632 research outputs found
Angular performance measure for tighter uncertainty relations
The uncertainty principle places a fundamental limit on the accuracy with
which we can measure conjugate physical quantities. However, the fluctuations
of these variables can be assessed in terms of different estimators. We propose
a new angular performance that allows for tighter uncertainty relations for
angle and angular momentum. The differences with previous bounds can be
significant for particular states and indeed may be amenable to experimental
measurement with the present technology.Comment: 4 pages, 1 figures. Comments welcom
Orbital angular momentum from marginals of quadrature distributions
We set forth a method to analyze the orbital angular momentum of a light
field. Instead of using the canonical formalism for the conjugate pair
angle-angular momentum, we model this latter variable by the superposition of
two independent harmonic oscillators along two orthogonal axes. By describing
each oscillator by a standard Wigner function, we derive, via a consistent
change of variables, a comprehensive picture of the orbital angular momentum.
We compare with previous approaches and show how this method works in some
relevant examples.Comment: 7 pages, 2 color figure
An empirical mean-field model of symmetry-breaking in a turbulent wake
Improved turbulence modeling remains a major open problem in mathematical physics. Turbulence is notoriously challenging, in part due to its multiscale nature and the fact that large-scale coherent structures cannot be disentangled from small-scale fluctuations. This closure problem is emblematic of a greater challenge in complex systems, where coarse-graining and statistical mechanics descriptions break down. This work demonstrates an alternative data-driven modeling approach to learn nonlinear models of the coherent structures, approximating turbulent fluctuations as state-dependent stochastic forcing. We demonstrate this approach on a high-Reynolds number turbulent wake experiment, showing that our model reproduces empirical power spectra and probability distributions. The model is interpretable, providing insights into the physical mechanisms underlying the symmetry-breaking behavior in the wake. This work suggests a path toward low-dimensional models of globally unstable turbulent flows from experimental measurements, with broad implications for other multiscale systems
Entanglement verification for quantum key distribution systems with an underlying bipartite qubit-mode structure
We consider entanglement detection for quantum key distribution systems that
use two signal states and continuous variable measurements. This problem can be
formulated as a separability problem in a qubit-mode system. To verify
entanglement, we introduce an object that combines the covariance matrix of the
mode with the density matrix of the qubit. We derive necessary separability
criteria for this scenario. These criteria can be readily evaluated using
semidefinite programming and we apply them to the specific quantum key
distribution protocol.Comment: 6 pages, 2 figures, v2: final versio
RONAALP: Reduced-Order Nonlinear Approximation with Active Learning Procedure
Many engineering applications rely on the evaluation of expensive, non-linear
high-dimensional functions. In this paper, we propose the RONAALP algorithm
(Reduced Order Nonlinear Approximation with Active Learning Procedure) to
incrementally learn a fast and accurate reduced-order surrogate model of a
target function on-the-fly as the application progresses. First, the
combination of nonlinear auto-encoder, community clustering and radial basis
function networks allows to learn an efficient and compact surrogate model with
limited training data. Secondly, the active learning procedure overcome any
extrapolation issue when evaluating the surrogate model outside of its initial
training range during the online stage. This results in generalizable, fast and
accurate reduced-order models of high-dimensional functions. The method is
demonstrated on three direct numerical simulations of hypersonic flows in
chemical nonequilibrium. Accurate simulations of these flows rely on detailed
thermochemical gas models that dramatically increase the cost of such
calculations. Using RONAALP to learn a reduced-order thermodynamic model
surrogate on-the-fly, the cost of such simulation was reduced by up to 75%
while maintaining an error of less than 10% on relevant quantities of interest.Comment: 38 pages, 16 figure
Improvement of continuous-variable quantum key distribution systems by using optical preamplifiers
Continuous-variable quantum key distribution protocols, based on Gaussian
modulation of the quadratures of coherent states, have been implemented in
recent experiments. A present limitation of such systems is the finite
efficiency of the detectors, which can in principle be compensated for by the
use of classical optical preamplifiers. Here we study this possibility in
detail, by deriving the modified secret key generation rates when an optical
parametric amplifier is placed at the output of the quantum channel. After
presenting a general set of security proofs, we show that the use of
preamplifiers does compensate for all the imperfections of the detectors when
the amplifier is optimal in terms of gain and noise. Imperfect amplifiers can
also enhance the system performance, under conditions which are generally
satisfied in practice.Comment: 11 pages, 7 figures, submitted to J. Phys. B (special issue on Few
Atoms Optics
Wigner function for twisted photons
A comprehensive theory of the Weyl-Wigner formalism for the canonical pair
angle-angular momentum is presented, with special emphasis in the implications
of rotational periodicity and angular-momentum discreteness.Comment: 6 pages, 4 figure
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