8,155 research outputs found
A STOCHASTIC SIMULATION-BASED HYBRID INTERVAL FUZZY PROGRAMMING APPROACH FOR OPTIMIZING THE TREATMENT OF RECOVERED OILY WATER
In this paper, a stochastic simulation-based hybrid interval fuzzy programming (SHIFP) approach
is developed to aid the decision-making process by solving fuzzy linear optimization problems.
Fuzzy set theory, probability theory, and interval analysis are integrated to take into account the
effect of imprecise information, subjective judgment, and variable environmental conditions. A
case study related to oily water treatment during offshore oil spill clean-up operations is conducted
to demonstrate the applicability of the proposed approach. The results suggest that producing a
random sequence of triangular fuzzy numbers in a given interval is equivalent to a normal
distribution when using the centroid defuzzification method. It also shows that the defuzzified
optimal solutions follow the normal distribution and range from 3,000-3,700 tons, given the
budget constraint (CAD 110,000-150,000). The normality seems to be able to propagate
throughout the optimization process, yet this interesting finding deserves more in-depth study
and needs more rigorous mathematical proof to validate its applicability and feasibility. In
addition, the optimal decision variables can be categorized into several groups with different
probability such that decision makers can wisely allocate limited resources with higher
confidence in a short period of time. This study is expected to advise the industries and
authorities on how to distribute resources and maximize the treatment efficiency of oily
water in a short period of time, particularly in the context of harsh environments
Demonstrating quantum contextuality of indistinguishable particles by a single family of noncontextuality inequalities
Quantum theory has the intriguing feature that is inconsistent with
noncontextual hidden variable models, for which the outcome of a measurement
does not depend on which other compatible measurements are being performed
concurrently. While various proofs of such contextual behavior of quantum
systems have been established, relatively little is known concerning the
possibility to demonstrate this intriguing feature for indistinguishable
particles. Here, we show in a simple and systematic manner that with projective
measurements alone, it is possible to demonstrate quantum contextuality for
such systems of arbitrary Hilbert space dimensions, including those
corresponding to a qubit. Our demonstration is applicable to a single fermion
as well as multiple fermions, and thus also a composite boson formed from an
even number of fermions. In addition, our approach gives a clear demonstration
of the intimate connection between complementarity and contextuality, two
seemingly unrelated aspects of quantum theory.Comment: 9 pages, no figure; Major changes; More changes. Accepted in
Scientific Report
(Z)-1-[2-(TrifluoroÂmethÂyl)benzylÂidene]thioÂsemicarbazide
In the crystal structure of the title compound, C9H8F3N3S, all atoms except for two of the F atoms are located on a mirror plane. In the crystal, the molecules are connected by N—H⋯S hydrogen bonds, forming a molÂecular tape along the a axis
Assisted optimal state discrimination without entanglement
A fundamental problem in quantum information is to explore the roles of
different quantum correlations in a quantum information procedure. Recent work
[Phys. Rev. Lett., 107 (2011) 080401] shows that the protocol for assisted
optimal state discrimination (AOSD) may be implemented successfully without
entanglement, but with another correlation, quantum dissonance. However, both
the original work and the extension to discrimination of states [Phys. Rev.
A, 85 (2012) 022328] have only proved that entanglement can be absent in the
case with equal a \emph{priori} probabilities. By improving the protocol in
[Sci. Rep., 3 (2013) 2134], we investigate this topic in a simple case to
discriminate three nonorthogonal states of a qutrit, with positive real
overlaps. In our procedure, the entanglement between the qutrit and an
auxiliary qubit is found to be completely unnecessary. This result shows that
the quantum dissonance may play as a key role in optimal state discrimination
assisted by a qubit for more general cases.Comment: 6 pages, 3 figures. Accepted by EPL. We extended the protocol for
assisted optimal state discrimination to the case with positive real
overlaps, and presented a proof for the absence of entanglemen
- …