3,018 research outputs found
Glueball matrix elements on anisotropic lattices
We describe a lattice calculation of the matrix elements relevant for
glueball production in radiative decays. The techniques for such a
calculation on anisotropic lattices with an improved action are outlined. We
present preliminary results showing the efficacy of the computational method.Comment: 3 pages (LaTeX), 3 figures (PostScript), Presented at Lattice '9
On the Effect of Quantum Interaction Distance on Quantum Addition Circuits
We investigate the theoretical limits of the effect of the quantum
interaction distance on the speed of exact quantum addition circuits. For this
study, we exploit graph embedding for quantum circuit analysis. We study a
logical mapping of qubits and gates of any -depth quantum adder
circuit for two -qubit registers onto a practical architecture, which limits
interaction distance to the nearest neighbors only and supports only one- and
two-qubit logical gates. Unfortunately, on the chosen -dimensional practical
architecture, we prove that the depth lower bound of any exact quantum addition
circuits is no longer , but . This
result, the first application of graph embedding to quantum circuits and
devices, provides a new tool for compiler development, emphasizes the impact of
quantum computer architecture on performance, and acts as a cautionary note
when evaluating the time performance of quantum algorithms.Comment: accepted for ACM Journal on Emerging Technologies in Computing
System
Nucleon Axial Form Factor from Lattice QCD
Results for the isovector axial form factors of the proton from a lattice QCD
calculation are presented for both point-split and local currents. They are
obtained on a quenched lattice at with Wilson
fermions for a range of quark masses from strange to charm. We determine the
finite lattice renormalization for both the local and point-split currents of
heavy quarks. Results extrapolated to the chiral limit show that the
dependence of the axial form factor agrees reasonably well with experiment. The
axial coupling constant calculated for the local and the point-split
currents is about 6\% and 12\% smaller than the experimental value
respectively.Comment: 8 pages, 5 figures (included in part 2), UK/93-0
Baryon Octet to Decuplet Electromagnetic Transitions
The electromagnetic transition moments of the -flavor baryon octet to
decuplet are examined within a lattice simulation of quenched QCD. The magnetic
transition moment for the channel is found to be in
agreement with recent experimental analyses. The lattice results indicate
. In terms of the Particle Data Group
convention, GeV for
transitions. Lattice predictions for the hyperon transition moments agree
with those of a simple quark model. However the manner in which the quarks
contribute to the transition moments in the lattice simulation is different
from that anticipated by quark model calculations. The scalar quadrupole form
factor exhibits a behavior consistent with previous multipole analyses. The
multipole transition moment ratios are also determined. The lattice
results suggest \% for
transitions. Of particular interest are significant
nonvanishing signals for the ratio in and
electromagnetic transitions.Comment: PostScript file, 37 pages including figures. U. MD PP #93-085, U. KY
PP #UK/92-09, TRIUMF PP #TRI-PP-92-12
A Lattice Study of Quark and Glue Momenta and Angular Momenta in the Nucleon
We report a complete calculation of the quark and glue momenta and angular
momenta in the proton. These include the quark contributions from both the
connected and disconnected insertions. The quark disconnected insertion loops
are computed with noise, and the signal-to-noise is improved with
unbiased subtractions. The glue operator is comprised of gauge-field tensors
constructed from the overlap operator. The calculation is carried out on a
quenched lattice at for Wilson fermions with
, and which correspond to pion masses at , and ~MeV, respectively. The chirally extrapolated and quark
momentum/angular momentum fraction is found to be , the
strange momentum/angular momentum fraction is , and that of
the glue is . The previous study of quark spin on the same
lattice revealed that it carries a fraction of of proton spin. The
orbital angular momenta of the quarks are then obtained from subtracting the
spin from their corresponding angular momentum components. We find that the
quark orbital angular momentum constitutes of the proton spin with
almost all of it coming from the disconnected insertions.Comment: Renormalization section is expanded to include more details. There
are slight changes in the final numbers. A few modification and corrections
are made in the rest of the tex
Simulating chemistry efficiently on fault-tolerant quantum computers
Quantum computers can in principle simulate quantum physics exponentially
faster than their classical counterparts, but some technical hurdles remain.
Here we consider methods to make proposed chemical simulation algorithms
computationally fast on fault-tolerant quantum computers in the circuit model.
Fault tolerance constrains the choice of available gates, so that arbitrary
gates required for a simulation algorithm must be constructed from sequences of
fundamental operations. We examine techniques for constructing arbitrary gates
which perform substantially faster than circuits based on the conventional
Solovay-Kitaev algorithm [C.M. Dawson and M.A. Nielsen, \emph{Quantum Inf.
Comput.}, \textbf{6}:81, 2006]. For a given approximation error ,
arbitrary single-qubit gates can be produced fault-tolerantly and using a
limited set of gates in time which is or ; with sufficient parallel preparation of ancillas, constant average
depth is possible using a method we call programmable ancilla rotations.
Moreover, we construct and analyze efficient implementations of first- and
second-quantized simulation algorithms using the fault-tolerant arbitrary gates
and other techniques, such as implementing various subroutines in constant
time. A specific example we analyze is the ground-state energy calculation for
Lithium hydride.Comment: 33 pages, 18 figure
Effects of imperfections for Shor's factorization algorithm
We study effects of imperfections induced by residual couplings between
qubits on the accuracy of Shor's algorithm using numerical simulations of
realistic quantum computations with up to 30 qubits. The factoring of numbers
up to N=943 show that the width of peaks, which frequencies allow to determine
the factors, grow exponentially with the number of qubits. However, the
algorithm remains operational up to a critical coupling strength
which drops only polynomially with . The numerical dependence of
on is explained by analytical estimates that allows to
obtain the scaling for functionality of Shor's algorithm on realistic quantum
computers with a large number of qubits.Comment: 10 pages, 10 figures, 1 table. Added references and new data. Erratum
added as appendix. 1 Figure and 1 Table added. Research is available at
http://www.quantware.ups-tlse.fr
Observational Constraints on the Catastrophic Disruption Rate of Small Main Belt Asteroids
We have calculated 90% confidence limits on the steady-state rate of
catastrophic disruptions of main belt asteroids in terms of the absolute
magnitude at which one catastrophic disruption occurs per year (HCL) as a
function of the post-disruption increase in brightness (delta m) and subsequent
brightness decay rate (tau). The confidence limits were calculated using the
brightest unknown main belt asteroid (V = 18.5) detected with the Pan-STARRS1
(Pan-STARRS1) telescope. We measured the Pan-STARRS1's catastrophic disruption
detection efficiency over a 453-day interval using the Pan-STARRS moving object
processing system (MOPS) and a simple model for the catastrophic disruption
event's photometric behavior in a small aperture centered on the catastrophic
disruption event. Our simplistic catastrophic disruption model suggests that
delta m = 20 mag and 0.01 mag d-1 < tau < 0.1 mag d-1 which would imply that H0
= 28 -- strongly inconsistent with H0,B2005 = 23.26 +/- 0.02 predicted by
Bottke et al. (2005) using purely collisional models. We postulate that the
solution to the discrepancy is that > 99% of main belt catastrophic disruptions
in the size range to which this study was sensitive (100 m) are not
impact-generated, but are instead due to fainter rotational breakups, of which
the recent discoveries of disrupted asteroids P/2013 P5 and P/2013 R3 are
probable examples. We estimate that current and upcoming asteroid surveys may
discover up to 10 catastrophic disruptions/year brighter than V = 18.5.Comment: 61 Pages, 10 Figures, 3 Table
Lattice Calculation of the Strangeness Magnetic Moment of the Nucleon
We report on a lattice QCD calculation of the strangeness magnetic moment of
the nucleon. Our result is . The sea contributions
from the u and d quarks are about 80% larger. However, they cancel to a large
extent due to their electric charges, resulting in a smaller net sea
contribution of to the nucleon magnetic moment. As
far as the neutron to proton magnetic moment ratio is concerned, this sea
contribution tends to cancel out the cloud-quark effect from the Z-graphs and
result in a ratio of which is close to the SU(6) relation and
the experiment. The strangeness Sachs electric mean-square radius
is found to be small and negative and the total sea contributes substantially
to the neutron electric form factor.Comment: 10 pages, 5 figures, LaTex, UK/97-23, ADP-97-55/T28
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