3,615,575 research outputs found
Adaptive Quantum Homodyne Tomography
An adaptive optimization technique to improve precision of quantum homodyne
tomography is presented. The method is based on the existence of so-called null
functions, which have zero average for arbitrary state of radiation. Addition
of null functions to the tomographic kernels does not affect their mean values,
but changes statistical errors, which can then be reduced by an optimization
method that "adapts" kernels to homodyne data. Applications to tomography of
the density matrix and other relevant field-observables are studied in detail.Comment: Latex (RevTex class + psfig), 9 Figs, Submitted to PR
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Understanding distributions of chess performances
This paper presents evidence for several features of the population of chess players, and the distribution of their performances measured in terms of Elo ratings and by computer analysis of moves. Evidence that ratings have remained stable since the inception of the Elo system in the 1970’s is given in several forms: by showing that the population of strong players fits a simple logistic-curve model without inflation, by plotting players’ average error against the FIDE category of tournaments over time, and by skill parameters from a model that employs computer analysis keeping a nearly constant relation to Elo rating across that time. The distribution of the model’s Intrinsic Performance Ratings can hence be used to compare populations that have limited interaction, such as between
players in a national chess federation and FIDE, and ascertain relative drift in their respective rating systems
Pairwise entanglement and readout of atomic-ensemble and optical wave-packet modes in traveling-wave Raman interactions
We analyze quantum entanglement of Stokes light and atomic electronic
polarization excited during single-pass, linear-regime, stimulated Raman
scattering in terms of optical wave-packet modes and atomic-ensemble spatial
modes. The output of this process is confirmed to be decomposable into multiple
discrete, bosonic mode pairs, each pair undergoing independent evolution into a
two-mode squeezed state. For this we extend the Bloch-Messiah reduction
theorem, previously known for discrete linear systems (S. L. Braunstein, Phys.
Rev. A, vol. 71, 055801 (2005)). We present typical mode functions in the case
of one-dimensional scattering in an atomic vapor. We find that in the absence
of dispersion, one mode pair dominates the process, leading to a simple
interpretation of entanglement in this continuous-variable system. However,
many mode pairs are excited in the presence of dispersion-induced temporal
walkoff of the Stokes, as witnessed by the photon-count statistics. We also
consider the readout of the stored atomic polarization using the anti-Stokes
scattering process. We prove that the readout process can also be decomposed
into multiple mode pairs, each pair undergoing independent evolution analogous
to a beam-splitter transformation. We show that this process can have unit
efficiency under realistic experimental conditions. The shape of the output
light wave packet can be predicted. In case of unit readout efficiency it
contains only excitations originating from a specified atomic excitation mode
Diffusion or War? Foucault as a Reader of Tarde
The objective of this chapter is to clarify the social theory underlying in Foucault’s
genealogy of power/knowledge thanks to a comparison with Tarde’s microsociology.
Nietzsche is often identified as the direct (and unique) predecessor of this genealogy, and
the habitual criticisms are worried about the intricate relations between Foucault and Marx.
These perspectives omit to point to another – and more direct – antecedent of Foucault`s
microphysics: the microsociology of Gabriel Tarde. Bio-power technologies must be read
as Tardian inventions that, by propagation, have reconfigured pre-existing social spaces,
building modern societies. We will see how the Tardean source in Foucault’s genealogy
sheds new clarity about the micro-socio-logic involved in it, enabling us to identify some of
its aporiae and to imagine some solutions in this respect as well
A Discrete Time Presentation of Quantum Dynamics
Inspired by the discrete evolution implied by the recent work on loop quantum
cosmology, we obtain a discrete time description of usual quantum mechanics
viewing it as a constrained system. This description, obtained without any
approximation or explicit discretization, mimics features of the discrete time
evolution of loop quantum cosmology. We discuss the continuum limit, physical
inner product and matrix elements of physical observables to bring out various
issues regarding viability of a discrete evolution. We also point out how a
continuous time could emerge without appealing to any continuum limit.Comment: 20 pages, RevTex, no figures. Additional Clarifications added.
Version accepted for publication in Class. Quant. Gra
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