Analysis and Synthesis in Atomic Physics

George William Series

Rowan Brad Quni-Gudzinas

A comprehensive synthesis of the adelic physics program, unifying p-adic and real approaches to quantum phenomena through ultrametric analysis and Bruhat-Tits geometry.

Frederick W. Strauch, Douglas Onyango, Kurt A. Jacobs +1 more

We present a theoretical analysis of methods to synthesize entangled states of two superconducting resonators. These methods use experimentally demonstrated interactions of resonators with artificial atoms and offer efficient routes to generate nonclassical states. We analyze physical implementations, energy level structure, and the effects of decoherence through detailed dynamical simulations.

Amlan Chakrabarti, Susmita Sur‐Kolay

Abstract—Quantum Boolean circuit synthesis issues are becoming a key area of research in the domain of quantum computing. For gate-level synthesis, minterm based and Reed-Muller canonical decomposition techniques are adopted as common approaches. Physical implementation of quantum circuits have inherent constraints and hence nearest neighbour template of input lines is gaining importance. In this work, we present a brief analysis of the various Fixed Polarity Reed Muller (FPRM) expressions for a given quantum Boolean circuit and also introduce the rules for the nearest neighbour template-based synthesis of these forms. The corresponding circuit costs are evaluated.