Ideal measurement and probability in quantum mechanics

Marco Del Seta, Mauricio Suárez

Richard T. Scalettar

M Suarez, Marco Del Seta

PEKKA J. LAHTI

Sandro Sozzo, Luigi Accardi, Guillaume Adenier +5 more

The extended semantic realism (ESR) model embodies the mathematical formalism of standard (Hilbert space) quantum mechanics (QM) in a noncontextual framework, reinterpreting quantum probabilities as conditional instead of absolute. We provide here a Hilbert space representation of the discrete generalized observables introduced by the ESR model that satisfy a simple physical condition, propose a generalization of the projection postulate and suggest a possible mathematical description of an ideal measurement process in terms of evolution of the compound system made up of the measured system and the measuring apparatus.

Krzysztof Sienicki

This work introduces Algorithmic Idealism a framework that reinterprets quantum mechanics as a computational process governed by algorithmic probability informational simplicity and utility optimization Reality is modeled as an agentenvironment feedback loop where agents maximize utility by predicting selfstate transitions Core quantum phenomena such as measurement entanglement and probabilities are explained through informational constructs The paper presents a set of quantum mechanics postulates inspired by this framework and explains their mathematical meaning in detail These postulates include measurement as Bayesian updating entanglement as joint utility optimization and quantum probabilities as utilityweighted predictions Physical laws are shown to emerge as informational regularities from algorithmic constraints By defining identity through decisionmaking consistency and treating simulated and base realities as indistinguishable the framework also resolves philosophical questions about identity and reality This approach unifies quantum mechanics with computational theory offering a novel perspective on foundational physics and its connection to information and computation