# Derivation of quantum mechanics from a single fundamental modification of the relations between physical properties

@article{Hofmann2014DerivationOQ, title={Derivation of quantum mechanics from a single fundamental modification of the relations between physical properties}, author={Holger F. Hofmann}, journal={Physical Review A}, year={2014}, volume={89}, pages={042115} }

Recent results obtained in quantum measurements 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 framework on which all of quantum mechanics can be based. Specifically, quantum mechanics can be derived by combining the rules of Bayesian probability theory with only a single additional law that explains the phases…

## 24 Citations

On the fundamental role of dynamics in quantum physics

- Physics
- 2015

Abstract
Quantum theory expresses the observable relations between physical properties in terms of probabilities that depend on the specific context described by the “state” of a system. However, the…

Quantum paradoxes originating from the nonclassical statistics of physical properties related to each other by half-periodic transformations

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Quantum paradoxes show that quantum statistics can exceed the limits of positive joint probabilities for physical properties that cannot be measured jointly. It is therefore impossible to describe…

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Abstract.Quantum statistics is defined by Hilbert space products between the eigenstates associated with state preparation and measurement. The same Hilbert space products also describe the dynamics…

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- 2016

One of the most difficult problems in quantum mechanics is the analysis of the measurement processes. In this paper, we point out that many of these difficulties originate from the different roles of…

Dynamics and statistics in the operator algebra of quantum mechanics

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- 2015

The relation between statistics and dynamics in quantum theory is examined and it is pointed out that the Hilbert space formalism can be understood as a theory of ergodic randomization, where the deterministic laws of motion define probabilities according to a randomization of the dynamics that occurs in the processes of state preparation and measurement.

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We study the dynamics of a quantum system in which an intermediate property $m$ is measured in between initial and final measurements of two different non-commuting properties $a$ and $b$. Since this…

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- PhysicsOptical Engineering + Applications
- 2018

Since the wavefunction of a photon only describes the probability of photon detection in time and space, it is impossible to derive uniquely defined trajectories describing the path taken by the…

Sequential measurements of non-commuting observables with quantum controlled interactions

- Physics
- 2014

The origin of non-classical correlations is difficult to identify since the uncertainty principle requires that information obtained about one observable invariably results in the disturbance of any…

Measurements of Negative Joint Probabilities in Optical Quantum System

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- 2016

Quantum information science is based on the superposition principle and the non-local quantum correlation of quantum states. These non-classical properties are still mysterious and inadequately…

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