Informational derivation of quantum theory

By Giulio Chiribella, Giacomo Mauro D'Ariano, Paolo Perinotti. 2010

640 citations recorded by the source corpus.

We derive quantum theory from purely informational principles. Five elementary axioms - causality, perfect distinguishability, ideal compression, local distinguishability, and pure conditioning - define a broad class of theories of information processing that can be regarded as standard. One postulate - purification - singles out quantum theory within this class.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/52be57dc0800200f83654f7c77ef9c38953943f4

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In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

Citations in the corpus

A mathematical theory of resources (2014, neutral): “Note that one can just as easily deﬁne a resource theory of asymmetry for classical process theories or indeed for any process theory, including cases that are neither classical nor quantum such as the framework of generalized operational theories [17, 15].”
Quantum correlations with no causal order (2011, background): “In addition, Bob will have to generate another random bit b′, whose value, 0 or 1, will specify their goal: if b′ = 0, Bob will have to communicate the bit b to Alice, while if b′ = 1, he will have to guess the bit a.”
Causal and causally separable processes (2015, background): “Causal processes In the circuit framework for operational probabilistic theories, causality is defined as the property that the probability distribution over the outcomes of a given operation in a circuit do not depend onwhat operations take place in the absolute future or absolute elsewhere [32] of”
A derivation of quantum theory from physical requirements (2010, background): “In the new representation, the entries of ψ need not be probabilities as in (1), but it may have other advantages.”
The classical-quantum boundary for correlations: Discord and related measures (2011, background): “This is an important feature of quantum mechanics, which can be used to distinguish quantum mechanics from other theories (Chiribella et al., 2011).”