87,739 research outputs found
Automatic assembly design project 1968/9 :|breport of economic planning committee
Investigations into automatic assembly systems have
been carried out. The conclusions show the major
features to be considered by a company operating
the machine to assemble the contact block with regard
to machine output and financial aspects.
The machine system has been shown to be economically
viable for use under suitable conditions, but the
contact block is considered to be unsuitable for
automatic assembly.
Data for machine specification, reliability and
maintenance has been provided
Probing the quantumness of channels with mixed states
We present an alternative approach to the derivation of benchmarks for
quantum channels, such as memory or teleportation channels. Using the concept
of effective entanglement and the verification thereof, a testing procedure is
derived which demands very few experimental resources. The procedure is
generalized by allowing for mixed test states. By constructing optimized
measure & re-prepare channels, the benchmarks are found to be very tight in the
considered experimental regimes.Comment: 11 Pages, 9 Figures, published versio
Complexity of Quantum States and Reversibility of Quantum Motion
We present a quantitative analysis of the reversibility properties of
classically chaotic quantum motion. We analyze the connection between
reversibility and the rate at which a quantum state acquires a more and more
complicated structure in its time evolution. This complexity is characterized
by the number of harmonics of the (initially isotropic, i.e.
) Wigner function, which are generated during quantum evolution
for the time . We show that, in contrast to the classical exponential
increase, this number can grow not faster than linearly and then relate this
fact with the degree of reversibility of the quantum motion. To explore the
reversibility we reverse the quantum evolution at some moment immediately
after applying at this moment an instant perturbation governed by a strength
parameter . It follows that there exists a critical perturbation strength,
, below which the initial state is well
recovered, whereas reversibility disappears when . In the
classical limit the number of harmonics proliferates exponentially with time
and the motion becomes practically irreversible. The above results are
illustrated in the example of the kicked quartic oscillator model.Comment: 15 pages, 13 figures; the list of references is update
Kac-Ward formula and its extension to order-disorder correlators through a graph zeta function
A streamlined derivation of the Kac-Ward formula for the planar Ising model's
partition function is presented and applied in relating the kernel of the
Kac-Ward matrices' inverse with the correlation functions of the Ising model's
order-disorder correlation functions. A shortcut for both is facilitated by the
Bowen-Lanford graph zeta function relation. The Kac-Ward relation is also
extended here to produce a family of non planar interactions on
for which the partition function and the order-disorder correlators are
solvable at special values of the coupling parameters/temperature.Comment: An extension of the Kac-Ward determinantal formula beyond planarity
was added (Section 5). To appear in Journal of Statistical Physic
Fast hyperbolic Radon transform represented as convolutions in log-polar coordinates
The hyperbolic Radon transform is a commonly used tool in seismic processing,
for instance in seismic velocity analysis, data interpolation and for multiple
removal. A direct implementation by summation of traces with different moveouts
is computationally expensive for large data sets. In this paper we present a
new method for fast computation of the hyperbolic Radon transforms. It is based
on using a log-polar sampling with which the main computational parts reduce to
computing convolutions. This allows for fast implementations by means of FFT.
In addition to the FFT operations, interpolation procedures are required for
switching between coordinates in the time-offset; Radon; and log-polar domains.
Graphical Processor Units (GPUs) are suitable to use as a computational
platform for this purpose, due to the hardware supported interpolation routines
as well as optimized routines for FFT. Performance tests show large speed-ups
of the proposed algorithm. Hence, it is suitable to use in iterative methods,
and we provide examples for data interpolation and multiple removal using this
approach.Comment: 21 pages, 10 figures, 2 table
Towards Complexity for Quantum Field Theory States
We investigate notions of complexity of states in continuous quantum-many
body systems. We focus on Gaussian states which include ground states of free
quantum field theories and their approximations encountered in the context of
the continuous version of Multiscale Entanglement Renormalization Ansatz. Our
proposal for quantifying state complexity is based on the Fubini-Study metric.
It leads to counting the number of applications of each gate (infinitesimal
generator) in the transformation, subject to a state-dependent metric. We
minimize the defined complexity with respect to momentum preserving quadratic
generators which form algebras. On the manifold of
Gaussian states generated by these operations the Fubini-Study metric
factorizes into hyperbolic planes with minimal complexity circuits reducing to
known geodesics. Despite working with quantum field theories far outside the
regime where Einstein gravity duals exist, we find striking similarities
between our results and holographic complexity proposals.Comment: 6+7 pages, 6 appendices, 2 figures; v2: references added;
acknowledgments expanded; appendix F added, reviewing similarities and
differences with hep-th/1707.08570; v3: version published in PR
- …