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A categorical semantics of quantum protocols
- S. Abramsky, B. Coecke
- Computer ScienceProceedings of the 19th Annual IEEE Symposium on…
- 18 February 2004
TLDR
Interacting quantum observables: categorical algebra and diagrammatics
TLDR
Mathematical Foundations for a Compositional Distributional Model of Meaning
- B. Coecke, M. Sadrzadeh, S. Clark
- MathematicsArXiv
- 1 March 2010
TLDR
Interacting Quantum Observables
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Picturing Quantum Processes: A First Course in Quantum Theory and Diagrammatic Reasoning
- B. Coecke, A. Kissinger
- Physics
- 27 April 2017
TLDR
Quantum measurements without sums
- B. Coecke, Dusko Pavlovic
- Physics
- 3 August 2006
Sums play a prominent role in the formalisms of quantum me- chanics, whether for mixing and superposing states, or for composing state spaces. Surprisingly, a conceptual analysis of quantum…
A Compositional Distributional Model of Meaning
We propose a mathematical framework for a unification of the distributional theory of meaning in terms of vector space models, and a compositional theory for grammatical types, namely Lambek’s…
A new description of orthogonal bases
- B. Coecke, Dusko Pavlovic, Jamie Vicary
- MathematicsMathematical Structures in Computer Science
- 5 October 2008
We show that an orthogonal basis for a finite-dimensional Hilbert space can be equivalently characterised as a commutative †-Frobenius monoid in the category FdHilb, which has finite-dimensional…
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