The Mathematical Structure of Non-Locality & Contextuality
The Mathematical Structure of Non-locality & Contextuality Shane Mansfield Wolfson College University of Oxford A thesis submitted for the degree of Doctor of Philosophy Trinity Term 2013 To my family. Acknowledgements I would like to thank my supervisors Samson Abramsky and Bob Coecke for taking me under their wing, and for their encouragement and guidance throughout this project; my collaborators Samson Abramsky, Tobias Fritz and Rui Soares Barbosa, who have contributed to some of the work contained here; and all of the members of the Quantum Group, past and present, for providing such a stimulating and colourful environment to work in. I gratefully acknowledge financial support from the National University of Ireland Travelling Studentship programme. I'm fortunate to have many wonderful friends, who have played a huge part in making this such an enjoyable experience and who have been a great support to me. A few people deserve a special mention: Rui Soares Barbosa, who caused me to and kept me from `banging two empty halves of coconut together' at various times, and who very generously proof-read this dissertation; Daniel `The Font of all Knowledge' Corbett; Tahir Mansoori, who looked after me when I was laid up with a knee injury; mo chara dh´ılis,fear m´orna Gaeilge, Daith´ı O´ R´ıog´ain;Johan Paulsson, my companion since Part III; all of my friends at Wolfson College, you know who you are; Alina, Michael, Jon & Pernilla, Matteo; Bowsh, Matt, Lewis; Ant´on,Henry, Vincent, Joe, Ruth, the Croatians; Jerry & Joe at the lodge; the Radish, Ray; my flatmates; again, the entire Quantum Group, past and present; the Cambridge crew, Raph, Emma & Marion; Colm, Dave, Goold, Samantha, Steve, Tony and the rest of the UCC gang; the veteran Hardy Bucks, Rossi, Diarmuid & John, and the Abbeyside lads; Brendan, Cormac, and the organisers and participants of the PSM.
[Show full text]