Logic and algebraic structures in quantum computing
2016
Preface Jennifer Chubb, Ali Eskandarian and Valentina Harizanov Introduction Jennifer Chubb, Ali Eskandarian and Valentina Harizanov 1. A (very) brief tour of quantum mechanics, computation, and category theory Jennifer Chubb and Valentina Harizanov 2. Could logic be empirical? The Putnam-Kripke debate Allen Stairs 3. The essence of quantum theory for computers William C. Parke 4. Fiber products of measures and quantum foundations Adam Brandenburger and H. Jerome Keisler 5. Operational theories and categorical quantum mechanics Samson Abramsky and Chris Heunen 6. Relating operator spaces via adjunctions Bart Jacobs and Jorik Mandemaker 7. Topos-based logic for quantum systems and bi-Heyting algebras Andreas Doring 8. The logic of quantum mechanics - take II Bob Coecke 9. Reasoning about meaning in natural language with compact closed categories and Frobenius algebras Dimitri Kartsaklis, Mehrnoosh Sadrzadeh, Stephen Pulman and Bob Coecke 10. Knot logic and topological quantum computing with Majorana fermions Louis H. Kauffman Index.
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