ABSTRACT
We study interacting bosons on a lattice in a magnetic field. When the number of flux quanta per plaquette is close to a rational fraction, the low-energy physics is mapped to a multispecies continuum model: bosons in the lowest Landau level where each boson is given an internal degree of freedom, or pseudospin. We find that the interaction potential between the bosons involves terms that do not conserve pseudospin, corresponding to umklapp processes, which in some cases can also be seen as BCS-type pairing terms. We argue that in experimentally realistic regimes for bosonic atoms in optical lattices with synthetic magnetic fields, these terms are crucial for determining the nature of allowed ground states. In particular, we show numerically that certain paired wave functions related to the Moore-Read Pfaffian state are stabilized by these terms, whereas certain other wave functions can be destabilized when umklapp processes become strong.
ABSTRACT
Read-Rezayi fractional quantum Hall states are among the prime candidates for realizing non-Abelian anyons which, in principle, can be used for topological quantum computation. We present a prescription for efficiently finding braids which can be used to carry out a universal set of quantum gates on encoded qubits based on anyons of the Read-Rezayi states with k>2, k not equal 4. This work extends previous results which only applied to the case k=3 (Fibonacci) and clarifies why, in that case, gate constructions are simpler than for a generic Read-Rezayi state.
ABSTRACT
The Drosophila DNA topoisomerase type I mutant allele, top1JS is an effective general seizure-suppressor mutation, reverting seizure-sensitive phenotypes of several mutant strains in a genetic model of epilepsy. Seizure-suppression is caused by reduced transcription of the top1 (topoisomerase I gene) gene [Song J, Hu J, Tanouye MA. (2007) Seizure suppression by top1 mutations in Drosophila. J Neurosci 27(11):2927-2937]. Here, we examine the possibility that pharmaceutical inhibition of Top1 (topoisomerase I protein) enzymatic activity may also be effective at reducing seizure phenotypes. We investigate the effect of vertebrate Top1 inhibitor camptothecin (CPT) along with two related compounds, apigenin and kaempferol, when fed to seizure-sensitive mutant Drosophila. All three Top1 inhibitors were found to suppress phenotypes in these mutants. In particular, for drug treatments, the recovery time from seizure and paralysis is greatly reduced compared with untreated animals. Intriguingly we find that chronic drug treatments result in a small reduction in seizure sensitivity. Taken together, the results suggest that Top1 inhibitors may have the potential to be developed into effective anti-epileptic drugs, especially for brain tumor patients presenting with epilepsy.
Subject(s)
Camptothecin/therapeutic use , Enzyme Inhibitors/therapeutic use , Paralysis/drug therapy , Seizures/drug therapy , Analysis of Variance , Animals , Animals, Genetically Modified , Bromates/pharmacology , Bromates/therapeutic use , DNA Topoisomerases, Type I/genetics , DNA Topoisomerases, Type I/metabolism , Disease Models, Animal , Drosophila , Drosophila Proteins/genetics , Drug Administration Schedule , Electric Stimulation/methods , Electroshock/adverse effects , Epilepsy/complications , Epilepsy/etiology , Epilepsy/genetics , Evoked Potentials/drug effects , Evoked Potentials/radiation effects , Motor Neurons/drug effects , Motor Neurons/physiology , Motor Neurons/radiation effects , Muscle, Skeletal/pathology , Muscle, Skeletal/radiation effects , Mutation/genetics , Paralysis/etiology , Seizures/etiology , Topoisomerase I Inhibitors , Valproic Acid/pharmacology , Valproic Acid/therapeutic useABSTRACT
In a topological quantum computer, universal quantum computation is performed by dragging quasiparticle excitations of certain two dimensional systems around each other to form braids of their world lines in 2 + 1 dimensional space-time. In this Letter we show that any such quantum computation that can be done by braiding n identical quasiparticles can also be done by moving a single quasiparticle around n - 1 other identical quasiparticles whose positions remain fixed.
ABSTRACT
In topological quantum computation, quantum information is stored in states which are intrinsically protected from decoherence, and quantum gates are carried out by dragging particlelike excitations (quasiparticles) around one another in two space dimensions. The resulting quasiparticle trajectories define world lines in three-dimensional space-time, and the corresponding quantum gates depend only on the topology of the braids formed by these world lines. We show how to find braids that yield a universal set of quantum gates for qubits encoded using a specific kind of quasiparticle which is particularly promising for experimental realization.
