A formalism-local framework for general probabilistic theories, including quantum theory
@article{Hardy2013AFF,
title={A formalism-local framework for general probabilistic theories, including quantum theory},
author={L. Hardy},
journal={Math. Struct. Comput. Sci.},
year={2013},
volume={23},
pages={399-440}
}In this paper we consider general probabilistic theories that pertain to circuits which satisfy two very natural assumptions. We provide a formalism that is local in the following very specific sense: calculations pertaining to any region of spacetime employ only mathematical objects associated with that region. We call this "formalism locality". It incorporates the idea that space and time should be treated on an equal footing. Formulations that use a foliation of spacetime to evolve a state… CONTINUE READING
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References
SHOWING 1-10 OF 46 REFERENCES
Philosophy of Quantum Information and Entanglement: Formalism locality in quantum theory and quantum gravity
- Physics
- 2010
- 7
- PDF
Towards quantum gravity: a framework for probabilistic theories with non-fixed causal structure
- Mathematics, Physics
- 2007
- 142
- PDF
Quantum Gravity Computers: On the Theory of Computation with Indefinite Causal Structure
- Mathematics, Physics
- 2009
- 62
- PDF
General boundary quantum field theory: Foundations and probability interpretation
- Physics, Mathematics
- 2005
- 94
- PDF
Information Processing in Convex Operational Theories
- Computer Science, Mathematics
- Electron. Notes Theor. Comput. Sci.
- 2011
- 123
- PDF