3 research outputs found
The performance of random bosonic rotation codes
Bosonic error correcting codes utilize the infinite dimensional Hilbert space
of a harmonic oscillator to encode a qubit. Bosonic rotation codes are
characterized by a discrete rotation symmetry in their Wigner functions and
include codes such as the cat and binomial codes.We define two different
notions of random bosonic rotation codes and numerically explore their
performance against loss and dephasing. We find that the best random rotation
codes can outperform cat and binomial codes in a certain parameter regime where
loss is large and dephasing errors are small.Comment: 9 Pages, 9 Figs, Reuploaded to fix incorrect figure generatio
A Quantum Theory of Temporally Mismatched Homodyne Measurements with Applications to Optical Frequency Comb Metrology
The fields of precision timekeeping and spectroscopy increasingly rely on
optical frequency comb interferometry. However, comb-based measurements are not
described by existing quantum theory because they exhibit both large mode
mismatch and finite strength local oscillators. To establish this quantum
theory, we derive measurement operators for homodyne with arbitrary mode
overlap. These operators are a combination of quadrature and intensity-like
measurements, which inform a filter that maximizes the quadrature measurement
signal-to-noise ratio. Furthermore, these operators establish a foundation to
extend frequency-comb interferometry to a wide range of scenarios, including
metrology with nonclassical states of light.Comment: 5 pages plus appendice
Coronal Heating as Determined by the Solar Flare Frequency Distribution Obtained by Aggregating Case Studies
Flare frequency distributions represent a key approach to addressing one of
the largest problems in solar and stellar physics: determining the mechanism
that counter-intuitively heats coronae to temperatures that are orders of
magnitude hotter than the corresponding photospheres. It is widely accepted
that the magnetic field is responsible for the heating, but there are two
competing mechanisms that could explain it: nanoflares or Alfv\'en waves. To
date, neither can be directly observed. Nanoflares are, by definition,
extremely small, but their aggregate energy release could represent a
substantial heating mechanism, presuming they are sufficiently abundant. One
way to test this presumption is via the flare frequency distribution, which
describes how often flares of various energies occur. If the slope of the power
law fitting the flare frequency distribution is above a critical threshold,
as established in prior literature, then there should be a
sufficient abundance of nanoflares to explain coronal heating. We performed
600 case studies of solar flares, made possible by an unprecedented number
of data analysts via three semesters of an undergraduate physics laboratory
course. This allowed us to include two crucial, but nontrivial, analysis
methods: pre-flare baseline subtraction and computation of the flare energy,
which requires determining flare start and stop times. We aggregated the
results of these analyses into a statistical study to determine that . This is below the critical threshold, suggesting that Alfv\'en
waves are an important driver of coronal heating.Comment: 1,002 authors, 14 pages, 4 figures, 3 tables, published by The
Astrophysical Journal on 2023-05-09, volume 948, page 7