The Gromov-Wasserstein (GW) framework adapts ideas from optimal transport to allow for the comparison of probability distributions defined on different metric spaces. Scalable computation GW distances and associated matchings graphs point clouds have recently been made possible by state-of-the-art algorithms such as S-GWL MREC. Each these algorithmic breakthroughs relies decomposing underlying ...

The paper investigates a new kind of controller--the quantized controller, which can give a close to optimum nonlinear control surface. In contrary to the rough control surface generated by the fuzzy controller, the quantized controller can give better and smoother control. The quantized controller is trainable. By using an error function and the gradient decent method, control surface can be f...

The proposed scheme is a multi level steganography in which steganography is done at two places. The cover image is divided into fixed size blocks and then Discrete Cosine Transformation is applied into each block of cover image. The resulting DCT coefficients are quantized using quantization process. In the quantized DCT coefficient, the encrypted data file is embedded by using Least Significa...

We study the possibility to establish L-operator’s formalism by Faddeev-ReshetikhinTakhtajan-Semenov-Tian-Shansky (FRST) for quantized current algebras, that is, for quantum affine algebras in the ”new realization ” by V. Drinfeld with the corresponding Hopf algebra structure and for their Yangian counterpart. We establish this formalism using the twisting procedure by Tolstoy and the second au...

It is shown that coherent quantum simultons (simultaneous solitary waves at two different frequencies) can undergo quadrature-phase squeezing as they propagate through a dispersive χ(2) waveguide. This requires a treatment of the coupled quantized fields including a quantized depleted pump field. A technique involving nonlinear stochastic parabolic partial differential equations using a nondiag...

A multiple antenna diversity scheme is investigated for digital communications. Antenna observations are immediately quantized and sent to a fusion center. At the fusion center, the quantized observations are combined to form a nal decision on which symbol was transmitted. The optimum reception scheme is described for the case where frequency shift keying is employed and where slow Rayleigh fad...

While quantum computers are capable of simulating many quantum systems efficiently, the simulation algorithms must begin with the preparation of an appropriate initial state. We present a method for generating physically relevant quantum states on a lattice in real space. In particular, the present algorithm is able to prepare general pure and mixed many-particle states of any number of particl...