Operational quantum logic: An overview

B Coecke, D Moore, A Wilce - Current Research in Operational Quantum …, 2000 - Springer
The papers making up this volume deal with various aspects of what we may call
operational quantum logic. This subject-lying somewhere at the crossroads of mathematics …

Categorical structures enriched in a quantaloid: tensored and cotensored categories

I Stubbe - arXiv preprint math/0411366, 2004 - arxiv.org
Our subject is that of categories, functors and distributors enriched in a base quantaloid Q.
We show how cocomplete Q-categories are precisely those which are tensored and …

LQP: the dynamic logic of quantum information

A Baltag, S Smets - Mathematical structures in computer science, 2006 - cambridge.org
The main contribution of this paper is the introduction of a dynamic logic formalism for
reasoning about information flow in composite quantum systems. This builds on our …

Complete axiomatizations for quantum actions

A Baltag, S Smets - International Journal of Theoretical Physics, 2005 - Springer
We present two equivalent axiomatizations for a logic of quantum actions: one in terms of
quantum transition systems, and the other in terms of quantum dynamic algebras. The main …

Quantum logic as a dynamic logic

A Baltag, S Smets - Synthese, 2011 - Springer
We address the old question whether a logical understanding of Quantum Mechanics
requires abandoning some of the principles of classical logic. Against Putnam and others …

A prehistory of n-categorical physics

JC Baez, A Lauda - Deep Beauty: Understanding the Quantum …, 2011 - books.google.com
14 a prehistory of n-categorical physics just categories and bicategories). We also include a
review of some relevant aspects of twentieth-century physics. The most obvious roads to n …

Epistemic actions as resources

A Baltag, B Coecke… - Journal of Logic and …, 2007 - ieeexplore.ieee.org
We provide an algebraic semantics together with a sound and complete sequent calculus for
information update due to epistemic actions. This semantics is flexible enough to …

[图书][B] Quantum physics and linguistics: a compositional, diagrammatic discourse

C Heunen, M Sadrzadeh, E Grefenstette - 2013 - books.google.com
New scientific paradigms typically consist of an expansion of the conceptual language with
which we describe the world. Over the past decade, theoretical physics and quantum …

A dynamic-logical perspective on quantum behavior

A Baltag, S Smets - Studia Logica, 2008 - Springer
In this paper we show how recent concepts from Dynamic Logic, and in particular from
Dynamic Epistemic logic, can be used to model and interpret quantum behavior. Our main …

The dynamic turn in quantum logic

A Baltag, S Smets - Synthese, 2012 - Springer
In this paper we show how ideas coming from two areas of research in logic can reinforce
each other. The first such line of inquiry concerns the “dynamic turn” in logic and especially …