Coherent States and Some Topics in Quantum Information Theory : Review

TL;DR

This review covers the fundamentals of coherent states, their algebraic generalizations, and recent advances in their swap and cloning processes, highlighting their significance in quantum information applications.

Contribution

It provides a comprehensive overview of coherent states, Lie algebra methods, and recent progress in quantum state manipulation techniques like swapping and cloning.

Findings

Review of coherent state constructions using Lie algebras

Summary of recent quantum information developments on state swapping and cloning

Discussion of Schwinger's boson method for Lie algebra representations

Abstract

In the first half we make a short review of coherent states and generalized coherent ones based on Lie algebras su(2) and su(1,1), and the Schwinger's boson method to construct representations of the Lie algebras. In the second half we make a review of recent developments on both swap of coherent states and cloning of coherent states which are important subjects in Quantum Information Theory.