4,093 research outputs found
Quantum computers can search rapidly by using almost any transformation
A quantum computer has a clear advantage over a classical computer for
exhaustive search. The quantum mechanical algorithm for exhaustive search was
originally derived by using subtle properties of a particular quantum
mechanical operation called the Walsh-Hadamard (W-H) transform. This paper
shows that this algorithm can be implemented by replacing the W-H transform by
almost any quantum mechanical operation. This leads to several new applications
where it improves the number of steps by a square-root. It also broadens the
scope for implementation since it demonstrates quantum mechanical algorithms
that can readily adapt to available technology.Comment: This paper is an adapted version of quant-ph/9711043. It has been
modified to make it more readable for physicists. 9 pages, postscrip
Hilbert Space Average Method and adiabatic quantum search
We discuss some aspects related to the so-called Hilbert space Average
Method, as an alternative to describe the dynamics of open quantum systems.
First we present a derivation of the method which does not make use of the
algebra satisfied by the operators involved in the dynamics, and extend the
method to systems subject to a Hamiltonian that changes with time. Next we
examine the performance of the adiabatic quantum search algorithm with a
particular model for the environment. We relate our results to the criteria
discussed in the literature for the validity of the above-mentioned method for
similar environments.Comment: 6 pages, 1 figur
Performance of Equal Phase-Shift Search for One Iteration
Grover presented the phase-shift search by replacing the selective inversions
by selective phase shifts of . In this paper, we investigate the
phase-shift search with general equal phase shifts. We show that for small
uncertainties, the failure probability of the Phase- search is smaller
than the general phase-shift search and for large uncertainties, the success
probability of the large phase-shift search is larger than the Phase-
search. Therefore, the large phase-shift search is suitable for large-size of
databases.Comment: 10 pages, 4 figure
Stress Concentrations: Their Effect on Design for Repeated Loading
Changes of section, such as fillets, grooves, oil holes, keyways, and the like, are necessary in many machine parts. These are sources of stress concentration when a part is under load, Stress concentrations may also occur near bolts, pins, rivets, spot welds, and other discrete fasteners in joints of structural members. Flaws, inclu-sions, and other discontinuities in a metal may also interrupt the stress pattern under load. The general term "stress raiser" has been coined to describe any such irregularity or inhomogeneity which produces it local concentration of stress in a loaded part
Equivalent qubit dynamics under classical and quantum noise
We study the dynamics of quantum systems under classical and quantum noise,
focusing on decoherence in qubit systems. Classical noise is described by a
random process leading to a stochastic temporal evolution of a closed quantum
system, whereas quantum noise originates from the coupling of the microscopic
quantum system to its macroscopic environment. We derive deterministic master
equations describing the average evolution of the quantum system under
classical continuous-time Markovian noise and two sets of master equations
under quantum noise. Strikingly, these three equations of motion are shown to
be equivalent in the case of classical random telegraph noise and proper
quantum environments. Hence fully quantum-mechanical models within the Born
approximation can be mapped to a quantum system under classical noise.
Furthermore, we apply the derived equations together with pulse optimization
techniques to achieve high-fidelity one-qubit operations under random telegraph
noise, and hence fight decoherence in these systems of great practical
interest.Comment: 5 pages, 2 figures; converted to PRA format, added Fig. 2, corrected
typo
Anisotropic dehydration of hydrogel surfaces
Efforts to develop tissue-engineered skin for regenerative medicine have explored natural, synthetic, and hybrid hydrogels. The creation of a bilayer material, with the stratification exhibited by native skin is a complex problem. The mechanically robust, waterproof epidermis presents the stratum corneum at the tissue/air interface, which confers many of these protective properties. In this work we explore the effect of high temperatures on alginate hydrogels, which are widely employed for tissue engineering due to their excellent mechanical properties and cellular compatibility. In particular, we investigate the rapid dehydration of the hydrogel surface which occurs following local exposure to heated surfaces with temperatures in the range 100-200 oC. We report the creation of a mechanically strengthened hydrogel surface, with improved puncture resistance and increased coefficient of friction, compared to the unheated surface. The use of a mechanical restraint during heating promoted differences in the rate of mass loss; the rate of temperature increase within the hydrogel, in the presence and absence of restraint, is simulated and discussed. It is hoped that the results will be of use in the development of processes suitable for preparing skin-like analogues; application areas could include wound healing and skin restoration
Grover's Quantum Search Algorithm and Diophantine Approximation
In a fundamental paper [Phys. Rev. Lett. 78, 325 (1997)] Grover showed how a
quantum computer can find a single marked object in a database of size N by
using only O(N^{1/2}) queries of the oracle that identifies the object. His
result was generalized to the case of finding one object in a subset of marked
elements. We consider the following computational problem: A subset of marked
elements is given whose number of elements is either M or K, M<K, our task is
to determine which is the case. We show how to solve this problem with a high
probability of success using only iterations of Grover's basic step (and no
other algorithm). Let m be the required number of iterations; we prove that
under certain restrictions on the sizes of M and K the estimation m <
(2N^{1/2})/(K^{1/2}-M^{1/2}) obtains. This bound sharpens previous results and
is known to be optimal up to a constant factor. Our method involves
simultaneous Diophantine approximations, so that Grover's algorithm is
conceptualized as an orbit of an ergodic automorphism of the torus. We comment
on situations where the algorithm may be slow, and note the similarity between
these cases and the problem of small divisors in classical mechanics.Comment: 8 pages, revtex, Title change
New Samarium and Neodymium based admixed ferromagnets with near zero net magnetization and tunable exchange bias field
Rare earth based intermetallics, SmScGe and NdScGe, are shown to exhibit near
zero net magnetization with substitutions of 6 to 9 atomic percent of Nd and 25
atomic percent of Gd, respectively. The notion of magnetic compensation in them
is also elucidated by the crossover of zero magnetization axis at low magnetic
fields (less than 103 Oe) and field-induced reversal in the orientation of the
magnetic moments of the dissimilar rare earth ions at higher magnetic fields.
These magnetically ordered materials with no net magnetization and appreciable
conduction electron polarization display an attribute of an exchange bias
field, which can be tuned. The attractively high magnetic ordering temperatures
of about 270 K, underscore the importance of these materials for potential
applications in spintronics.Comment: 6 page text + 5 figure
Self-magnetic compensation and Exchange Bias in ferromagnetic Samarium systems
For Sm(3+) ions in a vast majority of metallic systems, the following
interesting scenario has been conjured up for long, namely, a magnetic lattice
of tiny self (spin-orbital) compensated 4f-moments exchange coupled (and phase
reversed) to the polarization in the conduction band. We report here the
identification of a self-compensation behavior in a variety of ferromagnetic Sm
intermetallics via the fingerprint of a shift in the magnetic hysteresis (M-H)
loop from the origin. Such an attribute, designated as exchange bias in the
context of ferromagnetic/antiferromagnetic multilayers, accords these compounds
a potential for niche applications in spintronics. We also present results on
magnetic compensation behavior on small Gd doping (2.5 atomic percent) in one
of the Sm ferromagnets (viz. SmCu(4)Pd). The doped system responds like a
pseudo-ferrimagnet and it displays a characteristic left-shifted linear M-H
plot for an antiferromagnet.Comment: 7 pages and 7 figure
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