The Implementation of Quantum Computing Operations with Phase Modulated Microwave Pulses and High-Spin Ions at Zero Magnetic Fields

TL;DR

This paper proposes a novel method for implementing quantum computing operations using phase-modulated microwave pulses on high-spin ions at zero magnetic field, introducing new pulse types and a polynomial representation of operators.

Contribution

It introduces a new physical implementation of quantum gates with phase-modulated microwave pulses on high-spin ions in zero magnetic fields, and a polynomial representation of exponential operators.

Findings

New microwave pulse types with variable phases and polarizations enable specific ion spin transitions.

A polynomial representation of exponential operators using Pauli matrices is proposed.

The method demonstrates potential for quantum computing in zero magnetic field environments.

Abstract

New physical implementations of quantum computing elementary operations by pulse manipulations with electron spins of paramagnetic ions having two electrons and spin S=1 in a zero magnetic field are proposed. New type of microwave pulses with variable phases and different polarizations are able to induce different transitions between ion spin states, and those transitions are described by quantum computing operators. To describe the effects of such pulses, a new way to present exponential operators as polynomials of Pauli matrices is proposed.