Implementation of controlled phase shift gates and Collins version of Deutsch-Jozsa algorithm on a quadrupolar spin-7/2 nucleus using non-adiabatic geometric phases

TL;DR

This paper demonstrates the implementation of controlled phase shift gates and the Deutsch-Jozsa algorithm on a quadrupolar spin-7/2 nucleus using non-adiabatic geometric phases, showcasing a novel quantum control technique.

Contribution

It introduces a general method for implementing controlled phase shift gates in N-level systems and applies it to execute the Deutsch-Jozsa algorithm on a quadrupolar nucleus.

Findings

Successful implementation of controlled phase shift gates using geometric phases.

Execution of the Deutsch-Jozsa algorithm on a quadrupolar spin system.

Validation of the method's utility for quantum information processing.

Abstract

In this work Controlled phase shift gates are implemented on a qaudrupolar system, by using non-adiabatic geometric phases. A general procedure is given, for implementing controlled phase shift gates in an 'N' level system. The utility of such controlled phase shift gates, is demonstrated here by implementing 3-qubit Deutsch-Jozsa algorithm on a 7/2 quadrupolar nucleus oriented in a liquid crystal matrix.