Acknowledgements I would like to begin by thanking Prof Andrew Steane, my supervisor. His enthusiasm and advice have been indispensable in completing the work presented here: from the quick fixes to the bigger pictures, and all the details in between. I must also express my gratitude to Prof Derek Stacey. It has been a pleasure and a privilege to work alongside them both. I feel I must mention the other members of the ion-trapping group, if only to ensure that they'll let me back into the department. I am grateful to Dr. David Lucas for his companionship and his tirelessness both in the office and while running experiments. Matthew McDonnell, Dr. Charles Donald and, more recently, Simon Webster and Jonathan Home have all contributed towards making my time as a DPhil student worthwhile. Spending several years in the same office as them has necessarily honed my wit as well as my wits, and I will miss having someone to insult. Thanks also to Drs. Angel Ramos and Marek Sasura, and to Dr. David Stevens. My construction work and time in the basement of the Clarendon Laboratory would not have been the same without the presence of Graham Quelch and George Matthews. Between them they have no doubt saved several of my fingers during machining or drilling. Also I appreciate the hard work carried out by the occupants of the main Clarendon Workshop on my behalf, and also by David T Smith, Johan Fopma and everyone in the Central Electronics Group. Thanks also to everyone else in the department---academic, administrative and support staff---who have been consistently helpful and generous with their time. My undergraduate tutor, Dr. Geoff Brooker, might be considered to be indirectly to blame for everything presented here. His tuition was inspirational, and showed me just how enjoyable physics could be. He has recently offered advice on the work in this thesis, for which I am also grateful. I must also mention Michael Bancroft, who provided so much encouragement at school: thank you. After so many years in Oxford I have friends far too numerous to thank here individually. DougSoc, that indescribable, inscrutable society of either `weirdos and oddballs' or `intellectual giants at play:' I'm glad I have been able to come out to play with you all so many times, and I'm grateful for the skinned knees and grass stains it left me with. Members of Wadham, past and present: my friendships with you are what turned my occupation of just another collection of limestone quadrangles into something worthwhile. Friends from Queen Elizabeth's Grammar School: if these acknowledgements were being read out at Speech Night, we'd all be asleep by now, or running a book on what time it will all finish. I miss your companionship, now we have all dispersed. The emotional and financial assistance of my family has been inexhaustible. I am grateful for the support, love and pride of my parents and my Grandfather, and of my late Grandmother. Thank you so much; I love you all and owe you a debt I can never repay. It only remains for me to thank Kate: for the freaky faces she pulls and the squeaky noises she makes; for the late-night telephone calls and the animal impressions; my prop, my friend, my darlen.