Quantum computing, phase estimation and applications

TL;DR

This thesis explores quantum phase estimation algorithms, their robustness in small testbeds, and introduces improvements, while also providing an overview of quantum cryptography topics like steganography and authentication.

Contribution

It derives an iterative quantum phase estimation algorithm from Kitaev's method, analyzes its robustness, and proposes an improved phase reference protocol, alongside a quantum cryptography overview.

Findings

Robustness analysis of IPEA in small testbeds

Development of an improved phase reference protocol

Insights into quantum cryptography applications

Abstract

In this thesis, attention is paid to small experimental testbed applications with respect to the quantum phase estimation algorithm, the core approach for finding energy eigenvalues. An iterative scheme for quantum phase estimation (IPEA) is derived from the Kitaev phase estimation, a study of robustness of the IPEA utilized as a few-qubit testbed application is performed, and an improved protocol for phase reference alignment is presented. Additionally, a short overview of quantum cryptography is given, with a particular focus on quantum steganography and authentication.