General probabilistic theories: An introduction

M Plávala - Physics Reports, 2023 - Elsevier
We introduce the framework of general probabilistic theories (GPTs for short). GPTs are a
class of operational theories that generalize both finite-dimensional classical and quantum …

Generalized probability theories: what determines the structure of quantum theory?

P Janotta, H Hinrichsen - Journal of Physics A: Mathematical and …, 2014 - iopscience.iop.org
The framework of generalized probabilistic theories is a powerful tool for studying the
foundations of quantum physics. It provides the basis for a variety of recent findings that …

Quantum generalisation of feedforward neural networks

KH Wan, O Dahlsten, H Kristjánsson, R Gardner… - npj Quantum …, 2017 - nature.com
We propose a quantum generalisation of a classical neural network. The classical neurons
are firstly rendered reversible by adding ancillary bits. Then they are generalised to being …

A review and reformulation of macroscopic realism: resolving its deficiencies using the framework of generalized probabilistic theories

D Schmid - Quantum, 2024 - quantum-journal.org
The notion of macrorealism was introduced by Leggett and Garg in an attempt to capture our
intuitive conception of the macroscopic world, which seems difficult to reconcile with our …

Unification of Energy Concepts in Generalized Phase Space Theories

L Jiang, DR Terno, O Dahlsten - Physical Review Letters, 2024 - APS
We consider how to describe Hamiltonian mechanics in generalized probabilistic theories
with the states represented as quasiprobability distributions. We give general operational …

Framework for generalized Hamiltonian systems through reasonable postulates

L Jiang, DR Terno, O Dahlsten - Physical Review A, 2024 - APS
Hamiltonian mechanics describes the evolution of a system through its Hamiltonian. The
Hamiltonian typically also represents the energy observable, a Noether-conserved quantity …

Higher-order interference in extensions of quantum theory

CM Lee, JH Selby - Foundations of Physics, 2017 - Springer
Quantum interference, manifest in the two slit experiment, lies at the heart of several
quantum computational speed-ups and provides a striking example of a quantum …

Generalised phase kick-back: the structure of computational algorithms from physical principles

CM Lee, JH Selby - New Journal of Physics, 2016 - iopscience.iop.org
The advent of quantum computing has challenged classical conceptions of which problems
are efficiently solvable in our physical world. This motivates the general study of how …

[图书][B] Quantum mechanics between ontology and epistemology

FJ Boge - 2018 - Springer
Florian J. Boge Page 1 European Studies in Philosophy of Science Florian J. Boge
Quantum Mechanics Between Ontology and Epistemology Page 2 European Studies in …

On defining the Hamiltonian beyond quantum theory

D Branford, OCO Dahlsten, AJP Garner - Foundations of Physics, 2018 - Springer
Energy is a crucial concept within classical and quantum physics. An essential tool to
quantify energy is the Hamiltonian. Here, we consider how to define a Hamiltonian in …