Computation, Logic, Games, and Quantum Foundations. The Many Facets of Samson Abramsky

Use of a Canonical Hidden-Variable Space in Quantum Mechanics.- Imperfect Information in Logic and Concurrent Games.- Compositional Quantum Logic.- The Algebra of Directed Acyclic Graphs.- Diagrammatic Reasoning for Delay-Insensitive Asynchronous Circuits.- Payoffs, Intensionality and Abstraction in Games.- On the Theory of Composition in Physics.- On the Functor 2.- Quantum Speedup and Categorical Distributivity.- Unifying Semantics for Concurrent Programming.- Unfixing the Fixpoint: The Theories of the lamdaY -Calculus.- Continuous Domain Theory in Logical Form.- Presheaf Models of Quantum Computation: An Outline.- Nothing Can Be Fixed.- Dialogue Categories and Frobenius Monoids.- Anatomy of a Domain of Continuous Random Variables II.- Towards Nominal Abramsky.- Techniques for Formal Modelling and Analysis of Quantum Systems.- Quantum Field Theory for Legspinners.- Bicompletions of Distance Matrices.- Partial Recursive Functions and Finality.- Breaking the Atom with Samson.- Reasoning about Strategies.- Domain Theory in Topical Form.- Kolmogorov Complexity of Categories.

[1]  D. Aharonov,et al.  The quantum FFT can be classically simulated , 2006, quant-ph/0611156.

[2]  P. Selinger,et al.  Quantum lambda calculus , 2010 .

[3]  S. Lack,et al.  Introduction to extensive and distributive categories , 1993 .

[4]  Peter W. Shor,et al.  Algorithms for quantum computation: discrete logarithms and factoring , 1994, Proceedings 35th Annual Symposium on Foundations of Computer Science.

[5]  Benoît Valiron,et al.  A linear-non-linear model for a computational call-by-value lambda calculus (extended abstract) , 2008, FoSSaCS.

[6]  Eugenio Moggi,et al.  Notions of Computation and Monads , 1991, Inf. Comput..

[7]  A. Joyal,et al.  The geometry of tensor calculus, I , 1991 .

[8]  J. Robin B. Cockett,et al.  Introduction to distributive categories , 1993, Mathematical Structures in Computer Science.

[9]  Benoît Valiron,et al.  A Lambda Calculus for Quantum Computation with Classical Control , 2005, TLCA.

[10]  Peter Selinger,et al.  Dagger Compact Closed Categories and Completely Positive Maps: (Extended Abstract) , 2007, QPL.

[11]  Peter Selinger,et al.  Towards a quantum programming language , 2004, Mathematical Structures in Computer Science.

[12]  Saunders MacLane,et al.  Duality for groups , 1950 .

[13]  Robert Spalek,et al.  Quantum Fan-out is Powerful , 2005, Theory Comput..

[14]  R. Blute,et al.  Natural deduction and coherence for weakly distributive categories , 1996 .

[15]  Samson Abramsky,et al.  A categorical semantics of quantum protocols , 2004, Proceedings of the 19th Annual IEEE Symposium on Logic in Computer Science, 2004..

[16]  Paul-André Melliès Categorical models of linear logic revisited , 2002 .

[17]  S. Braunstein,et al.  Impossibility of deleting an unknown quantum state. , 1999, Nature.

[18]  Michael A. Nielsen,et al.  Quantum Computation and Quantum Information Theory , 2000 .

[19]  Eugenio Moggi,et al.  Computational lambda-calculus and monads , 1989, [1989] Proceedings. Fourth Annual Symposium on Logic in Computer Science.

[20]  Benoît Valiron,et al.  On a Fully Abstract Model for a Quantum Linear Functional Language: (Extended Abstract) , 2008, QPL.

[21]  Peter Hines Quantum circuit oracles for Abstract Machine computations , 2010, Theor. Comput. Sci..

[22]  R. A. G. Seely,et al.  Linear Logic, -Autonomous Categories and Cofree Coalgebras , 1989 .

[23]  W. Wootters,et al.  A single quantum cannot be cloned , 1982, Nature.

[24]  Samson Abramsky,et al.  Abstract Scalars, Loops, and Free Traced and Strongly Compact Closed Categories , 2005, CALCO.

[25]  Peter W. Shor,et al.  Algorithms for Quantum Computation: Discrete Log and Factoring (Extended Abstract) , 1994, FOCS 1994.

[26]  Miguel L. Laplaza Coherence for categories with associativity, commutativity and distributivity , 1972 .

[27]  Michael Barr,et al.  Algebraically compact functors , 1992 .

[28]  Octavio Malherbe,et al.  Categorical models of computation: partially traced categories and presheaf models of quantum computation , 2013, 1301.5087.

[29]  Dusko Pavlovic,et al.  Quantum measurements without sums , 2007 .

[30]  Thierry Paul,et al.  Quantum computation and quantum information , 2007, Mathematical Structures in Computer Science.

[31]  M. Laplaza,et al.  Coherence for distributivity , 1972 .