QC352 : Reformulation of Quantum Theory Using complex Conditional probabilities
Thesis > Central Library of Shahrood University > Physics > MSc > 2016
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Abstarct: Recent results obtained in quantum measurements (weak measurement) indicate that the fundamental relations between three physical properties of a system can be represented by complex conditional probabilities. Here, it is shown that these relations provide a fully deterministic and universally valid frxamework on which all of quantum mechanics can be baxsed. Specifically, quantum mechanics can be derived by combining the rules of Bayesian probability theory with only a single additional law that explains the phases of complex probabilities. This law, which of quantum ergodicity, is baxsed on the observation that the reality of physical properties cannot be separated from the dynamics by which they emerge in measurement interactions. The complex phases are an exxpression of this inseparbility and represent the dynamical structure of transformations between the different properties. its quantitative form, the law of quantum ergodicity describes a fundamental between the ergodic probabilities obtained by dynamical averaging and the deterministic relations between three properties expressed by the complex conditional probabilities. The complete formalism of quantum mechanics can be derived from this one relation, without any axiomatic mathematical assumptions about state vectors or superpositions. It is therefore possible to explain all quantum phenomena as the consequence of a single fundamental law of physics.
Keywords:
#weak measurement #weak value #Hilbert space #complex conditional probability #Ergodicity quantum Link
Keeping place: Central Library of Shahrood University
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Keeping place: Central Library of Shahrood University
Visitor: