Add to ORKGThe category of Hilbert spaces and linear contractions is characterised by elementary categorical properties that do not refer to probabilities, complex numbers, norm, continuity, convexity, or dimension.Comment: 16 page
The term "Cleaning Lemma" refers to a family of similar propositions that have been used in Quantum ...
We present an alternative (constructive) proof of the statement that for every completely positive, ...
This paper considers the nature and role of axioms from the point of view of the current debates abo...
We provide axioms that guarantee a category is equivalent to that of continuous linear functions bet...
summary:By modifying a scheme (due to Gunson) it can be shown that the space generated by all irredu...
AbstractElaborating on our joint work with Abramsky in [S. Abramsky, B. Coecke, B. (2004) A categori...
Elaborating on our joint work with Abramsky in [S. Abramsky, B. Coecke, B. (2004) A categorical sema...
The problem of extending the insights and techniques of categorical quantum mechanics to infinite-di...
We show that Hilbert spaces should not be considered the ``correct'' spaces to represent quantum sta...
This book is an introduction to the theory of Hilbert space, a fundamental tool for non-relativistic...
In this article we introduce the concept of an LK∗-algebroid, which is defined axiomatically. The ma...
We study Hilbert spaces $H$ interpreted, in an appropriate sense, in a first-order theory. Under a n...
In this note we try to show that some a priori justifications can be given for the use of Hilbert sp...
In the book [4] the general problem of reconstructing the Hilbert space formulation in quantum theor...
The purpose of this paper is to show that the mathematics of quantum mechanics (QM) is the mathemati...
The term "Cleaning Lemma" refers to a family of similar propositions that have been used in Quantum ...
We present an alternative (constructive) proof of the statement that for every completely positive, ...
This paper considers the nature and role of axioms from the point of view of the current debates abo...
We provide axioms that guarantee a category is equivalent to that of continuous linear functions bet...
summary:By modifying a scheme (due to Gunson) it can be shown that the space generated by all irredu...
AbstractElaborating on our joint work with Abramsky in [S. Abramsky, B. Coecke, B. (2004) A categori...
Elaborating on our joint work with Abramsky in [S. Abramsky, B. Coecke, B. (2004) A categorical sema...
The problem of extending the insights and techniques of categorical quantum mechanics to infinite-di...
We show that Hilbert spaces should not be considered the ``correct'' spaces to represent quantum sta...
This book is an introduction to the theory of Hilbert space, a fundamental tool for non-relativistic...
In this article we introduce the concept of an LK∗-algebroid, which is defined axiomatically. The ma...
We study Hilbert spaces $H$ interpreted, in an appropriate sense, in a first-order theory. Under a n...
In this note we try to show that some a priori justifications can be given for the use of Hilbert sp...
In the book [4] the general problem of reconstructing the Hilbert space formulation in quantum theor...
The purpose of this paper is to show that the mathematics of quantum mechanics (QM) is the mathemati...
The term "Cleaning Lemma" refers to a family of similar propositions that have been used in Quantum ...
We present an alternative (constructive) proof of the statement that for every completely positive, ...
This paper considers the nature and role of axioms from the point of view of the current debates abo...