1,136 research outputs found
Minimalist design of a robust real-time quantum random number generator
We present a simple and robust construction of a real-time quantum random
number generator (QRNG). Our minimalist approach ensures stable operation of
the device as well as its simple and straightforward hardware implementation as
a stand-alone module. As a source of randomness the device uses measurements of
time intervals between clicks of a single-photon detector. The obtained raw
sequence is then filtered and processed by a deterministic randomness
extractor, which is realized as a look-up table. This enables high speed
on-the-fly processing without the need of extensive computations. The overall
performance of the device is around 1 random bit per detector click, resulting
in 1.2 Mbit/s generation rate in our implementation
Sharp Gaussian decay for the one-dimensional harmonic oscillator
We prove a conjecture by Vemuri by proving sharp bounds on
sums of Hermite functions multiplied by an exponentially decaying factor. More
explicitly, we prove that, for each we have for all sufficiently
large. Our proof involves the classical Plancherel-Rotach asymptotic formula
for Hermite polynomials and a careful local analysis near the maximum point of
such a bound.Comment: 5 page
BRST structure of non-linear superalgebras
In this paper we analyse the structure of the BRST charge of nonlinear
superalgebras. We consider quadratic non-linear superalgebras where a
commutator (in terms of (super) Poisson brackets) of the generators is a
quadratic polynomial of the generators. We find the explicit form of the BRST
charge up to cubic order in Faddeev-Popov ghost fields for arbitrary quadratic
nonlinear superalgebras. We point out the existence of constraints on structure
constants of the superalgebra when the nilpotent BRST charge is quadratic in
Faddeev-Popov ghost fields. The general results are illustrated by simple
examples of superalgebras.Comment: 15 pages, Latex, references added, misprints corrected, comments
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Symplectic geometries on supermanifolds
Extension of symplectic geometry on manifolds to the supersymmetric case is
considered. In the even case it leads to the even symplectic geometry (or,
equivalently, to the geometry on supermanifolds endowed with a non-degenerate
Poisson bracket) or to the geometry on an even Fedosov supermanifolds. It is
proven that in the odd case there are two different scalar symplectic
structures (namely, an odd closed differential 2-form and the antibracket)
which can be used for construction of symplectic geometries on supermanifolds.Comment: LaTex, 1o pages, LaTex, changed conten
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