# The Sheaf-Theoretic Structure of Definite Causality

@article{Gogioso2021TheSS, title={The Sheaf-Theoretic Structure of Definite Causality}, author={Stefano Gogioso and Nicola Pinzani}, journal={Electronic Proceedings in Theoretical Computer Science}, year={2021} }

Also in the quantum theory one starts from certain numbers from which one deduces other numbers. [...] The perturbations which an observer inflicts on a system in order to observe it are directly subject to his control and are acts of his free will. It is exclusively the numbers which describe these acts of free choice which can be taken as initial numbers for a calculation in quantum theory. [47]

## One Citation

Closing Bell: Boxing black box simulations in the resource theory of contextuality

- Computer Science, PhysicsArXiv
- 2021

This chapter contains an exposition of the sheaf-theoretic framework for contextuality emphasising resourcetheoretic aspects, as well as some original results on this topic. In particular, we…

## References

SHOWING 1-10 OF 84 REFERENCES

Handbook of Quantum logic and Quantum Structures

- Mathematics
- 2007

Description: Quantum mechanics is said to be the most successful physical theory ever. It is, in fact, unique in its success when applied to concrete physical problems. On the other hand, however, it…

Can Quantum-Mechanical Description of Physical Reality be Considered Complete?

- Physics
- 1935

It is shown that a certain "criterion of physical reality" formulated in a recent article with the above title by A. Einstein, B. Podolsky and N. Rosen contains an essential ambiguity when it is…

Categorical quantum mechanics

- Physics, Mathematics
- 2008

This invited chapter in the Handbook of Quantum Logic and Quantum Structures consists of two parts: 1. A substantially updated version of quant-ph/0402130 by the same authors, which initiated the…

Categories of quantum and classical channels

- Mathematics, Computer ScienceQuantum Inf. Process.
- 2016

A construction that turns a category of pure state spaces and operators into a categories of observable algebras and superoperators is introduced, providing elegant abstract notions of preparation and measurement.

Cohomology and the Algebraic Structure of Contextuality in Measurement Based Quantum Computation.

- Mathematics
- 2020

Okay, Roberts, Bartlett and Raussendorf recently introduced a new cohomological approach to contextuality in measurement based quantum computation. We give an abstract description of their…

Cohomology and the Algebraic Structure of Contextuality in Measurement Based Quantum Computation

- Physics
- 2020

Okay, Roberts, Bartlett and Raussendorf recently introduced a new cohomological approach to contextuality in measurement based quantum computing. We give an abstract description of their obstruction…

Informational derivation of quantum theory

- Physics, Mathematics
- 2011

We derive quantum theory from purely informational principles. Five elementary axioms - causality, perfect distinguishability, ideal compression, local distinguishability, and pure conditioning -…

Fantastic Quantum Theories and Where to Find Them

- Mathematics, Physics
- 2017

We present a uniform framework for the treatment of a large class of toy models of quantum theory. Specifically, we will be interested in theories of wavefunctions valued in commutative involutive…

Quantum from Principles

- Mathematics
- 2016

Quantum theory was discovered in an adventurous way, under the urge to solve puzzles—like the spectrum of the blackbody radiation—that haunted the physics community at the beginning of the 20th…

Quantum correlations with no causal order

- Physics, MedicineNature communications
- 2012

It is shown that in a classical limit causal order always arises, which suggests that space-time may emerge from a more fundamental structure in a quantum-to-classical transition.