Quantum Technology is claimed to disrupt everything from how we navigate, observe our reality, compute critical information and propagate that information over networks, however, the constraints of quantum information theory and practical economics may strictly limit what’s possible. This talk will highlight a few well promoted use cases, present the underlying assumptions, and then walk through the optimistic and pessimistic cases for and against each use case. We will follow a "bottoms up" approach supported by data models with the goal of understanding what the overall market might look like over the next approximately 5 years.
Low density parity-check code (LDPC) is an error correcting code used in noisy communication channel (e.g. AWGN) to reduce the probability of error in information. By using LDPC codes, this probability can be made comparatively small, so that the data transmission rate can be as close to Shannon's limit. The decoding of Low Density Parity Check (LDPC) codes by iterative process of belief propagation gives challenges for designers looking for real time performance in communication systems. This thesis work proposes the use of Artificial Neural Networks (ANN) to replace belief propagation to approach closer to Shannon's limit more closer than other traditional decoding methods. This thesis is intended to design a new methodology to decode LDPC codes in Non-iterative manner with the help of ANN and Look Up Table (LUT). This work is at initial stage and will be extended for better performance.
We make use of the calculation of Achiam and Kosterlitz and investigate the generalization of the Migdal-type renormalization-group calculation to critical dynamics, by looking at the one- and two-dimensional kinetic Ising model with no conserved magnetization. In the two-dimensional case the dynamical critical index
ZM(magneticperturbation)=2.064 and
ZE(energylikeperturbation)=1.819 for scale factor $\ensuremath{\lambda}=1$.
ZM involves the static $\frac{\ensuremath{\beta}}{\ensuremath{\nu}}$ exponent, while
ZE involves $\frac{1}{\ensuremath{\nu}}$, and therefore, it is not surprising that
ZM is closer to the high-temperature expansion results, since $\frac{\ensuremath{\beta}}{\ensuremath{\nu}}$ in the Migdal approximation for statics is much closer to the exact value than $\frac{1}{\ensuremath{\nu}}$. In one dimension we obtain
ZM=ZE=2, which is the exact result of Glauber.