p7math.CT

Category

math.CT

36 papers

Introducing categories to the practicing physicist

Bob Coecke

0808.1032

Mathematical Foundations for a Compositional Distributional Model of Meaning

Bob Coecke, Mehrnoosh Sadrzadeh, Stephen Clark

1003.4394

A survey of graphical languages for monoidal categories

Peter Selinger

0908.3347

Abstract structure of unitary oracles for quantum algorithms

William Zeng, Jamie Vicary

1406.1278

Quantum Picturalism

Bob Coecke

0908.1787

Finite dimensional Hilbert spaces are complete for dagger compact closed categories

Peter Selinger

1207.6972

Cartesian Bicategories II

A. Carboni, G. M. Kelly, R. F. C Walters, R. J. Wood

0708.1921

On the Classification of Topological Field Theories

Jacob Lurie

0905.0465

Classical and quantum structuralism

Bob Coecke, Eric Oliver Paquette, Dusko Pavlovic

0904.1997

Introduction to Categories and Categorical Logic

Samson Abramsky, Nikos Tzevelekos

1102.1313

Categories in Control

John C. Baez, Jason Erbele

1405.6881

Physics, Topology, Logic and Computation: A Rosetta Stone

John C. Baez, Mike Stay

0903.0340

Interacting Quantum Observables: Categorical Algebra and Diagrammatics

Bob Coecke, Ross Duncan

0906.4725

Constructing symmetric monoidal bicategories

Michael A. Shulman

1004.0993

Phase groups and the origin of non-locality for qubits

Bob Coecke, Bill Edwards, Robert W. Spekkens

1003.5005

Quantum and classical structures in nondeterminstic computation

Dusko Pavlovic

0812.2266

The compositional structure of multipartite quantum entanglement

Bob Coecke, Aleks Kissinger

1002.2540

A Prehistory of n-Categorical Physics

John C. Baez, Aaron Lauda

0908.2469

Toy quantum categories

Bob Coecke, Bill Edwards

0808.1037

Graph Neural Networks are Dynamic Programmers

Andrew Dudzik, Petar Veličković

2203.15544

The low-dimensional structures formed by tricategories

Richard Garner, Nick Gurski

0711.1761

Categorical formulation of quantum algebras

Jamie Vicary

0805.0432

On unitary 2-representations of finite groups and topological quantum field theory

Bruce Bartlett

0901.3975

Framed bicategories and monoidal fibrations

Michael A. Shulman

0706.1286

Loop spaces, and coherence for monoidal and braided monoidal bicategories

Nick Gurski

1102.0981

Homotopy theory of higher categories

Carlos T. Simpson

1001.4071

Abstract Scalars, Loops, and Free Traced and Strongly Compact Closed Categories

Samson Abramsky

0910.2931

The periodic table of $n$-categories for low dimensions II: degenerate tricategories

Eugenia Cheng, Nick Gurski

0706.2307

(Infinity,2)-Categories and the Goodwillie Calculus I

Jacob Lurie

0905.0462

Categories for the practising physicist

Bob Coecke, Eric Oliver Paquette

0905.3010

Abstract Physical Traces

Samson Abramsky, Bob Coecke

0910.3144

No-Cloning In Categorical Quantum Mechanics

Samson Abramsky

0910.2401

Environment and classical channels in categorical quantum mechanics

Bob Coecke, Simon Perdrix

1004.1598

Categorical quantum mechanics

Samson Abramsky, Bob Coecke

0808.1023

The periodic table of n-categories for low dimensions I: degenerate categories and degenerate bicategories

Eugenia Cheng, Nick Gurski

0708.1178

Pursuing Stacks

Alexander Grothendieck

2111.01000