DeepAI AI Chat
Log In Sign Up

Effectuses in Categorical Quantum Foundations

10/27/2019
by   Kenta Cho, et al.
0

This thesis develops the theory of effectuses as a categorical axiomatic approach to quantum theory. It provides a comprehensive introduction to effectus theory and reveals its connections with various other topics and approaches.

READ FULL TEXT

page 1

page 2

page 3

page 4

05/01/2020

Effectus of Quantum Probability on Relational Structures

The notion of effectus from categorical logic is relevant in the emergin...
03/05/2018

Dagger and dilations in the category of von Neumann algebras

This doctoral thesis is a mathematical study of quantum computing, conce...
07/12/2022

Quantum de Finetti Theorems as Categorical Limits, and Limits of State Spaces of C*-algebras

De Finetti theorems tell us that if we expect the likelihood of outcomes...
04/08/2019

A HoTT Quantum Equational Theory (Extended Version)

This paper presents an equational theory for the QRAM model of quantum c...
04/12/2020

At the Interface of Algebra and Statistics

This thesis takes inspiration from quantum physics to investigate mathem...
03/15/2022

Categorical Representation Learning and RG flow operators for algorithmic classifiers

Following the earlier formalism of the categorical representation learni...