2,100 research outputs found
On the Computation Power of Name Parameterization in Higher-order Processes
Parameterization extends higher-order processes with the capability of
abstraction (akin to that in lambda-calculus), and is known to be able to
enhance the expressiveness. This paper focuses on the parameterization of
names, i.e. a construct that maps a name to a process, in the higher-order
setting. We provide two results concerning its computation capacity. First,
name parameterization brings up a complete model, in the sense that it can
express an elementary interactive model with built-in recursive functions.
Second, we compare name parameterization with the well-known pi-calculus, and
provide two encodings between them.Comment: In Proceedings ICE 2015, arXiv:1508.0459
Strongly Regular Graphs Constructed from -ary Bent Functions
In this paper, we generalize the construction of strongly regular graphs in
[Y. Tan et al., Strongly regular graphs associated with ternary bent functions,
J. Combin.Theory Ser. A (2010), 117, 668-682] from ternary bent functions to
-ary bent functions, where is an odd prime. We obtain strongly regular
graphs with three types of parameters. Using certain non-quadratic -ary bent
functions, our constructions can give rise to new strongly regular graphs for
small parameters.Comment: to appear in Journal of Algebraic Combinatoric
Experimental non-local generation of entanglement from independent sources
We experimentally demonstrate a non-local generation of entanglement from two
independent photonic sources in an ancilla-free process . Two bosons (photons)
are entangled in polarization space by steering into a novel interferometer
setup, in which they have never meet each other. The entangled photons are
delivered to polarization analyzers in different sites, respectively, and a
non-local interaction is observed. Entanglement is further verified by the way
of the measured violation of a CHSH type Bell's inequality with S-values of
2.54 and 27 standard deviations. Our results will shine a new light into the
understanding on how quantum mechanics works, have possible philosophic
consequences on the one hand and provide an essential element for quantum
information processing on the other hand. Potential applications of our results
are briefly discussed.Comment: 5 pages, 4 figure
Adaptive DCTNet for Audio Signal Classification
In this paper, we investigate DCTNet for audio signal classification. Its
output feature is related to Cohen's class of time-frequency distributions. We
introduce the use of adaptive DCTNet (A-DCTNet) for audio signals feature
extraction. The A-DCTNet applies the idea of constant-Q transform, with its
center frequencies of filterbanks geometrically spaced. The A-DCTNet is
adaptive to different acoustic scales, and it can better capture low frequency
acoustic information that is sensitive to human audio perception than features
such as Mel-frequency spectral coefficients (MFSC). We use features extracted
by the A-DCTNet as input for classifiers. Experimental results show that the
A-DCTNet and Recurrent Neural Networks (RNN) achieve state-of-the-art
performance in bird song classification rate, and improve artist identification
accuracy in music data. They demonstrate A-DCTNet's applicability to signal
processing problems.Comment: International Conference of Acoustic and Speech Signal Processing
(ICASSP). New Orleans, United States, March, 201
Restarted Hessenberg method for solving shifted nonsymmetric linear systems
It is known that the restarted full orthogonalization method (FOM)
outperforms the restarted generalized minimum residual (GMRES) method in
several circumstances for solving shifted linear systems when the shifts are
handled simultaneously. Many variants of them have been proposed to enhance
their performance. We show that another restarted method, the restarted
Hessenberg method [M. Heyouni, M\'ethode de Hessenberg G\'en\'eralis\'ee et
Applications, Ph.D. Thesis, Universit\'e des Sciences et Technologies de Lille,
France, 1996] based on Hessenberg procedure, can effectively be employed, which
can provide accelerating convergence rate with respect to the number of
restarts. Theoretical analysis shows that the new residual of shifted restarted
Hessenberg method is still collinear with each other. In these cases where the
proposed algorithm needs less enough CPU time elapsed to converge than the
earlier established restarted shifted FOM, weighted restarted shifted FOM, and
some other popular shifted iterative solvers based on the short-term vector
recurrence, as shown via extensive numerical experiments involving the recent
popular applications of handling the time fractional differential equations.Comment: 19 pages, 7 tables. Some corrections for updating the reference
Generation of two-giant-atom entanglement in waveguide-QED systems
We study the generation of quantum entanglement between two giant atoms
coupled to a one-dimensional waveguide. Since each giant atom interacts with
the waveguide at two separate coupling points, there exist three different
coupling configurations in the two-atom waveguide system: the separated,
braided, and nested couplings. Within the Wigner-Weisskopf framework for single
coupling points, the quantum master equations governing the evolution of the
two giant atoms are obtained. For each coupling configuration, the entanglement
dynamics of the two giant atoms is studied, including the cases of two
different atomic initial states: single- and double-excitation states. It is
shown that the generated entanglement depends on the coupling configuration,
phase shift, and atomic initial state. For the single-excitation initial state,
there exists steady-state entanglement for these three couplings due to the
appearance of the dark state. For the double-excitation initial state, an
entanglement sudden birth is observed via adjusting the phase shift. In
particular, the maximal entanglement for the nested coupling is about one order
of magnitude larger than those of separate and braided couplings. In addition,
the influence of the atomic frequency detuning on the entanglement generation
is studied. This work can be utilized for the generation and control of atomic
entanglement in quantum networks based on giant-atom waveguide-QED systems,
which have wide potential applications in quantum information processing.Comment: 13 pages, 8 figures, to appear in Physical Review A. arXiv admin
note: substantial text overlap with arXiv:2303.1474
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