-
1
-
2
-
3
Infinite-dimensional Categorical Quantum Mechanics
Published 2017-01-01“…We use non-standard analysis to define a category *Hilb suitable for categorical quantum mechanics in arbitrary separable Hilbert spaces, and we show that standard bounded operators can be suitably embedded in it. …”
Get full text
Article -
4
-
5
Operational theories and Categorical quantum mechanics
Published 2016“…We show how models of categorical quantum mechanics have representations as operational theories. …”
Book section -
6
Causal structure in categorical quantum mechanics
Published 2012“…<p>Categorical quantum mechanics is a way of formalising the structural features of quantum theory using category theory. …”
Thesis -
7
Quantum Field Theory in Categorical Quantum Mechanics
Published 2019-01-01“…We use tools from non-standard analysis to formulate the building blocks of quantum field theory within the framework of categorical quantum mechanics. Building upon previous work, we construct an object of *Hilb having quantum fields as states and we show that the usual ladder and field operators can be defined as suitable endomorphisms. …”
Get full text
Article -
8
Dagger linear logic for categorical quantum mechanics
Published 2021-11-01“…It is this structure which is subsequently used to extend the key features of categorical quantum mechanics.…”
Get full text
Article -
9
Environment and classical channels in categorical quantum mechanics
Published 2012-11-01Get full text
Article -
10
-
11
Towards Quantum Field Theory in Categorical Quantum Mechanics
Published 2018-02-01“…In this work, we use tools from non-standard analysis to introduce infinite-dimensional quantum systems and quantum fields within the framework of Categorical Quantum Mechanics. We define a dagger compact category *Hilb suitable for the algebraic manipulation of unbounded operators, Dirac deltas and plane-waves. …”
Get full text
Article -
12
Strong complementarity and non−locality in categorical quantum mechanics
Published 2012Conference item -
13
Strong Complementarity and Non-locality in Categorical Quantum Mechanics
Published 2012“…Categorical quantum mechanics studies quantum theory in the framework of dagger-compact closed categories. …”
Journal article -
14
-
15
Strong Complementarity and Non-locality in Categorical Quantum Mechanics.
Published 2012Conference item -
16
H*−algebras and nonunital Frobenius algebras: first steps in infinite−dimensional categorical quantum mechanics
Published 2012Journal article -
17
Impossibility of Quantum Bit Commitment, a Categorical Perspective
Published 2020-03-01Subjects: Get full text
Article -
18
A Functorial Construction of Quantum Subtheories
Published 2017-05-01Subjects: “…categorical quantum mechanics…”
Get full text
Article -
19
Quantization, Frobenius and Bi Algebras from the Categorical Framework of Quantum Mechanics to Natural Language Semantics
Published 2017-07-01Subjects: Get full text
Article -
20
Quantum Latin squares and quantum functions: applications in quantum information
Published 2019Subjects:Thesis