Quantum picturalism
B Coecke - Contemporary physics, 2010 - Taylor & Francis
Why did it take us 50 years since the birth of the quantum mechanical formalism to discover
that unknown quantum states cannot be cloned? Yet, the proof of the 'no-cloning theorem'is …
that unknown quantum states cannot be cloned? Yet, the proof of the 'no-cloning theorem'is …
Interacting quantum observables: categorical algebra and diagrammatics
This paper has two tightly intertwined aims:(i) to introduce an intuitive and universal
graphical calculus for multi-qubit systems, the ZX-calculus, which greatly simplifies …
graphical calculus for multi-qubit systems, the ZX-calculus, which greatly simplifies …
[BOOK][B] Reasoning in quantum theory: sharp and unsharp quantum logics
ML Dalla Chiara, R Giuntini, R Greechie - 2013 - books.google.com
" Is quantum logic really logic?" This book argues for a positive answer to this question once
and for all. There are many quantum logics and their structures are delightfully varied. The …
and for all. There are many quantum logics and their structures are delightfully varied. The …
[BOOK][B] Applying mathematics: Immersion, inference, interpretation
How is that when scientists need some piece of mathematics through which to frame their
theory, it is there to hand? What has been called'the unreasonable effectiveness of …
theory, it is there to hand? What has been called'the unreasonable effectiveness of …
Axioms for the category of Hilbert spaces
We provide axioms that guarantee a category is equivalent to that of continuous linear
functions between Hilbert spaces. The axioms are purely categorical and do not presuppose …
functions between Hilbert spaces. The axioms are purely categorical and do not presuppose …
The mathematics of text structure
B Coecke - Joachim Lambek: The Interplay of Mathematics, Logic …, 2021 - Springer
In previous work we gave a mathematical foundation, referred to as DisCoCat, for how
words interact in a sentence in order to produce the meaning of that sentence. To do so, we …
words interact in a sentence in order to produce the meaning of that sentence. To do so, we …
Reconstructing quantum theory from diagrammatic postulates
A reconstruction of quantum theory refers to both a mathematical and a conceptual
paradigm that allows one to derive the usual formulation of quantum theory from a set of …
paradigm that allows one to derive the usual formulation of quantum theory from a set of …
Order effects in sequential measurements of non-commuting psychological observables
H Atmanspacher, H Römer - Journal of Mathematical Psychology, 2012 - Elsevier
Sequential measurements of non-commuting observables produce order effects that are
well-known in quantum physics. But their conceptual basis, a significant measurement …
well-known in quantum physics. But their conceptual basis, a significant measurement …
Quantum mechanics as a theory of probability
I Pitowsky - Physical theory and its interpretation: Essays in honor …, 2006 - Springer
We develop and defend the thesis that the Hilbert space formalism of quantum mechanics is
a new theory of probability. The theory, like its classical counterpart, consists of an algebra of …
a new theory of probability. The theory, like its classical counterpart, consists of an algebra of …
[BOOK][B] Reversing the arrow of time
BW Roberts - 2022 - books.google.com
The arrow of time refers to the curious asymmetry that distinguishes the future from the past.
Reversing the Arrow of Time argues that there is an intimate link between the symmetries …
Reversing the Arrow of Time argues that there is an intimate link between the symmetries …