10,262 research outputs found
Hierarchical topological clustering learns stock market sectors
The breakdown of financial markets into sectors provides an intuitive classification for groups of companies. The allocation of a company to a sector is an expert task, in which the company is classified by the activity that most closely describes the nature of the company's business. Individual share price movement is dependent upon many factors, but there is an expectation for shares within a market sector to move broadly together. We are interested in discovering if share closing prices do move together, and whether groups of shares that do move together are identifiable in terms of industrial activity. Using TreeGNG, a hierarchical clustering algorithm, on a time series of share closing prices, we have identified groups of companies that cluster into clearly identifiable groups. These clusters compare favourably to a globally accepted sector classification scheme, and in our opinion, our method identifies sector structure clearer than a statistical agglomerative hierarchical clustering metho
Adaptive homodyne measurement of optical phase
We present an experimental demonstration of the power of real-time feedback
in quantum metrology, confirming a theoretical prediction by Wiseman regarding
the superior performance of an adaptive homodyne technique for single-shot
measurement of optical phase. For phase measurements performed on weak coherent
states with no prior knowledge of the signal phase, we show that the variance
of adaptive homodyne estimation approaches closer to the fundamental quantum
uncertainty limit than any previously demonstrated technique. Our results
underscore the importance of real-time feedback for reaching quantum
performance limits in coherent telecommunication, precision measurement and
information processing.Comment: RevTex4, color PDF figures (separate files), submitted to PR
Robust quantum parameter estimation: coherent magnetometry with feedback
We describe the formalism for optimally estimating and controlling both the
state of a spin ensemble and a scalar magnetic field with information obtained
from a continuous quantum limited measurement of the spin precession due to the
field. The full quantum parameter estimation model is reduced to a simplified
equivalent representation to which classical estimation and control theory is
applied. We consider both the tracking of static and fluctuating fields in the
transient and steady state regimes. By using feedback control, the field
estimation can be made robust to uncertainty about the total spin number
Sunday to Friday: Investigating Masculinity using Pornography Traffic During Two Major Events
This paper is an investigation into how Masculinity Theory can explain a shift in Pornhub traffic when specific major events take place. The paper examines two events, the recent Super Bowls and the early months of the COVID-19 pandemic framed against Pornhub traffic data at the same time. It finds that masculinity theory when combined with motivation for pornography viewing, can serve as one plausible explanation behind a shift in traffic
Choice of Measurement Sets in Qubit Tomography
Optimal generalized measurements for state estimation are well understood.
However, practical quantum state tomography is typically performed using a
fixed set of projective measurements and the question of how to choose these
measurements has been largely unexplored in the literature. In this work we
develop theoretical asymptotic bounds for the average fidelity of pure qubit
tomography using measurement sets whose axes correspond to vertices of Platonic
solids. We also present complete simulations of maximum likelihood tomography
for mixed qubit states using the Platonic solid measurements. We show that
overcomplete measurement sets can be used to improve the accuracy of
tomographic reconstructions.Comment: 13 Pages, 6 figure
First order phase transition in the anisotropic quantum orbital compass model
We investigate the anisotropic quantum orbital compass model on an infinite
square lattice by means of the infinite projected entangled-pair state
algorithm. For varying values of the and coupling constants of the
model, we approximate the ground state and evaluate quantities such as its
expected energy and local order parameters. We also compute adiabatic time
evolutions of the ground state, and show that several ground states with
different local properties coexist at . All our calculations are
fully consistent with a first order quantum phase transition at this point,
thus corroborating previous numerical evidence. Our results also suggest that
tensor network algorithms are particularly fitted to characterize first order
quantum phase transitions.Comment: 4 pages, 3 figures, major revision with new result
- …