Hardcore and Ising models are two most important families of two state spin systems in statistic physics. Partition function of spin systems is the center concept in statistic physics which connects microscopic particles and their interactions with their macroscopic and statistical properties of materials such as energy, entropy, ferromagnetism, etc. If each local interaction of the system invo...

In this article we study a set of integrable quantum cellular automata,the hardcore gases (QHCG), with an arbitrary local Hilbert space dimension, and discuss the matrix product ansatz based approach for solving dynamics operators analytically. Subsequently, focus on operator spreading, in particular out-of-time ordered correlation functions (OTOCs), weight spreading entanglement entropy (OSEE)...

In this paper, a modular, configurable and versatile prototype platform for real-time video and image processing is presented. Based on the FPGA technology and a RISC softcore processor for data processing, the platform supports simultaneous HW/SW co-design and partitioning. This reduces application design cycle and shortens design iterations, especially considering the later design steps. As e...

Hardcore lemmas are results in complexity theory which state that average-case hardness must have a very hard “kernel”, that is a subset of instances where the given problem is extremely hard. They find important applications in hardness amplification. In this paper we revisit the following two fundamental results: (a) The hardcore lemma for unpredictability, due to Impagliazzo (FOCS ’95). It s...

This paper considers two questions in cryptography. 1. Simultaneous Hardcore Bits. Let f be a one-way function. We say that a block of bits of x are simultaneously hard-core for f(x) if given f(x), they cannot be distinguished from a random string of the same length. Although there are many examples of (candidate) one-way functions with one hardcore bit (or even O(log n) simultaneously hardcore...

This paper introduces a new approach for a network on chip (NOC) design which is based on a NlogN interconnect topology. The intended application area for the NOC is the real-time communication of multiprocessors that are hosted by a single Field Programmable Gate Array (FPGA). The proposed NOC is an on-chip multistage interconnection network for which an upper limit can be guaranteed that is a...

The property of nanocomposites is crucially affected by nanoparticle dispersion. Transmission Electron Microscopy (TEM) is the “golden standard” in nanoparticle dispersion characterization. A TEM Micrograph is a 2-dimensional (2D) projection of a 3-dimentional (3D) ultra-thin specimen (50~100 nanometers thick) along the optic axis. Existing dispersion quantification methods assume complete spat...