Applications of coherent classical communication and the Schur transform to quantum information theory

TL;DR

This paper introduces two new quantum tools—coherent classical communication and an efficient Schur transform circuit—that advance quantum information processing capabilities.

Contribution

It presents novel quantum methods: one for coherent classical communication and another for implementing the Schur transform efficiently.

Findings

Development of a quantum protocol for coherent classical communication

Design of an efficient quantum circuit for the Schur transform

Enhancement of quantum information processing techniques

Abstract

Quantum mechanics has led not only to new physical theories, but also a new understanding of information and computation. Quantum information began by yielding new methods for achieving classical tasks such as factoring and key distribution but also suggests a completely new set of quantum problems, such as sending quantum information over quantum channels or efficiently performing particular basis changes on a quantum computer. This thesis contributes two new, purely quantum, tools to quantum information theory--coherent classical communication in the first half and an efficient quantum circuit for the Schur transform in the second half.