lorentzian peaks, which arise from the FP interference between the ends of the nanowire. The overall intensity along the tapered wire varies periodically. This variation is ascribed to WG mode resonances across the n...

Effects of intensive blood pressure lowering on cardiovascular and renal outcomes: a systematic review and meta-analysis

Editors' Summary Background About a third of US and UK adults have high blood pressure (hypertension). Although hypertension has no obvious symptoms, it can lead to heart attacks, stroke, and other forms of cardiovascular disease, to kidney failure, and to retinopathy (blindness caused by damage to the blood vessels in the back of the eye). Hypertension is diagnosed by measuring blood pressure (BP)—the force that blood moving around the body exerts on the inside of large blood vessels. BP is ...