# Conditional probability and interferences in generalized measurements

@article{Trassinelli2020ConditionalPA, title={Conditional probability and interferences in generalized measurements}, author={Martino Trassinelli}, journal={arXiv: Data Analysis, Statistics and Probability}, year={2020} }

In the context of generalized measurement theory, the Gleason-Busch theorem assures the unique form of the associated probability function. Recently, in Flatt et al. Phys. Rev. A 96, 062125 (2017), the case of subsequent measurements has been treated, with the derivation of the L{u}ders rule and its generalization (Krauss update rule). Here we investigate the special case of subsequent measurements where an intermediate measurement is a composition of two measurements (a or b) with possible…

## References

SHOWING 1-10 OF 48 REFERENCES

Gleason-Busch theorem for sequential measurements

- Mathematics
- 2017

Gleason's theorem is a statement that, given some reasonable assumptions, the Born rule used to calculate probabilities in quantum mechanics is essentially unique [A. M. Gleason, Indiana Univ. Math.…

Relational Quantum Mechanics and Probability

- PhysicsFoundations of Physics
- 2018

We present a derivation of the third postulate of relational quantum mechanics (RQM) from the properties of conditional probabilities. The first two RQM postulates are based on the information that…

Delayed-choice gedanken experiments and their realizations

- Physics
- 2016

The wave-particle duality dates back to Einstein's explanation of the photoelectric effect through quanta of light and de Broglie's hypothesis of matter waves. Quantum mechanics uses an abstract…

A complementarity experiment with an interferometer at the quantum–classical boundary

- PhysicsNature
- 2001

An experimental investigation of complementarity using an interferometer in which the properties of one of the beam-splitting elements can be tuned continuously from being effectively microscopic to macroscopic, illustrating the quantum to classical transition.

Decoherence, einselection, and the quantum origins of the classical

- Physics
- 2003

as quantum engineering. In the past two decades it has become increasingly clear that many (perhaps all) of the symptoms of classicality can be induced in quantum systems by their environments. Thus…

Consistent interpretations of quantum mechanics

- Physics
- 1992

Within the last decade, significant progress has been made towards a consistent and complete reformulation of the Copenhagen interpretation (an interpretation consisting in a formulation of the…

Survey of general quantum physics

- Mathematics
- 1972

The abstract description of a physical system is developed, along lines originally suggested by Birkhoff and von Neumann, in terms of the complete lattice of propositions associated with that system,…

Quantum superposition of molecules beyond 25 kDa

- PhysicsNature Physics
- 2019

Matter-wave interference experiments provide a direct confirmation of the quantum superposition principle, a hallmark of quantum theory, and thereby constrain possible modifications to quantum…

Decoherence, the measurement problem, and interpretations of quantum mechanics

- Physics
- 2005

Environment-induced decoherence and superselection have been a subject of intensive research over the past two decades, yet their implications for the foundational problems of quantum mechanics, most…